3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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

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Q: 5. If F(x) is an antiderivative of x2 +x', then what is the value of F(1) - F(-1)? А. 3 В. О С. -1 D...

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Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: 2x 5х-3 + 3x 12 2. 4x2 – 16 > 0 (-0, 2], [2, c∞0)

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

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

Q: sin-cos-sino do? 2 2 What is the integrable form of

A: Given that,

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

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Q: dx = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1)

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Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

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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...

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Q: In (a le) (2- sec2x)m sec'x sec ( 3A – x) What should be the value of A for dr to be integrable usin...

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

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Q: 9. cosr - e sinxe sinx +x The integral dr may be written as me"sinx + px + qe™+C, where m, n, P, q, ...

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Q: cos2x – sin2x cos2x -F(x)+C•What is F(0)? For What is F(x)? cosx – sinx 3 (sinx – cosx)* 2 sinx + -c...

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Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 80,000 – 900p ...

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Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function

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

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Q: dx - = In[F(x)]+C• What is F(/3) if C = 0? For (x+x³) (x Tan-!x+1) +- 3 3 + 6. -is -is

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

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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 ...

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Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

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

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Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx - ...

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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Q: Given a production company is planning to increase its production. It is governed by an model equati...

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

A: topic - compound interest

Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: Let f(x)=4x^2lnx f'(e^3)=

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Q: (1) ydx + (x + 3y²)dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: ch of the following integrals is equal to the integral / f(3x-5) dx? ) dr? 7/3 ) dz

A: Please refer to the image below

Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

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Q: 7. Find all solutions to the equation sin r = –0.7 with -1 <I < 10. 8. Find the equation of one of t...

A: Topic:- derivatives and equation of line 

Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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

A: Given the antiderivative, to find the value of given expression.

Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: S 10* dx may be written as lsecRx 1 tanR*+ C where A, B, and C are constants not equal to zero. Eval...

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Q: 4 dx Evaluate Зх — 12 (A) 00 + 00 (C) о D) 1 B.

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Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3 ...

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: What are the radius and center of the circle that passes through the points (2,0), (18,0), and is ta...

A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

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

A: A detailed solution is given below