Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: Suppose 4x2 + 16y2 = 100, where x and y are functions of t. dy (а) If dt 1 dx find when x = 3 and y ...

A:

Q: Evaluate the given limits: Identify if the given limit is NORMAL, ONE-SIDED or DOES NOT EXIST. If th...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: 5x2 + 1 dx2

A:

Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four...

A: Here the given vectors are a=ci+j & b=6i+8j

Q: Find the area between the curves y = x² + 1 and y = x + 1.

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

A:

Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

A:

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: This question can be solved using the concept of rate of change of physical quantities.

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1 

Q: Given two planes: 3x + 9y-4z = 0 and x + y- 5z = 8, determine the value of the angle between these t...

A:

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2...

A:

Q: Let X = [0, 1]. Consider the following claim: “For every complete binary relation on a non-empty set...

A:

Q: nt Use A = P(1+– where: n A = the amortized amount (total loan/investment amount over the life of th...

A:

Q: Starting from home, a car drives along a straight east/west highway, The table below gives the car's...

A:   t(hours) 0 0.5 1 2 3 3.5 4 5 d(miles) 0 15 49 74 66 32 0 0   A) average velocity:i) 0≤t≤ 0...

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

A:

Q: Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or diverge...

A:

Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A) -2X/(...

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

Q: _12. x siny - y sin x = 0 _13. x cos y +y cos x = 0 14. tan?y – 2 tan y +1 =x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Evaluate: " sin7 cos4 dx

A:

Q: y³e-2y dy

A: Given :∫y3e-2ydy

Q: (2³ – 2) (2a² – x²)² dæ

A: We have to find value of given indefinite Integration.

Q: A linear function is given. Complete parts (a)-(d). g(x) = - 3x +4 (a) Determine the slope and y-int...

A:

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: Since you have asked a question with multiple parts in a single request, we would be answering only ...

Q: What is the amplitude and period of the function shown below? 5- 4- 3- 2- 1- -2 -1 -1 -3 2 3 4 6. -2...

A:

Q: 2. Sketch the region whose area is given 25 by the definite integral Jo V25 – x² dx and then use a g...

A:

Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

A:

Q: Find an antiderivative of the given function. A 195 В 13/8 D <13/5

A: Integrate given function. 

Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

A:

Q: a | t. (a² – t²)®* dt 0.5

A:

Q: Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the exa...

A:

Q: A solid lies between planes perpendicular to the x-axis at x= -5 and x= 5. The cross-sections perpen...

A:

Q: Find the area of the region between the parabola y=64-x and the x-axis. Round your answer to three d...

A:

Q: 1/2x (In2) In x (use L'hopital's Rule)

A:

Q: '5 '5 A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 10, ...

A: Given problem:-

Q: Evaluate: sin ycos ydy. sinºy A siny +C 8. 6. sin y sinsy + C 8. sin°y sin'y + C 8. - 6. sin'y + C 8...

A: Here we need to solve the given integral .  

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

A:

Q: 43 dx Blank 1. Without any computation, find the values of %3D Blank 1 Add your answer

A: Given integral can be solved by applying power rule

Q: Evaluate the integral

A:

Q: 1 1 + e6x xp

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: Find the values of x for which the series converg n- 0 -0, – 5) U (5,0) Find the sum of the series f...

A: We need to find sum of the series.

Q: 3. f(x) = Vx - 5 is continuous on the interval [5, 0) %3D

A:

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

A:

Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: 7/3 x tan (x) dx 2

A:

Q: NTEGRATE THE FOLLOWING (use integration techniques) - S sin rsin4rdx

A:

Q: (주) X X Evaluate: " sin' cos* () d 4

A:

Q: x'dx 1. Integration by Parts f Vx4-5 dx 2. Algebraic Substitution f (x+2)vx+1 3. Trigonometric Subst...

A: