1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

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A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

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Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying th...

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A: This is a problem related to derivative of the function. Please follow the procedure given below.

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Q: 8

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A: Here we will find the magnitudes of both diagonals,

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Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

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A: Given that the area is bounded by x-22=4y+2 and y=-1.It is required to find volume generated by revo...

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A: We have to find average distance from origin of a point between the two given spheres. 

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)>0 Concave down if f"(x)<0

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A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

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A: answer is following-

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Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

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A: Given y = -2x + 5

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Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point ...

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

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A: limx→π2sinx

Q: 7. What is Vx3 – 7 i dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: To find out the unit normal vector to the surface at the given point.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and 2...

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line x=...

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Q: 2. Use the graph to answer the following. gof)(-2)

A: find find gof(-2)  from graph

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Q: x(xキャュ DISTRI BUTI VE PROP.

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Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x

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Q: 1. What is the answer?Show your complete solution and simplify your final answer without the use of ...

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