ex What is the integrable form of dr? e* – e° A 2 du B (u²– 1) ² du (u²– 1) ² du D (1-u²) ² du

Q: A ball is dropped from a height of 64 feet. Its height above the ground (in feet) t seconds later is...

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the ...

A:

Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

A:

Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square un...

A: Please refer to the image below 

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

A:

Q: The slope of the tangent line at any point (x, y) on a curve is 2,5. If the point (9, 3) is on the c...

A: Given:     y = 2√x   Point: ( 9 , 3 )

Q: TC If f(x) =, then f tan x II

A:

Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: | cos?x tan³x dx

A: To evaluate the following integral

Q: Which of the following is an improper integral? A) In(1+x*)dx -dx -4 x² – x – 2 В dx C 2x + 8 C In(3...

A:

Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: Let S be the sphere of radius 3, centered at the origin, oriented outward. [x³ + 2 sin(z)] y3 – 10xz...

A:

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square un...

A:

Q: Solve the differential equation. dy 2 36 - y, -6<y<6 dx y = 6 sin (2x + c)

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

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

A:

Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2 ...

A:

Q: V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x ...

A: All the parts have been solved in detail

Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: 1. Integrate using partial fraction decomposition. x2-2x a) S dx (x+3)(x-2)² b) S 2x+1 dx x3+x

A:

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: Find the equation of the curve for which d-y -=6- 9x and which passes through the points (0, – 1) an...

A: Equation

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: d'y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

A: By our policy we are allowed to do one question at a time. Kindly repost other problem other questio...

Q: The Series - 3. ハニ1 A) Diverges by the Direst compurisont

A:

Q: A population P obeys the logistic model. It satisfies the equation dP 7 P(5 – P) for P > 0. 500 dt (...

A:

Q: Find the area of the region bounded by the curve y =1--x² and the x-axis. 8 square units 6 square un...

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

Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

A:

Q: Question 4 e* What is the integrable form of dx? ex - e -X (1-w²) du u 2 du Į (u?-1) 2 du

A:

Q: cos2x – sin2x cos2x For -F(x)+C. What is F(x)? cosx – sinx

A:

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

A:

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: - -r(0)+c The resulting integral of sin-cos-sino de has the form +C. What should be the value of a t...

A: We will find the value of theta. 

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: dx Evaluate Зх — 12 1 (A 00 В) о + 00 D 1

A: Here is the solution  

Q: d'y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A:

Q: The slope of the tangent line at any point (x. y) on a curve is 2x. If the point (9, 3) is on the cu...

A: the slope of the curve is the derivative of the function at that point.' here we have to form a sepa...

Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

A:

Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

Q: What is the integrable form of sin 0 sin-cos-sine d@? 2 2 u² – 1 du 1– u² du 2 | cosu du -2 | sinu d...

A:

Q: The resulting integral of -F(0)+C What should be the value of e to make F(0)=0? sin- cos-sine de ha ...

A:

Q: Can you please solve Q7 Thank you

A: Please see the below picture for detailed solution.  I solved question number 7.

Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3...

A:

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.