Find the general Solution For D-E cosy dx + (x Siny - 1) dy =o

Q: 27. f(x) = 1 x² + 1 2 on [-1, 1)

A: Average value of f on [a,b]fave =1b−a∫abf(x)dx

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a…

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Q: Part III.  A tank contains 400 liters of water. A solution with a salt concentration of 0.4 kg/L is…

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Q: Using the following solve the following conversion:  16 liters = how many quarts? 1 liter = 1000ml…

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Q: 4y" +16y' + 17y= 0, when y = 1, x = 0; y = 0, x=n

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Q: for f(x) Verify that the hypotheses of the Mean-Value Theorem are satisfied √49 – x² on the interval…

A: we have given that

Q: There is at least one polynomial function which satisfies the conditions below. F(8)= 56; F'(x) is…

A: we have and F'(x) is non zerofind F(x)?

Q: 5. Determine the volume of the solid obtained by rotating the region bounded by z = ³ - 5y² and the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dxThen find dy/dx at t=pi

Q: Consider the function f(x) below. Over what interval(s) is the function concave up? Give your answer…

A: given function

Q: Find the angle 8 between the vectors in radians and in degrees. U = COS = cos(T)i + sin(7)j, v =…

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Q: 10 [²0: 9x - 1 x²(x + 1) dx = - [ ²010 dx - [10 / / + dx - 1²0 x 140 1 dx +

A: I=∫1109x−1x2(x+1)

Q: using the newton - rophson method with three iterations Find a root of the function f(x) =…

A: The given function is

Q: Find the exponential function y = Cekt that passes through the two given points. y = 10 8 0 (0,2) 2…

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Q: - 9 √²x²=2 dx = √² ((x² + 1) = 10) dx 1 + 10 1 +

A: ∫01x2−91+x2dx=∫01((x2+1)−101+x2)dx

Q: Fill in the blanks using the information given. Consider the series Then, an is [Select] Since n=1…

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Q: Approximate the area under the graph of f(x) = 0.05x -3.24x+87 over the interval [3,11] by dividing…

A: The given function is The left endpoint sum

Q: #1.) cotxdx √9-in sinx ત્ર

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Q: Find the general Solution For D. E x² dy + x(x+2) Y = ex dx

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Q: Use Newton's method to approximate a root of the equation 327 +4x + 4 =0 as follows. Let x₁ = 3 be…

A: given equation we need to find the second and third approximation.

Q: use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: d'y Solve the following differential equation by Laplace transform metho dy +4 dt + 3y = e, given…

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Q: Question 4.21) Evaluate the following limits. sin² (1)-1 1-4 A) lim 2/2+1 B) lim x-0 Question 4.22)…

A: a) limx-infinity x[arc(tanx)-pi/2]According to Bartleby guidelines we solve only one question repost…

Q: A 4.6 ft tall man is walking away from a 28 ft tall lamp post. If he is walking at a rate of 4 ft/s,…

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Q: Find the general Solution of . T NOTINTOS dy dx = 2 x e x²²

A: dy/dx = x2

Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=

Q: Question 4 Find the expression for the exact area of the surface obtained by rotating the curve…

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Q: Find all solutions of the equation. +√√2=0 6) 2 cos x + 1

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Q: The average value of v(x) equals 2 for 1 ≤ x ≤ 3, and equals 6 for 3 ≤ x ≤ 11. Find 11 ["v v(x)dx 72…

A: The average value of  equals 2 for , and equals 6 for .To find .

Q: 2 f (sin-¹1) ² dn

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Q: The graph shows the derivative of a function f. If f(0) = 3, what is f(2)?

A: given graph of the f' to find the value of f(2).

Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

Q: Evaluate the integral by interpreting it in terms of areas. 4 [3₁ |x| dx

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Q: An aluminum can is to be constructed to contain 2600 cm³ of liquid. Let r and h be the radius of the…

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Q: Tutorial Exercise Express the limit as a definite integral on the given interval. lim Σvil (2 + x)…

A: The definite integral  can be written in the limit form on the interval [a,b] as

Q: It is known that y = ekt is a solution of the differential equation y" - 25y = 0. Find the values of…

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Q: Use upper and lower sums to approximate the area of the region using the given number of subinterval…

A: finding the area using upper sum and lower sum.

Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: 6. Given the implicit curve, x² - In line at (1,1). In () = 1, Write the linear approximation L(x)…

A: The given implict equation is

Q: Given the values of the derivative f '(x) in the table and that f(0) = 195, estimate the values…

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Q: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

A: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

Q: Find the values of constants a, b, and c so that the graph of y=ax^3+bx^2+cx has a local maximum at…

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Q: 10. f(x) = e² 12. h(m): 2 化 Vm

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Q: In each of the following functions is there any value of x where the function is discontinuous? If…

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Q: B) y(x) = 2+x

A: I have appended the formula used in solution procedure

Q: Given that /1 3 - 3م = ex dx + (ی - آe)3 - e, use this result to evaluate 3 3ex + 4 dx.

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Q: Use Newton's method to approximate a root of the equation 2x³ +5x + 1 = 0 as follows. Let x₁= 2 be…

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Q: A) lim x²-x+1 5/3 x+2 3

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