X Dx f¹2dt 4+t -X

Q: Find a value of c so that f(x) is continuous at x = 1. f(x) = O c=1 O None of these Oc=0 ○ c= -1 O…

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Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: Consider the following. 3(1 + 104x) = 8 (a) Find the exact solution of the exponential equation in…

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Q: 2. In each item, give the standard equation of the circle satisfying the given conditions. a. center…

A: as per the rules we are supposed to answer only the first question and rest other can be reposted.

Q: Which of the following is equivalent to 2x + 5 S (2-4x) 5 after appropriate algebraic substitution…

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Q: -4-x² - y² 4 component. For the function f(x, y) (-3, -3) that has a positive find a unit tangent…

A: Let's find unit tangent vector.

Q: 2. 3 (D-9)³y=0

A: Let's solve given diffential equation.

Q: SHOW COMPLETE SOLUTION A right circular cylinder is given. A slice perpendicular to the bases…

A: As we know that Volume of a right circular cylinder is πr2h, where r and h are radius and height of…

Q: Let [145 Find f(x) dx = 7, 13 + [1² f(x) dx = [ 11.5 and 11.5 $ 1.1³ 13 11.5 [ 7f(x) 6 dx = = f(x)…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

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Q: (Extra Credit] A 12-foot ladder leans against a wall. While the base of the ladder is sliding away…

A: let at any moment base distance = x height of top end of ladder at any time = y ladder height = h…

Q: Test the series below for convergence using the Ratio Test. (-1)"62n+1 (2n + 1)! The limit of the…

A: The given series ∑n=0∞-1n62n+12n+1! We have to find the convergence of the series using the ratio…

Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) =…

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Q: * 36, got 6=-8, 311/2<0² 2π1₁ eSC

A: given cot(∅)=-8tan(∅)=1cot(∅)=-18∅=tan-1-18∅=352.8749837o

Q: 1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined…

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Q: 190000 red ow 65. Find limx→ f(x) if bas :S 4x - 1 21010x <f(x) < C+x81 4x² + 3x x² 2834

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 17e^x…

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Q: 5e 42 sin(y), find a unit tangent vector to the level curve at the point component. Present your…

A: The function is  f(x, y)=-5e-4xsin(y)

Q: • [ε (a) Evaluate S (b) Evaluate 3.re dr. r² sin z dr.

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Q: 7. Find the rectangular equation if r = 4 cos 0 + 4 sin 0 (a) (c) x² + y² = 4 x² + y² = 4(x + y) (b)…

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Q: above by the surface Tuery² and below bu

A: We have to find the volume by double integration according to the given information

Q: Find the slope of the following lines.

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Q: 3 Directional derivatives Question 1: What are the directional derivatives of the following…

A: 3. Directional Derivatives: Question 1. fx, y=1x-2y along the direction u=1, -1 at the point 1, 2.…

Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: New question: 37 please as well

A: The given function is; y=xx.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: we need to find out the volume.

Q: Q3.4 You have been given the Solve it and write function of x. Your youtu wer innitial value problem…

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Q: In (ecos5x) dx

A: Given query is to find the integral.

Q: Evaluate sin(-945°) without using a calculator. 1.-1 i 2. 3. 4. 5. None of these None গোলান 6. 7. 8.…

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Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: f(x) = x²e-x (a) Find the exact value of the minimum of f for x ≥ 0. f(x) = Find the exact value of…

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 3 sin8(k)…

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 2x² + 4y² = 24

A: To find the maximum and minimum values of the function fx, y=x2y subject to 2x2+4y2=24.

Q: Find the slope of the following lines.

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Q: Let Ġ(x, y) = (x², y). Calculate the flux of G across the line segment from (0, 0) to (1, − 2).

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Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: 1. | xe3xdx

A:

Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = x³y². The directional…

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Q: 1.1. Evaluate the following integrals: a. ²x dx b. (2x+3)√2x-1 dx

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Q: y"" y'=sin(3x)

A: The given differential equation is:y'''-y'=sin(3x)

Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: Find an appropriate change of variables (and then use it) to evaluate 1/₁₂ (x + y)² ex²-y² dx dy R…

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Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…

Q: Use linear approximation, i.e. the tangent line, to 1 1 as follows: Let f(x) = and find the…

A: We need to approximate value.

Q: Find and classify the stationary points of f(x, y) = (x² + y)e/2.

A: