dy т3 + 6х + 8 Find if y dx x2 4 dy 3x2 + 6 x4 18x? 16х — 24 - | dx 2x (x² – 4)? - || ||

Q: dx (apply the properties on how to solve improper integrals 1 – x²

A: Given query is to find the value of the integral.

Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts Subm...

A: I am attaching image so that you understand each and every step.

Q: TT S sin () Evaluate: 8 cos? dx

A: We will find the value of the integral. 

Q: Use the shell method to find the volume of the solid of revolution generated by revolving the region...

A:

Q: an equal expression on the right. Submitted Answers Choose a match Choose a match

A: We have to calculate the given indefinite integral 

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: dr = Blank 1 Evaluate the Definite Integral 0. I+8x Blank 1 Add your answer

A: A detailed solution is given below

Q: .fe* sin( -4x)dx

A:

Q: tan x+ cot x csc(2x) = %3D

A:

Q: x2-9x + 1, I < 9 Evaluate the following limits for h(x) = and Justify your answer. 10 x, x2 9 (i) li...

A:

Q: If f(a) = 3 cot- * + 6, then find the value of f(-8) is -6 V65 V65 оо оо о

A: Solution ) f(x) = 3cot-1x + 6 Differentiate with respect to x  f'(x) = 3 (d/dx)  cot-1x + (d/dx) (6)...

Q: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

Q: リ=x; sin(t3) dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be m...

A:

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: xy = 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

A:

Q: Find the area of the region between the parabola y = 9 - x2 and the x-axis. Round your answer to thr...

A:

Q: For the Limits of Logarithmic Function, we should consider that limx→a ln g(x) = ln g(a) where g(a)...

A:

Q: Adx + (x-y + 2)²dy = 0

A: As per bartleby guidelines we are supposed to answer only 1 question per post. This post contains 2 ...

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: Cosx Evaluate the Integral dx. sinx 1 + C 3sinx A B) 1 +C sinx - +C 3sinx 1 +C sinx

A:

Q: S- dx = In]x| – e* + C 5. S 2²+3*dx = 4| + C In 8

A:

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

A:

Q: Consider the following. f(x) = x3 - 27x + 4 (a) Find the intervals on which f is increasing or decre...

A:

Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: Find the integral. S 12:3 k dx x9/2 + C B x9/2 + C x9/2 + C 24 x9/2 + C A,

A:

Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about th...

A:

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

A:

Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130...

A: topic- exponential function

Q: ( 22 – 3z + 1, z < 3 14- 2, *23 valuate the following limits for h() = and Justify your answer.

A:

Q: A). Domain, Symmetry, Asymptotes, Intercepts, B). f', Critical Points and Local Max/Min Values, C). ...

A:

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: 5 (23 — 2) (2а? — аг)* dar

A:

Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the ...

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes th...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Š(- 1)*+'6 k! ...

A:

Q: Evaluate using techniques of integration or integration by parts

A:

Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

A:

Q: 1-Vy dy Vy 4

A: We need to find the given integral.  

Q: The integral of tln i with respect to t is; © none of the given choices Oin-3)+c ln-1)+C

A:

Q: Find the equations of the tangent plane and normal line to the surface with equation 9y? + 9z2 = 22 ...

A:

Q: Evaluate: / cot-12 e Sa dß. ß cot-12B – In|1+482| + C A B cot-128+ -In| 1+482| + C 8 ß cot-12B+ In|1...

A:

Q: 4.) Find the derivative of the following functions a.) y = sin(x) + cos(x) b.) y = csc(x)cot(x) c.) ...

A:

Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

A:

Q: g(x) = 190 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer in interval notation.) F...

A: Given g(x)=190+8x^3+x^4

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power...

A:

Q: Calculate the curvature of the vector function when t= -7: 7(t) = (1+ 2t, 7 – 3t, -8 + 5t)

A:

Q: 5. arcsin 1

A: Solution ) arcsin1 = sin-1(1) [ Sin (π/2) = 1 ] Sin-1(sin(π/2) ) =π /2 Or in radian = 1.5714

Q: Use the Root Test to determine if the series (-1)"2* en² (2n² – 1)" n=1 converges or diverges.

A: By using the Root Test to determine whether the given series converges or diverges.∑n=1∞-1n21nen22n2...