Consider the following. 0 10 20 30 Q(t) 100 104 108.16 112.49 Is the function exponential? Yes O No If the function is exponential, find the equation of the function. (If an answer does not exist, enter DNE.) Q(t) = Use the equation to predict the next entry to extend the table of values. (If an answer does not exist, enter DNE.) 40 0 X 10 30 20 100 104 108.16 y 112.49 Enter a number

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

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Q: Determine the center of mass for the region bounded by the following. Answer as a fraction…

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Q: Sx". .n-1 + n[x²- x" sin x dx = -x cos x + n cos x dx

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Q: Evaluate the following integral. Assume a and b are real numbers and n is an integer. Sx(ax + b) dx;…

A: By considering u=ax+b we can integrate it.

Q: Question 7 Determine the area of the triangle bounded by the coordinate axes and the tangent to x² -…

A: This is a problem related to area calculation by integration. Based on the general formula and…

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…

Q: 7) Find the absolute maximum and absolute minimum values of f(x, y) = 4x+6y - x² - y² on the set of…

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Q: Consider the following sequence defined by a recurrence relation. Use a calculator, analytical…

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Q: ow ow Ow For the functions w = xy + yz + xz, x=u+3v, y=u-3v, and zuv, express and using the chain…

A: This is a problem related to partial differentiation. Based on the chain rule we will provide the…

Q: Directions: apply the limit theorem 3 1. lim x-24 2. lim-45 x-2 62 3. lim x 2 3 4. lim x x-2 5. lim…

A: Please refer to the image below

Q: The graph of the equation x2/3 +y2/3=52/3 is one of a family of curves called astroids because of…

A: solution:-equation of curveastroid x2/3+y2/3=52/3the length of half the first-quadrant portion…

Q: Let f(x) = x5. Use logarithmic differentiation to determine the derivative. f’(2) = = ƒʼ(1) =

A: First we take take logarithm on both sides of the given equation and differentiate both sides with…

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

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Q: For each graph below, state whether it represents a function. Graph 1 y Function? Function? 4. Yes •…

A: Let's find given graph represent a function or not.

Q: The Audubon Society at Enormous State University (ESU) is planning its annuel fund-raising…

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We need to find critical point and graph.

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: find the derivative of the funtions: 1. sin (√x Inx) 2. (d2/dx2)(xArctanx)

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Q: c) (fog)(x). Simplify the function. d) The domain of (fog)(x). e) Evaluate and simplify f(x)-h(x).

A: Given query is to find the domain of indicated composite function.

Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: dw dw For the functions w= - 4x² - 2y2, x= cost, and y= sint, express as a function of t, both by…

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Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: 1. Find the third-degree polynomial P such that two of the zeros are 4 and 1 + i and such that P (2)…

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Q: Find fx. fy, f₂. 2 2 f(x,y,z) = 3x -√√4y +z² fx= 3 (Type an exact answer, using radicals as needed.)…

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Q: ude 5. Find the area of the triangle created by the

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Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

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Q: Suppose that the function g is defined on the interval (-2, 2] as follows. 1 if-2<x<-1 0 if - 1<x<0…

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Q: Evaluate the definite integral. (7x² - 6x +9) dx 0

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Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis.…

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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: Find the length of the arc formed by ² = 10y³ from point A to point B, where A = (0,0) and B = (100,…

A: We can find the length of arc by applying length of arc formula.

Q: A forest has a population of lynx and a population of rabbits. Let x represent the number of lynx…

A: Let's solve given diffrential equation.

Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: The time required for an elevator to lift a weight varies directly with the weight and the distance…

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Q: Solve the system of differential equations. X1' = 3x₁1 - 1x2 X2': = 1x₁ + 5x2 - 11, x₂(0) = 7 x₁ (0)…

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Q: A lamina occupies the part of the disk æ² + y² ≤ 1 in the first quadrant and the density at each…

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Q: derive or obtain L{t^n} then use result to obtain the L{-4t²+16t+9}

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

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Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: Evaluate the definite integral. 16 (10y√y +9√y) dy 16 jo (10y√y +9√y) dy = (Simplify your answer.) 4

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Q: dx √x²-4x+13 S.

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Q: Solve the following equations: (D³ + 3D² + 3D + 2)y = 0

A: We can solve this as follows:

Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.

A: a) y=-x-4-2b) y=-2x-4

Q: -0.05t Water is drained from a swimming pool at a rate given by R(t) = 20 e gal/hr. If the drain is…

A: We need to set up integral and evaluate it.

Q: To shear a cube-shaped object, forces of equal magnitude and opposite directions might be applied: O…

A: Since, it is given that forces are of equal magnitude but opposite directions and we have to shear a…

Q: dt t²-t+2 Find the integral of S-

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