Find a point c satisfying the conclusion of the MVT for the following function and interval: f(x) = x,[1,2] (Use decimal notation. Give your answer to three decimal places.) C=

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A: Given, The base of a certain solid is an elliptical region with the equation 9x2+16y2=144 Cross…

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A: To solve the following problem and find the correct options: f(x)=ln(x)x4.

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A: As we know that Area of sphere( A ) = 4πr2Volume of sphere( V ) = 43πr3

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A: We  will find the required.

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: To find the number of critical points of given function.

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A: Given that the price demand equation is x=fp=4800-4p2. a) It is required to determine whether the…

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A: see below the answer and calculation Note: As per Bertleby Guideline i have to solve only first…

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Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

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A: Given graph of derivative of function

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Q: The table below shows the value, V, of an investment (in dollars) after n years. n 3 7 12 14 19 0…

A: Solution: By using exponential regression graph plotter

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A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

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A: We can draw the given function by using the vertical and horizontal asymptote and two points on the…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: Consider the region R bounded by y=1-x² x = 0 and y=0 [This region is used to answer questions a -…

A: Given curve, y=(1-x2) and x=0 , y=0 The region R is by the curves,  y=(1-x2) , x=0 , y=0

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Q: 7. Let E be the ball of radius 1 centered at the point (0, 0, -1). (a) Show that E is given in…

A: The solution is shown below-

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Q: Solve the given differential equation. 9ydx − 9xdy + x°dx = 8dx The solution is (Type an equation.)

A: 9ydx-9xdy+x2dx=8dxwe know  d dx(yx)=xdy-ydxx2∫xndx=xn+1n+1+c

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6-…

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Q: . lim) y 플 wen) we y cos ㅍ 품 y-ㅍ

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis y 6…

A: see below the answer and calculation

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Q: The equation implicitly defines as a function of t. Find dat dx || t² z2 -sin (9 x) = -4

A: The given equation is -t2x2-sin(9x)=-4 To find the dxdt.

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A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

Q: 3. Identify the graph of f(x,y)=x²-x+3y² +12y-13, state where it attains its minimum value, and find…

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Q: If z = x2- xy+ 3y2 and (x, y) changes from (3, -1) to (2.96, -0.95), compare the values of delta z…

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Q: Consider the following graph of the second derivative, f (x), for some function f(x): f"(x) -6 -4 -2…

A: Here, we know that  if f"(x) &gt; 0 ⇒f"(x) concave up if f"(x) &lt; 0 ⇒f"(x) concave down Also, if…

Q: Show whether or not the following limit exists; if it does exist, find its value. 2x³y4 x6 +2y8 lim…

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Q: Find the mass and the center of mass of the triangle with vertices (0, 0), (0, 3) and (2,0) assuming…

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