23-28 Use a linear approximation (or differentials) to estimate the given number. 26. 100.5

Q: Let f(x) = 8x³ - 15x²-5, x21.5. Find the value of dx df The value of (Type a simplified fraction.)…

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Q: A. // OB. OD. - Evaluate the area of the egion bounded belo c. 31/12 E. 6 and above

A: Given query is to find the area bound.

Q: The length of a rectange is increasing at a rate of & cm/s and Its width is increasing at arale of 3…

A: Given: The rate of increasing of the length, dLdt= 8 cm/sec The rate of increasing of the width,…

Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: • J₁ (2 E Evaluate (x + y - 32) dV where E Round your answer to four decimal places. {(x, y, z) | −…

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Q: 10. Q (-10x+17) P and (-17x - 1)º b R (-32x+1) E

A: To find  the angle measure of -10x+17°, -32x+1°, and -17x-1° in the following triangle.

Q: A projectile is shot from the top of a building 96 ft high from a gun at an angle of 30° with the…

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Q: 3. Find parametric equations for the line passing through (1,4) and (5,-2).

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Q: 4. Find the surface area of the part of the paraboloid z = x² + y² lying inside the cylinder x² + y²…

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Q: The function f(x) is increasing on the open interval ( = 6x³ – 9.27x² + 338.184x It is decreasing on…

A: If f′(x)>0 on an open interval, then f is increasing on the interval. If f′(x)<0 on an open…

Q: or has Solve the system. State if the system is inconsistent infinitely many solutions. If the…

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Q: A particular solution of y" + 4y' +4y=t-²e-²t -te-2¹ Int -e-²¹ Int a. b. C. d. e. a C -e-²¹(Int+t) -…

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Q: A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0) = 0) to 50…

A: Acceleration

Q: Differentiate the following function: f'(x) = Part 2 - Evaluation Evaluate the derivative you found…

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Q: Answer the following questions for the function f(x) = x√√x² + 1 defined on the interval - 6 ≤ x ≤…

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Q: Evaluate the surface integral f(x,y,z) ds using a parametric description of the surface. S f(x,y,z)…

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Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

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Q: A store's sales on day x are given by the function S(x) below. Find the average sales during the…

A: A store's sales on day x are given by the function: S(x)=100x+9x2

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: NOTE: Refresh your page if you can't see any equations. . from the given data, make a figure here…

Q: Let R be a rector - valued function defined by R(t) = cost + +1,et) if t#0 ¡ J - K if t = 0 a. Find…

A: Aim:  To determine the continuity of R→t at t=0. -------------------------Given: R→t=1-costt, t+1,…

Q: Find the volume of the solid that lies under the paraboloid z = 64 x² - y² and above the unit circle…

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Q: Find 2 6 [["² 4 xy dydx.

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Q: Please solve these equations for me! I would like it if you could show the work but a just an answer…

A: We can solve the given equations.

Q: The function f(x) 2x³ + 42x² one local minimum and one local maximum. This function has a local…

A: Given f(x) = -2x3 + 42x2 - 270x + 11 Concept first find x for f'(x) = 0 then find f''(x) if f''(x)…

Q: Find the indefinite integral. [Hint: Use some algebra first.) (Use C for the constant of…

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Q: 2. Let R be a vector-valued function defined by R(t) cost, t+1,e¯t ) j - k - a) Find dom R. b)…

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Q: A company's marginal revenue function is MR(x) = 700x-¹ and its marginal cost function is MC(x) =…

A: A company's marginal revenue function is MRx=700x-1 and its marginal cost function is MCx=300x-1…

Q: The owner of a cattle ranch would like to fence in a rectangular area of 2000000 m² and then divide…

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Q: Given the vectors A=-a +5a-3a B=11a -0.5a +2.5a 0 Evaluate the following |A|(2a +B) O 74.7621a…

A: To evaluate the given vector expression

Q: A particle moves with position Function S= +"-41³-20t+ 20+ where t=0

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Q: Question 1 - Consider the function f(x) = 4x² + 48x +3 on the interval [ 10, 2]. Evaluate this…

A: Let's find Rolle's theorem is apply or not.  And find c value.

Q: 7 7³ 13 13³.3 + 75 135.5 77 137.7

A: The given infinite series is: 713-73133 . 3+75135 . 5-77137 . 7+..... Evaluate the given sum of the…

Q: dy Write the function in the form y=f(u) and u= g(x). Then find as a function of x. dx y=(-1-73)¯**…

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Q: Find all points (x, y) on the graph of f(x) = x³ - 2x² + 8x + 18 with tangent lines parallel to the…

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Q: Evaluate ]]] (42³ + 3y² + 2x)dV B = {(x, y, z) | 0 ≤ x ≤ 3,0 ≤ y ≤ 4,0 ≤ z ≤ 2}.

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Q: Find the derivative of the function. √S-6 √5 +2 f(s) =

A: To find the derivative of given function

Q: Find the volume of the solid that lies under the paraboloid z = 9² x² - y" and above region 1 R =…

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Q: Let f(x) = (34x)6 f(x) has one critical value at A = For x A, f(x) is Select an answer

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Q: on At what point ds the curve y = √T+2x is the tangent line perpin dicular to the line 6x +2y=1

A: Given query is to find the point in the curve where tangent is perpendicular to the given line.

Q: The length of a rectangle is increasing at a rate of 6cm/s and its width is increasing at a rate of…

A: We are required to find the rate of increase of the area of rectangle when the length of rectangle…

Q: dy dx differentiation: 42x53 cot y = y³ - 42x 1. Find for the following by implicit

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Q: Question 2: Show that the lines of equations x = -1+t, y = −2+t, z = 3t for t = R and x = 5+s, y =…

A: Show that the lines of equations x= -1 +t, y= -2+ t, z= 3t for t in R and x= 5+s, y= 8- 2s, z= 7s…

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: 4. If R(t) = e-ti + etj + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

A: We have to find the speed , tangential,normal components of acceleration when t=1

Q: s x cos x dx x sin x + cos x + C O a. x sin x O c. cos x + C Oe. None of the above. X COS X- sin x +…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: Given query is to find average cost and marginal cost function.

Q: For # 1-3, use a 1. arctann n=1 1+n²

A: series comparision test

Q: Determine a unit vector perpendicular to the plane containing the two vectors A=10a3a +4a_ x y B= 2a…

A: To find the unit vector perpendicular to the plane containing the two vectors

Q: Find the equation of the tangent line to the graph of x²y² + 8xy = 3120 at the point (-5, 12).

A: equation of tangent line of x2y2+8xy=3120, at -5, 12

Q: Find all solutions to 2 sin 0 cos 0 + V3 sin 0 = 0 in the interval 0° ≤ 0 < 360°.

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…