+C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting integral of sin

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

A:

Q: dx J V3 – 2x – x2

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:

Q: of dr? e-ex

A:

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

A:

Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

A:

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

A: topic-second derivative of a function

Q: cos2x – sin2x cos2x For -dx=÷F(x)+C. What is F(x)? cosx – sinx 3 A (sinx – cosx) ® (cscr – secx) 3 2...

A: topic - indefinite integral

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

A: To evaluate the integral.

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: The region is bounded by y=x2, y=9, x=0, x=3

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

A:

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p, q...

A:

Q: What is the range of the f (x, y, z) = a4 – 6xy? + 723? No answer Any real number greater than or eq...

A: Range

Q: d The general antiderivative of (3x2-4) 2x2 can be written as --x" + -x" + C. What is the value of t...

A:

Q: Question 20 f F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F(-1)? (A) -1 ...

A: Integration

Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost...

Q: 12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form...

A:

Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

A:

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: T(z, Y, 2) = 1500e 2y

A:

Q: If F(x) is an antiderivative of x² + x1, then what is the value of F(1) - F(-1)? (А) 3 В) о c) -1 D ...

A: We have to find derivative

Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

A:

Q: a The general antiderivative of ( 3x2– 4) 2x2 can be written as "+ xP. P +C. What is the value of th...

A:

Q: (a) e2tsin (wt +t/6)

A:

Q: 1 x² + 10x + 41

A:

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

A: Integration

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

A: Please refer to the image below

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

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: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

A:

Q: cosx - esinx The integral dr may be written as mensinx pr + ge+ C, where m, n, p, q, r, and C are co...

A:

Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

A:

Q: Use sigma notation to write the sum. 20 Σ j- 1

A:

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

A:

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

A:

Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D) -...

A: To find out F(1)-F(-1).

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

A: use integartion formula

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

A:

Q: Question 17 b --x" + -xP +C. a d The general antiderivative of (3x2–4) 2x² can be written as m p Wha...

A:

Q: 10 -dx may be written as Aln secB+ tanB"+C, where A, B, and Care constants not equal to zero. Evalua...

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: hich of the following integrals is equal to the integral / f(3x – 5) dx? s(2)dz 7/3 s(2) dz 2. 7/3 s...

A: Rewrite the integral.

Q: Find a general solution for y in terms of x that satisfies the first-order linear differential equat...

A:

Q: Let n be an integer and let a, b, x be real numbers. Evaluate | |cos(27n)|dx

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: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

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

Q: sinx COSX- e +e sinx +x The integral dx may be written as me"sinx + px + ge* + C. where m, n, p, q, ...

A: We have,

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

A: