f (x) = X+10 x²+3

Q: Question 5 > Find the value V of the Riemann sum V = > f(ck)A¤k k=1 for the function f(x) = x² – 2…

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Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: 2 32 |for 1st<3. length of the curve c(t) =| In t,-t"

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Q: 3. Sketch the graphs of y = 4e -x, x = 4, x-axis and y-axis. Shade the region bounded by the curves.…

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Q: 5. Consider the power series E (x-1)" n=1 n3m 6.1. What is its center? 6.2. Find its interval of…

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Q: (a) Let L and L'be two lines in R3 L: L': = Y=2 = 2=5. Determine if the lines intersect at a point.…

A: We need to choose correct option.

Q: Find the particular solution determined by the initial condition. -17t +7t-6, s(0)3D86 dt The…

A: Solve the following

Q: G(x) = tant dt Find G(1) = Find G' () =

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Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can 2632 be…

A: see below the answer and calculation

Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

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Q: 4. Find the divergence and curl of the following vector function: F(x,y, z) = ( arctan(ry),…

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Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: Maximize area

Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

Q: x1 x2 x3 x4 x5 x6

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Q: f(x) dx – f(x) dx = f(x) dx a = and b =

A: Given query is to find the value of a and b.

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…

Q: Question 11 > A 25-year-old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric…

A: Calories decrease = calories intake -burned calories

Q: 33 3.

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Q: 0 (x-2)k 2k=1 Vk 00

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Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal…

A: We need to solve plane problem.

Q: Use l'Hospital's Rule to calculate the exact value of the limit ) as x→ 0- Az) fX) = e -1 and g(x) =…

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Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

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Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: Compute the value of the improper integral. (If the integral diverges to oo, type oo; if the…

A: Solving

Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

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Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: Select a scatter plot of the given data. 4% 6% 8% 10% 12% 14% t 28.01 18.85 14.27 11.53 9.69 8.38 90…

A: topic - exponential decay function

Q: 5x - 4 dx x3 + 4x2

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Q: Graph the function. f(x) = 3*

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Q: Determine whether E1(-1)" sin n3 is absolute convergent, conditionally convergent, or %=D1…

A: We have to find the series test

Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Find the area of the region between the following curves by integrating with respect to y. If…

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Q: 9. f(x) = (x² + 3x + 1)100 %3D

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Q: Fundamental Theorem: 2z Let f(x) = | Vcos t + t° dt . Find the value of f'(x). %3D 1

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Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: (a) dz (2z4 + 1)3

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Q: For the given cost function C(x) 22500 + 600x + x², First, find the average cost function. Use it to…

A: For the given cost function Cx=22500+600x+x2, First, to find the average cost function. Then by…

Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

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Q: The graph below is the function f(x) 5+ 4 3 -5 -4 -3 -2 -2 -4 -5+ Find the following. If no value…

A: Given problem :-

Q: 11. Rules of Definite Integrals: If f(x)dx = 12, S." f(x)dx = 6, and "f(x)dx = 4, find the…

A: Given that: ∫05f(x) dx=12∫512f(x) dx=6∫812f(x) dx=4

Q: O Find dyldx if y = x In(x).

A: Given query is to find the value of the derivative.