use the rules of differentiation to find an equation of the tangent line to the graph y=x^3+x at the point (-1,-2). write answer in slope-intercept form.

Q: dx 5. S xV16-9x2

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A: sinBsecBcotB  secB = 1/cosB  cotB = cosB/sinB  So now put all this value in given function  sinB(1/c...

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A: fx = lnxTo estimate : ln1.4  using Taylor's polynomial centered at a=1. To find the least degree of ...

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A: The given data is: The rate of growth of a plant is proportional to the difference between its heigh...

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

A: We can find the answer as below.

Q: Solve the differential equation (x² + 1)y/ – 2xy – 2.x = 0 using the method of first-order linear eq...

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Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x and parallel to ...

A: topic - equation of tangent line

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: (a) State if the following are True or False. You need not show any working. (i) f(t) = (t³)(t°) is ...

A:

Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1), (1...

A:

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 37 1. lim co...

A: Limits

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: 1. Given y= log 256. The value of y=

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Evaluate the following integral 2 πα 3 πα3 na3 3 πα 1 πα3

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Q: dy = (x + y + 1)? %3D dx dy

A: Topic:- differential equations  Note :- as per our guideline if more than one question uploaded than...

Q: (4.)Consider the function f continuous on [-1,1], such that f(0) = 0, and f'(z) = { 3x2 for -1 < x <...

A: Explanation of the answer is as follows

Q: f (x) = 2x² – x + 6

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Q: ACTIVITY 3: Think More! 1. Find the equations of the two tangent lines to f(x) = x2 that pass throug...

A: The given problem is solved below in detail.

Q: 2x – x3 dæ (x – 1) (æ² + 1)

A: The objective of the question is evaluate the indefinite integral.

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A: Given differential equation, y'=yx+(2x3y)cos(x2)⇒yy'-y2x=2x3cos(x2).....(i)

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A: Find the point on the line 5x+2y−2=0 which is closest to the point (0,0). here we can first find the...

Q: What is differentiation

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Q: How do I input the numbers?

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Q: Hint on Problems 4 and 5 below: The surface on the top of the region is z = 3y², and the surface on ...

A:

Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to...

A:

Q: For the function f(x) = 5x° – 7x + 13x+ 3, find f'"(x). Then find f"(0) and f"(3). Select the corect...

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Q: x² + 4x +4 x 1 -

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Q: Solve : 33+8 = 92+8 x = -8 x = 24 x = 0 x = -24 O x = 16

A: Consider  33x+8=92x+8

Q: Consider the following functions. f(-3) = 14 and g(-3) = -11 Step 4 of 4: Find |(-3). Answer How to ...

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Q: 16. Find the volume of the solid formed by revolving the region bounded by the following equations a...

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Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

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A: Graph

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A: This question is based on application of integration.

Q: State the characteristics. -2 esc 7(x- 190° ) + 5 こ a inc. period = H.S. = Y.S=

A: Find your answer below 

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A: NOTE: Refresh your page if you can't see any equations. .

Q: dy sec x.tan x dr

A: Please refer to the image below

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A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: f (x) = 2x2 – x + 6 -

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Q: A.) List all possible points of discontinuity. B.) Discuss continuity at the specified possible poin...

A: ------------------------------------------------------------------------------ For continuity at any...

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Q: Determine the equivalent when (8+8i) is raised to 1-i. Express your answer in a rectangular form in ...

A: We have to find 8+8i1-i=?   The magnitude of 8+8i is = r=82+82=128=82 The argument of 8+8i is = θ=ta...

Q: We say that the vector field F is conservative if and only if V × F = 0.

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Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da Optio...

A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,...

Q: 7. Cos? 3" cos n n=1

A: ∑n=1+∞cos2n3nBy comparison testcos2n3n≤13nSince ∑n=1+∞13nconverges by geometric test 

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

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A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given int...

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...