Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval. x + 2x + 2 x<1 f(x) = on [-6,2] x21 3x +2 The area is (Type an integer or a simplified fraction.)

Q: Find the gradient of the function at the given point. w = x tan(y + z),    (17, 3, −1) ∇w(17, 3,…

A: Given  w = x tan(y + z) We have to find the gradient of the function ∇w(17, 3, −1).

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx? + y² + z? (2,…

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Q: Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

A: We have to find g'(x) using the general power rule.

Q: Question 1 What is f' (a) ? O The inverse function of f at a O The average rate of change of f at a…

A: Given problem:- what is f'(a) ?

Q: 2 1 88. Let f be the function defined by f(x) = x* -+-. 1 x. For how many values of x in the open 2…

A: Let's find.

Q: Graph the region bounded by r= 6cos3θ

A: We have to graph the region bounded by  r = 6 cos 3θ.

Q: If f(x) = 6 + 5x – 5a, find f'(- 3).

A: Topic = Derivative

Q: Find the derivative if the following and simply to its simplest fo a) y= (4t2 – 3t + 2)-2 (x+3)* b)…

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Q: 1 Let D= {x.y)|0sxs2,xsys1. integral x'e"dA= The x2exYdA = // x² sin(y)dA where R = [-1, 1] × [-2,…

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Q: Find the limit of the sequence an 14n+2 or 2+7n indicate that it is divergent. Select one: O…

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Q: b)Let f(x)=sinx. Calculate the arc length of the graph of f(x) over the interval [0,r]. Answer:

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Q: a)Find the arc length of f(x)= In(1+x³), Osx<5 Answer:

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A company invests $19,000 to produce a product that will sell for $56.85. Each unit costs $9.20 to…

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Q: The term a29 of the sequence {a,} given by 4 7 10 13 4'5' 6'7 is 91 33 Select one: O True O False

A: We have to find a29 term.

Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: Sketch the region R under the curve y = 4x – x² above the x-axis from x = 1 to æ = 5. Use the…

A: Given problem:- Sketch the region R under the curve y = 4x - x2 above the x-axis from x=1 t x=5 Use…

Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: sin 3at where a is any positive constant and s > a. t

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Q: Given a surface f(x,y) = -3x2 + (4)y2. Find the derivative in the direction of v = at the point (1,…

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Q: S |8:xydxdy y=-2 x=1

A: For the following problem,

Q: Consider the following planes. -2x + y + z = 2 10x – 5y + 2z = 4 (a) Find the angle between the two…

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: T 15 dx The integral is equal to

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Q: 2) Solve triangle ABC if a = 4,b=7,c 6. Round your answers to two decimal places.

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Q: Let A be an eigenvalue of the n x n matrix A. Define A? to be the n x n matrix A? = AA. Show that X?…

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Q: Here is a graph of the function g. Use the graph to find the following. If there is more than one…

A: We can answer both the question as below.

Q: Given the power series 2 (-1)" x" n = 0 Find the Integral of the Power Series. 00 A 2 (-1)" x" | dx…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A college student borrowed $44,000 to pay for tuition, room, and board. Some of the money was…

A: A college student borrowed $44,000 to pay for tuition, room , and board. Some of the money was…

Q: Let g(x) V1+ 8t dt. Use the Fundamental Theorem of Calculus to find g'(x). g'(z) =

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Q: 2t 3t – 1 Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 13 1 and 1-t…

A: To verify the product law for differentiation, AB'=A'B+AB' where, At=2t3t-1t31t and Bt=1-t1+t2t25t3.

Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos O where the tangent line…

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Q: Given the power series Σ (x+ 2)" n =0 2" Find the "Interval of Convergence" for the series.

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1,…

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Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: c)Test the series Ln =0 3n+1 for convergence or divergence.(write C or D) Answer:

A: This question can be solved by applying ratio test.

Q: (1+ a²). dy + xy = 0 dx

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Q: 1 00 7) Ln=2 (In n)" n%=2

A: Note: “Since you have asked multiple question, we will solve the first question for you. To get…

Q: Find two unit vectors orthogonal to a = (2, 5, 0) and b = (3,0, 5) Enter your answer so that the…

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Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: 2 sin 3at where a is any positive constant and s > a.

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Q: What are the first four terms of the sequence n+1 00 3n-1 n=1 Select one: 3 2 4 3 O None of the…

A: Given problem:-

Q: Given the power series En (n - 1) A, xla + 2) n =1 Use the technique that we covered in this lesson…

A: In this question we shift the index so that the exponent of the power series is simplified .  Note :…

Q: 8. According to the following table, what is the limit of this function as x approaches 0? -.001…

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Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Given the Power Series and its Radius of Convergence 00 2 A, (x - x)" with Radius of Convergence L n…

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Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: Find the point on the circle x2 + y2 = 1 that is closest to the point (1, 3/4) by using the method…

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Q: A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum…

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