Find the limit as x approaches c of the average rate of change of the following function from c to x. c= 3; f(x) = x? Ay lim Ax X-3

Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: 16. Given: [ S(x)dx=10; s(=)d& x = ? (x)dx= 3;

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Q: 2. Evaluate the following definite integral. You can assume the function is defined b the limits of…

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Q: Let F(x) = f(æ*) and G(x) = (f(x))*. You also know that a' = 3, f(a) = 2, f'(a) = 8, ƒ'(a*) Then…

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Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 17) E Wik…

A: Solved below

Q: 5. IF sin@=5 =E and@inthe first quadrant, find cos

A: We have to find the cos angle

Q: For the following function f(x), find f(0) and f(2). if xs0 x2 f(x) = if 0 <x<2 x+3 if 2sxs4 4-x…

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Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: Let's find.

Q: If f(x) = 4,/¤In(x), find f'(æ). %3D Find f'(2). Submit Question

A: Given

Q: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O…

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Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: FOLLOW

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution and Answer

A: Given : 2x3=(3xy+1)2   To Find : Implicit derivative

Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 11 cos(t)i+ 9 sin(t)j +…

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Q: Graph the feasibie region for the system of ineualities y-3 y-3x+5 Use the graphing tool on the…

A: The solution to this question has been provided both on graphing tool desmos on on sheet of paper…

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

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Q: Find the length of the curve 7(t) = (4t, In(t), 4t²) for 1 <t< 4 Add Work Submit Question

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Q: Find the right-hand Riemann Sum, with three sub-intervals indicated by the table. Hours 7. 8.…

A: We have to find the right hand Reimann Sum.

Q: Match each 0 with its corresponding quadrant location. -5 , cos O is negative 1 tan 0= Quadrant IV…

A: To match each θ with its corresponding quadrant location.1 tan θ=-512, cos θ is negative.2 cos…

Q: 2.)S csc-³«(cosa)³da

A: Given ∫csc-3 α (cosα)3dαTo evaluate the integral:

Q: Differentiate y = -e24x + In(3x – 5). A. 72e24x – 120e24x + 3 y' %D Зх — 5 В. -72e24x + 120e24x + 3…

A: Given query is to find the derivative.

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

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Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: Step 3 Apply the Fundamental Theorem of Calculus, which states that f(x) dx = F(b) - Fa). Use this…

A: We can complete step 4 by the cross multiplication method.

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

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

Q: y= md y=x+2 ... and Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: If f(x) dr = 6 ,what is the value of f(5 – 1) dr

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Q: sove the fowowing, using Lagrange Multipiiers: Maximize flR, Y. 2) solaject to x2 + Ax + a4 t 2 + 2…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

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Q: 2² – 2, a 3 is continuous everywhere. f(z) = O true O false

A: Given: fx=x2-2,  x≤3x+4,  x&gt;3   As we know that; The function will be continuous at x=a when,…

Q: Suppose the table below gives the velocity of a moving object at any time t. Note that 7 IS measured…

A: We have to find the distance and graph of v(t).

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

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Q: etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at…

A: Topic:- function

Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

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Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

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Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

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