Use u-substitution to find the integral of (2x+5) (x3+5x+3)4

Q: Find the area of the irregular quadrilateral shown below. (Note: none of the angles shown are…

A:

Q: Use the fundamental identities and simplify the expression sin² x (cot² x + 1) to get a numerical…

A:

Q: Problem 5. series: Compute the radius and interval of convergence for the following (c) n=0 x2n…

A:

Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A:

Q: Evaluate the surface integral SS √x² + y² + z² dS over the portion of the cone z = √x² + y² below…

A:

Q: An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each…

A:

Q: Find the area of the shaded region. 30) f(x) = -x3 + x² + 16x g(x) = 4x -4 (-3,-12) -2 30- 20- 10…

A:

Q: Find dx for each of the following. 3 (a) y sin³x4 = (b) y + xy = 7

A:

Q: Give the equation of the tangent line to the graph of the function y = x - ln(2x) when = Give your…

A:

Q: Find the following antiderivatives: 2 In²(x²) √= 1.) x + x ln(x²) dx

A:

Q: A bowl of soup at 80° C sits in a 20° C room and cools to 74° C after 1 minute. Using the model for…

A: T( t ) = ( T0 - Ts)ekt + Tswhere T0 = initial temperature Ts = surrounding temperature T( t ) =…

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A:

Q: Use implicit differentiation to find dy/dx in terms of x and y: x - 3y = 2xy

A: Differentiate

Q: A particle is moving with the given data. Find the position of the particle. v(t) = 2 cos t + 4 sin…

A:

Q: Solve for the Wronskian of the given functions: f₁(x) = x^2, f2(x) = 3x, f3(x) = 2x+1. 3 O x^2 6 -X

A: Given f1( x ) = x2f2( x ) =3xf3( x ) =2x + 1

Q: Do the following. (a) Determine the linearization of f(x) = ln x about the number e. (b) Using your…

A:

Q: Evaluate each of the following integrals 5. 2 dx x-1 2

A: (5) Evaluate ∫122dxx-1=?

Q: Evaluate each of the following integrals 2. √2x²-x+4 dx S x(x²+4)

A: Given integral ∫2x2 - x + 4x ( x2 + 4)dx

Q: sider the functic f(x,y

A: F(x,y)= 6 x2 y3 + 3x-2y -8 xy-2 - 5y3  We have to find the following partial derivative when…

Q: 5 13' 1 a) sin0== c) tane=- 3 and cos0

A:

Q: This question summarizes a few simple facts about polynomials. Recall that a polynomial p can be…

A:

Q: If f(x) = 7+ f'(x) = Find f'(3). ƒ'(3) = 5 X + 2 x2 I find f'(x).

A:

Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: Find the sum. k 1 Σ4(3) - 1 k = 1

A:

Q: Use the definition of the Taylor series to find the first four nonzero terms of the series for f(x)…

A:

Q: 17. Given a velocity function v(t)=3t-5 (in meters per second) for a particle in motion from time…

A: We need to find out the net displacement of the particle.

Q: m(x)=ln(4-x^2) Find domain

A:

Q: dy dx poileupe sijusionit = xey+x² y(0) = 0 2

A: To solve the following initial value problem IVP.dydx=xey+x2 , y0=0

Q: ƒ cos (x) = 3, and 0 < x < 1/₁ then exactly one of the following statements is true. Pick the…

A:

Q: For the sequence defined by: a1 = 1 an+1 TODA Find: a₂ a3 a4 ||

A:

Q: ), find

A:

Q: ဂီ (2³+3)² dx

A:

Q: 15. I se sec 3t tan 3t dt 17. f cos (1 + 5t) dt S

A:

Q: A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material…

A:

Q: 2. Verify: (sinx+cos x)² = 2 − (sin x − cos x)² -

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Given : for x = 2 , find derivative

Q: -4x² + 10x - 5 x(x - 5)(2x + 1) Determine the correct partial fraction decomposition for the…

A:

Q: Evaluate the definite integral. */3 π/6 csc(t) cot(t) dt

A:

Q: A chain 180 meters long hangs over the edge of a building that is 180 meters tall. The chain weighs…

A: Given:  A Building of height 180m.  The rope with weight of 25N per meter.  The water bucket with…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. =…

A:

Q: Match each polar coordinate equation with a description of its graph. 1.0=3 A. vertical line B.…

A: Given:  (1)  θ = 3   (2)  r = 3   (3)  r = 3 cos θ

Q: f(x)=(3x2−12)2 Step 2 of 2:  Use the Second Derivative Test to locate any local maximum or minimum…

A:

Q: To find the absolute max and min of f on [a,b], we compare the values of f' at the critical numbers…

A: Please see the below answer.

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

A:

Q: Evaluate the integral. 29) Sx8(x9-9)4 dx

A: we know that   ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: The graph of the function f is given. 24 18 y 12 6 0 6 y = f(x) (i) L (sample points are left…

A:

Q: Evaluate the indefinite integral: / (+/-5VF) dx = +C.

A: Here we have to find the integral.

Q: The curves F1(t) = (- 3t, t³, t²) and F2(t) = (sin(2t), sin( – 4t), t — ) intersect at the origin.…

A:

Q: Find F'(x) given that F(x) = Provide your answer below: K 4x 5 In 1² dt. (Do not include "F'(x) ="…

A:

Q: 7 5 ·TT²² Find x + y dydx.

A: