Find the Rolle's theorem For the Following function and iFit is truerfindthe Value oF C

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Q: XP -2X

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Q: y = x² + 1 y = 2r- 2

A: Here, from the given figure, the area bounded by the given curves are: A=∫-12∫2x-2x2+1dy dx

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Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

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Q: The limit lim (x c 1 X• COS is an indeterminate form of type 0· o. Select one: True O False

A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: Suppose that f(x, y) 2æ + 4y on the domain D = {(x, y) |1< x < 2, x² < y < 4}. D Then the double…

A: Given problem:-

Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: Q4: Solve the following exact differential equation: 2xydx + (1 + x2)dy = 0

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Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: Evaluate the integral: Si (1+ 3 dx x2 Express your answer in decimal. Round off to 2 decimal places.

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Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Name: Tu3pg07 Exponential Transformations Practice: For each exponential function list the yalues of…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

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Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: The two paraboloids z = x2 + y? – 1 and z =1 – x2 - y? meet in xy-plane along the circle x2 + y = 1.…

A: Topic: Representation of volume as triple integral

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

Q: x^2 dx V1+x^3

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: 6) By implicit differentiation find a) xy + y´ = 2 find d´y/ dx² b) sin(x²y²)= x _find dy/dx

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

A: In this question, we want to calculate the area of the region under the given curve y between x=-1…

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x&lt;-1                                =…

Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0

Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: by the ea vation 2xy +X=Y". XP |3D

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Q: lim -- Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: lim --) x→0+ \x ex-1, 1 lim…

A: The given limits can be calculated using L-Hospital's rule if they come in indeterminate form.

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: z(0) - 2, y(0) 8.

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: The value of the triple integral /I| 2x dV where E is the region E inside both x2 + y + z? = 36 and…

A: See the solution in below

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: Solve the system. If the system has infinitely many solutions, write the solution set with x…

A: To find the solution set of the given system of equations.