I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-1 2. y = %3D cosx + 2

Q: S- 10* -dx may be written as Aln secB*+ tanB*| + C, where A, B, and C are constants not equal to zer...

A:

Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx= x...

Q: Which of the following integrals is equal to the integral / f(3x– 5) dr? f(2) dz 3 B dz 7/3 © "(e) d...

A:

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Ev...

A:

Q: dx Evaluate 3x – 12 + 00 00 O 1 8 8

A: On solving this we will get

Q: Evaluate the derivative of f(x)=√x2-1, using the formula:

A:

Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What shoul...

A:

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

A: To evaluate the integrals using the formulas for area of triangle and circles. 

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. O 21/2 square ...

A:

Q: sin-cos-sino de has the form - 2 The resulting integral of + C. What should be the value of 0 to mak...

A: To evaluate the integral ,use the following trigonometric formulas.

Q: -p² Suppose the demand for a certain brand of a product is given by D(p) = 352 is expressed as p(c) ...

A: We will find the demand function. 

Q: e* What is the integrable form of dr? e* - e -* (u² – 1) ² du (1– u²) Z dr 1 (u²– 1) 2 du 2 – 1) ,? ...

A: Integration

Q: sinx sinx +x +e COSx - e The integral dr may be written as me nsinx + px + ge + C, where m, n, p, q,...

A:

Q: Complete the table to determine the effect of the number of compounding periods when computing inter...

A: topic - compound interest

Q: Question 6 The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) ...

A: Note that, the slope of the curve y=f(x) is given by: dydx Now, given that the slope is 2x. So, dydx...

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. 

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

A:

Q: d?y -=6-9x and which passes through the points (0, -1) and (2, 3). 20. Find the equation of the curv...

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A) 56/3 square...

A:

Q: Question 13 d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of t...

A: To find the equation of the curve satisfying the given conditions .

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

A:

Q: The integral of the function below may be written as men sin(x) + px + qe"x + C. Where m, n, p, q,r ...

A: First we solve integral . Follow step 2nd . 

Q: dx Evaluate 3x – 12 O 1 + 00 8 8

A: Solution is here

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A:

Q: dx = In[F(x)]+C.What is F(3) if C= 0? For %3D (x+x³) (x Tan-x+ 1) A B -1 + 3 D -15 -15

A: Please see the below picture for detailed solution. 

Q: [(2-sec²x) elnate sec³x dr What should be the value of A for to be integrable using the formula 'du ...

A: Let's find. 

Q: The antiderivative of fx0, denoted by Fix), exhibits an odd symmetry ie., it satisfies the property ...

A:

Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

A:

Q: Given cost and price​ (demand) functions C(q)=110q+44,000 and p(q)=−1.9q+890​, what is the maximum r...

A:

Q: C2- rec2,)e ln (a le) recr

A: We have to find the value of A according to the given information

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

A:

Q: The integral of (10^x/cos 10^x) dx may be written as A ln (sec B^x + tanB^x) + C. Where A, B and C a...

A:

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

A: We need to find velocity.

Q: Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-...

A: solution

Q: sin-cos-sin@ do? 2 2 What is the integrable form of (A) 1 du B 2 | cosu du © -S du D) sinu du

A: This is a integration problem

Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O ...

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we ...

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 cu...

A:

Q: b x" +xP + C. What is the value of the sum a d The general antiderivative of (3x2 – 4) 2x2 can be wr...

A:

Q: Which of the following integrals is equal to the integral/ f(3x- 5) dx? |

A: use integartion formula

Q: Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. O 21/2 square ...

A:

Q: cos-sin0 d0 has the form –-F(0). 2 2 The resulting integral of sin- +C. What should be the value of ...

A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

Q: Question dty of y = -10 sin (x) – 8 cos (x). Find %3D dx4 Provide your answer below. d FEEDBACK MORE...

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

Q: Find the area of the region bounded by the curve y=1- x? and the x-axis. 9. 8 square units 6 square ...

A:

Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: dx Evaluate Зх — 12 A) 0 + 00 C) 1 D 00 B.

A: Please see the answer below.

Q: Use the equation given below to find

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 c...

A: