WRITE THE SUMS WITHOUT SIGMA NOTATION. THEN EVALUATE THEM EG+ 20) k=1

Q: r = 3 - 4sine

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Q: Find the production level at which the marginal cost function starts to increase. C(q) = 0.0008q3 –…

A: We want to find when the marginal cost of the function start to increase.

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: a²f If f(x, y) = re su, then is given by: 1 %3D 6(6x–8y)' - 16 (6z-8y)3 12 (6z–8y)³ None of these 16…

A: We will find the partial derivative.

Q: | |x| +1, x 0 (If) f(x) = {0, For what value of a, does lim f(x) exists. x -> a

A: The given function,       fx=x+1,x<00,x=0x-1,x>0

Q: 10 2m | (100x – x³) dæ 16 V = = 27 blank – 104 = 27 (blank – = 27 (blank – 2500) =blank therefore…

A: Basic identity of integration is used

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

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Q: Let P = f(t) = 600(1.04)' be the population of a community in a year t. If the percentage growth…

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Q: 9. Given z=x siny + 2x*y- cos(xy), calculate or z yr C) cosy+4x +x cos(xy) + ysin(xy) D) cosy+4x +…

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Q: nt) A spherical balloon is inflated so that its volume is increasing at the rate of 3.3 ft/min. How…

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Q: Assume a, b and c are real numbers greater than 1. Find p, q and r so that the following equality…

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Q: An instructor wants to create a test that has true-false questions, multiple-choice questions, and…

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Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: ex/Eveiluete the fallowing integrels

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Q: 10. Find the first partial derivatives of the following functions (it is not simplify). (a) f(x,y) =…

A: Given query is to find the partial derivative if the expression.

Q: In the year 2000, the population of a small city was 48,000. The population grows at a rate of r(t)…

A: Follow the procedure given below.

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x^2 from x = 0 to…

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Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the velocity after 5 second.

Q: The marginal cost for a company to produce g items is given by MC(g) = 0.004g? - 0.7g + 650, The…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: In practical applications the Richter magnitude depends on local geological factors and the average…

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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 integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: Given that the integrand of the definite integral is a difference of two functions. Here we have to…

Q: Solve the right triangle. Round your answers to the nearest tenth. A = 0- D. 56 22 A

A: Given, Right triangle  theta=56° adjacent =a opposite =b hypotenuse = 22

Q: 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy…

A: Given Richter magnitude R(A)=logA2.5+4.25  where A is the amplitude of the energy waves

Q: CS

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Q: 5. cylinder filled with water has a 3.0-foot radius and 10-foot height. It is drained such that the…

A: We have to find the rate at which water is draining from the cylinder.

Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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Q: Given AMs Xé find aM ady

A: partial derivative

Q: If f(x, y) = In(x – 2xy) then fyx (7,7) = 0. Select one: O True O False

A: We can answer the question as below.

Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

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Q: | (6x – 3* dx = / (бх f(u) du where u = (enter a function of x) dx (enter a function of x) = np a =…

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Q: Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros.…

A: Given query is to find the 5th zero.

Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

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Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: f a company's cost function for a product is C(q) = 2290 + 3.8q + 0.004q2 %3D and the revenue…

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Q: home. velocity (milės per hour) t hours after noon is given by v(t) = - 5t" + 42t - 150t + 190t. At…

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Q: In practical applications the Richter magnitude depends on local geological factors and the average…

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Q: The design department of a shipping company is constructing a box in the fo of a rectangular prism.…

A: Given problem:- The design department of a shipping company is constructing a box in the fo of a…

Q: F(x, y) = (4ry³ + 3)i+ (6x²y² + 2e²w)j is conservative by finding a potential function f for F, and…

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Q: 7.5 Identify the marked points as being an absolute maximum or minimum, a relative maximum or…

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Q: 3- 2- 6 -5 -3 /-2 -2- 1.

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Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

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Q: Use the Log Rule to find the indefinite integral. (Remember to use absolute values where…

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Q: A normal vector to the tangent plane for the at the point (1, 1, 1) is: y surface x =

A: A(1, 1, 1)z= xyf(x,y,z) =xy-zfx=yfy=xfz=-1Normal vector to the tangent plane for the surface;n^…

Q: Use the Fundamental Theorem of Calculus to find the derivative of y = Cost -dt t12 dy dz

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Q: ( sinxcos(2x)dx

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Q: 2. Let g (x, y) = 2a² – y². Compute g (1, 2), g (2, 1), g (1, 1), g(–1, 1), and g (2, –1).

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