Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f"(x) = 8x³ + 48x – 1 f(x)

Q: y(z – 2x)100 = y – xz; Xy and yz. |

A:

Q: Use the properties of infinite series and the fact that Σ 1 1. 1 and 4 5" n = 1 6' n = 1 5 to find…

A:

Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

A:

Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

A:

Q: XVx In 2x-

A:

Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 2 1 lim t++00 \ 5t2 + 6'4t (?, ?)

A:

Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

A:

Q: Consider . x2 +2x- 10 2 2 (2x + 4) +1 dx evaluate dx = x² (x² + 4x + 5) (2x+4) +1 dx - x² + 4x +5 -…

A: Topic = Integration

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Solution: In the plane z =0 the two cylinders intersect x=±1, y=0y=1-x2 meets the y-axis at…

Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

A:

Q: USING A- V2P de, FIND THE AREA OF ONE PETAL OF THE ROSE DEFINED BY THE EQUATION 3cin(2B)

A:

Q: dx Using Trigonometric Substitution -sin e+C express the answer in terms of x. (x² + x + 1)7 4х+2 +C…

A: Given ∫dx(x2+x+1)32=43 sinθ +C

Q: [ 2x4+3x2 - 1 dx as Rewrite integral of sum of partial fractions. (x3 – 4x² + 5x)?

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: az Find and for each of the following functions. ax ду a. z = x²y+ b. z = (x* + x²)y³ c. z = yzsin…

A:

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

A:

Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A:

Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

A:

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

A:

Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

A:

Q: (2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate…

A: We can solve as follows

Q: Find the average value of f over the given rectangle. f(x, y) = 2x2y, R has vertices (-5, 0), (-5,…

A: Let's find.

Q: find the inverse laplace transform

A:

Q: x²+4x-5 dx = Using Trigonometric Substitution : f(e)de find the new limits of integration. x+2 a = 6…

A:

Q: x2 dx is F(b) – F(a). where F(a) and F(b) are real numbers. What is the value of F(a)? The result of…

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: Consider the statements: P:= Today is Monday. Q:- Amy has no classes. R:= Tomorrow is a busy day.…

A:

Q: Performance Task Determine the antiderivatives of the following 1. sec24x dx 2. [(tanx – 1)²dx dx 3.…

A:

Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

Q: By about how much will g(x,y,z) = x + x cos z -y sin z + y change if the point P(x,y,z) moves from…

A:

Q: Find all points (x,y) on the graph of y = x-4 with tangent lines perpendicular to the line y = 4x +…

A:

Q: I'm having a hard time with 8 I just don't understand

A:

Q: ху x+

A:

Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

A:

Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

A:

Q: dx -= In[F(x)]+C• What is f(3) For (x+x³) (x Tan-!x+1) 3 3 -1 3 6. + 3 + + +

A:

Q: 2n+1 5. Σ 'n°(n+1)² n=1

A: let  bn=1n3∑n=1∞1n3    is convergent   by p series  Recall ∑n=1∞1nP    is convergent  iff p>1

Q: Evaluate the proper Integral X-X aJ Simplified form b) Values of A, B,C,D CCD P needed) C)…

A:

Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

A:

Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

A:

Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

A:

Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: Safari File Edit View History Bookmarks Window Help A docs.google.com Google Docs Untitled document.…

A:

Q: f2x² Find uv- v du Using Integration By Parts, dx =uv- du UV- | S12 xe 6 x2 dx 3 x2 6x e dx 02

A:

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: S****2 x² + x +2 Evaluate x2 – 1 x+ In- (x – 1)2 +C x+1 x+1 x+ In- (x- 1)2 +C x+1 In- +C (х-1)2 о.…

A:

Q: The equation r(t) = (t + 3) i + (7t) j+ (3t) k is the position of a particle in space at time t.…

A: Let's find.

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…