If a > 0 and E 4, is convergente then Eola)" is also convergente Select one: O True OFalse if a, is divergente then (a,) is also divergente, Select one OTrue OFalse

Q: Find the slope of the graph of the function at the glven polnt. Use the derivative feature of a…

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Q: Find the AREA of the region enclosed by r =2+2 sin 0. A. 27 В. 4т С. 6т D. 8T

A: Here we have to find the area of the region enclosed by r = 2+2 sin(theta) .

Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

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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-y2 1+x2 اوجد الحل العام ل لمعادلة التفاضلية

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Q: DATE: Consider flu) = gw)ha). Use implicit diona Find f" L). %3D

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Q: Hu Tao has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: 9. Which phrase best describes a function which has the following table when it's graphed. |-2 -1 -1…

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Q: EXERCISES 2: Find all the local maxima, local minima, and saddle points of the functions 1. f(x, y)…

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: Test the series below for convergence using the Ratio Test. n° 1.3" n=1 The limit of the ratio test…

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Q: We say f : R –→ R is even if f(-x) = f(x) for all x. We say f is odd if f(-x) = -f(x) for all x. (a)…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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Q: Find the tangent line for the level curve f(x,y) = 9x3y at the point (2,-8). a. -864x + 72y = -2304…

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Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3

Q: Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point…

A: f(x,y,z)=3x3+cos(2y)+ln(2z)-c=0Fx=9x2 , Fy=-sin(2y) , Fz=12z×2=1z∇F =<Fx,Fy,Fz >=<9x2,…

Q: Graph the region bounded by r= 6cos3θ

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

Q: To find f(x), let y = (x) and solve for x, y x - 4 Interchange x and y In the expression for X, Find…

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Q: 2x2 y = Зх — 1

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Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* - x has a critical number…

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Q: 2. Find the first and second derivatives of the following functions a) y = 6) y = e", c) y = In (sin…

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Q: Given the power series 2 (-1)" x" n = 0 Find the Derivative of the Power Series. x (n + 1) d A 2…

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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: f(x) = (x – 2)² 2. %3D

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Q: T 15 dx The integral is equal to

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Q: Use this result to either evaluate the improper integral +oo 5xe dr or show that it diverges.

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Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show the…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Given the power series 2 A x2n Σ n = 0 Find the Derivative of the Power Series. (2n + 1) ΣΑ 00 d 00…

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Q: QUESTION 1 A student has received the following marks Test No 1 Test No. 2 57 9% Test No. 3 Test No…

A: Explained below

Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

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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: a) Determine if the geometric series below is convergent or not. Σ 10"-1 n =1 3n +1 The series is…

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

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Q: Use the Root Test to determine If the following series converges absolutely or diverges. Σ ne1 (3n +…

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Q: Illustrate the graph: A Y X 4. Prove whether the function f(x) = Vx – 2 is continuous interval [2,…

A: Given: f(x)=x-2 on interval [2,4]

Q: dx 6. S e2x+1

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Q: Sketch the region of integration for the integral (x+3y) dA, where R is the region in the first…

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Q: The demand function for a product is given below. p = 40 − 4x, 0 < x < 10 (a) Find the price…

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Q: Determine whether the series 2 (n + 1)/n converges or diverges. n= 1

A: Explanation of the answer is as follows

Q: 1. Find the antiderivative of sin '(2.r)d.r.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: d 4) (1+ x)* = (Logarithmic differentiation) dx

A: We have to find the differentiation.

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. ye* dx…

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Q: 7 n2+ 3 n+ 2 lim 7 9 n2+ 2 18 n- 00 Select one: O True O False

A: limn→∞7n2+3n+29n2+2

Q: f(x) = e2x

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Q: Suppose f is a quadratic function that has roots at x=−4 and x=8, and f(0)=16 We will write a…

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Q: 10 Below is the graph of y = f(x). Find | f(x)dx. Round your answer to three decimal places. 5 10

A: Given:      ∫210fx dx   = Area under the curve between x=2 and x=10