Explain the process of chain rule.

Q: --1- What is A(2) ?

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Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

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Q: 30° 10 The height of a right triangle with base angle 30° and base 10 is

A: Given:

Q: 2. Let g(x) be given by the graph below. Find the average rate of change in g on the intervals: (a)…

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Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (0.95, 0.9), compare the values of Az and dz. dz R…

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Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

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Q: f(x)=2x2 + 5  domain: range: Thank You! :)

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Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

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Q: 5. The length of a curve from x = 1 to x = 4 is given by [√₁+1 (B) y = ln x the curve contains the…

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Q: Assume that the function G(x) is measured in zots and x is measured in toots. What units would G'(x)…

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Q: Let a = 3/2 + 34. (a) Compute a³ and write it in the form pa+q where p and q are integers. Use this…

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Q: 1 im f(x) = 4x +3 y=7 00 sx+4

A: To find the limit of the given function.

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: A sum of $900 at 8% interest compounded continuously will grow to V(t) = 900e0.08 dollars in t…

A: V(t)=900e0.08tdetdt=et

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

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Q: f(x)=9x², -2≤x≤2

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Q: x² + A X find the value of A. 3. Suppose that f(x) 1 8' If f'(2) = = where A is a constant.

A: f(x)=x2+Axf''(2)=18d(xn)dx=nxn-1

Q: Find the differential of the function w = = x² sin(y¹z³) dw dx+ P dy+

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Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A: Given: y=7x2+19x+2+3x

Q: b) f(x) = cos(x)

A: To find the derivative using the chain rule. fx=cos2x

Q: Let f(x) = 2x³ - 6x² - 18x + 1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Given query is to find the point s for indicated tangent condition.

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 90x - 0.025x2 -…

A: Question - The profit (in dollars) from the sale of x infant car seats is given by   P(x) = 90x -…

Q: the curve r(t)= lies on which of the following surfaces? A. z = y B. x = y^2 - z^2 C. x^2 = y^2 -…

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Q: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22º. How far…

A: Given: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22°.

Q: Using only the Laplace transform table (Figure 11.5) in the Glyn James textbook, obtain the Laplace…

A: We need to solve Laplace problem.

Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

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Q: Find the following limit for f(x) = 7 - 2x: lim h-0 a b с d 7 -2 0 does not exist - f(4 + h) = f(4)…

A: The given function is f(x)=7-2x We have to find the limh→0f(4+h)-f(4)h.

Q: ***************** ***************** A company can produce LCD digital alarm clocks at a cost of $7…

A: The company's cost function is Cx=7x+20. We have to find its average cost function and marginal…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A: By using the shell method to find the volume of the solid generated by revolving the shaded region…

Q: Find the first partial derivatives of the function. f(x, y, z) = x³yz² + 5yz =x(x, y, z) = = y(x, y,…

A: Given query is to find indicated partial derivatives.

Q: f(x, y) = e(x8 relative maximum relative minimum +y8)/8

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Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

Q: 1. Is the function g(x) continuous at x = 5? If so, why, if not, classify the discontinuity.…

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Q: 3. Evaluate the limits. Determine ±∞ when appropriate. Be sure to show intermediate steps. (a) lim…

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Q: Learning Target Ll: I can find the limit of a function at a point using numerical, graphical, and…

A: Given function:- fx=x2+5x-14x-2

Q: Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2=…

A: Given that , z1=3cis30° and z2=4cis-120° Convert to rectangular form. Then graph both complex…

Q: True/False: Please write functions that prove or disprove a), b), and c). x-3 a) A function of the…

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Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the degree of the…

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Evaluate the following integral e² dr.

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Here we have to find the limit.

Q: f(x) = 9 x ,X #0

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Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…

Q: Yes one last part please ? d/dx​(3v−5​u)=

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Q: Find lim h→0 (a + h)² − a² h O a O b Ос Od 0 does not exist a 2a

A: Given query is to find indicated derivative.

Q: Draw out using base-ten blocks to compute the following. a) 46 +38 b) 115-69

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Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y + 2z = 3 and 2x -y + 2z…

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Q: The magnitude R (on the Richter scale) of an earthquake of Intensity / is defined as R = log| log…

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