Express the sum x-x² + x³ + x¹+x5-x + x² + 8 +.... An in terms of geometric series (hint: group an, ¹-1, etc.). 00 Now express the sum as a rational function:

Q: If the figure below represents a sphere... (1,-2,5) *(1₁-2,3)

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Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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Q: xe²y dy = (4 + e²y)dx when x = 2, y = 1

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Q: Practice 1: Given S(x)=2x+3 a) (fog)(x) 4- x and b) The domain of fog g(x)= 6 x+1, find each of the…

A: given functions

Q: q³ + p Consider the function f(p,q,r) = r af r = ư³ v³ + w². Evaluate when u = 1, v = 3, and w = 4.…

A: Given function with

Q: find second derivative

A: given equation  to find the second derivative

Q: Question Graph the inverse of the provided graph on the accompanying set of axes. You must plot at…

A: To graph the inverse of the provided graph on the accompanying set of axes.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given

Q: 2. Consider the curve 8xy - x² - y2² - 15 = 0. (a) Find all points (x, y) on this curve where the…

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Q: The question is raised to 4 not 3/4.

A: the integral test is

Q: B. Determine if the given function is odd, even or neither. Write odd, even or neither. Function 1.…

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Q: 1. Given a particle with the position function r(t) =, a. find the velocity, speed, and acceleration…

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Q: If f(x) = 4x(sin x + cos x), find f'(x) = f'(4) = -12 sin (4) + 20 cos (4) 0

A: given function

Q: Let f(x) = 4x + 3 over the interval [1,4]. Find the surface area of the surface generated by…

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Q: On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation…

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Q: Find an equation for the hyperbola whose graph has vertices (0,±4) and goes through the point…

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Q: 30. An ant is at corner A of a shoebox that is 9 inches long. 5 inches wide, and 3 inches high. What…

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Q: An open box of maximum volume is to be made from a square piece of material, s = 30 inches on a…

A: An open box of maximum volume is to be made from a square piece of material, s = 30 inches on a…

Q: Problem 3 step by step. . Find the indefinite integral 5-x dr.

A: Given Indefinite Integral

Q: Please answer this question correctly used the parametric equation thx(vector integral) 1 a.) Find…

A: Given:a. The vector is: The aim of the problem is to find the curve of the vector.b. The function…

Q: Solve the following initial value problem. رق y(3) - 2y + y'= 8 + 4xe*; y(0) = y'(0) = 0, y''(0) = 1…

A: The given differential equation is; y(3), y(0)=y'(0)=0, y''(0)=1.

Q: If f(x) = f'(x) = f'(2) = 3 sin x 1 + cos x then

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t→ 0+.) tan (2) lim 3x tan( X→∞0 Step 1 You…

A: To find :-

Q: An athlete signs a contract that guarantees a $10-million salary 6 yr from now. Assuming that money…

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Q: Let f(x) = 4x² - 1. Calculate the arc length of the graph of f(x) over the interval [0, 4]. Round t…

A: The given function is The arc length of a curve y=f(x) over the interval  is

Q: Find the indicated partial derivatives. f(x, y) = 5xy⁹+ x5y6; fxxy(x, y) fyyy(x, y) = fxxyı fyyy

A: given function

Q: d all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 6. Graph the inverse and state whether or not the inverse is a functi f(x)

A: The given graph

Q: For the function f(x,y,z) = e 3y² find fx, fy, and f₂. 1 1₂ = (Type an exact answer, using radicals…

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Q: Suppose your demand function is given by D(q) =-q² - 2q +536, where q is thousands of units sold and…

A: Suppose your demand function is given by  where q isthousands of units sold and D(q) is dollars per…

Q: Find the limits lim x²-x² X-21

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Q: The cost, C, in dollars, of producing x frozen fruit yogurt bars can be modelled by the function…

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Q: For the above plot of the cone and c are positive integers between 1 and 6 inclusive. Use the mouse…

A: We have to find the values of a, b, c.

Q: 3-8 Find the limits. x³ - x² 3 3. lim x →-1 X-1

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: The gas tank of a parked pickup truck develops a leak. The amount, V, in litres, of gas remaining in…

A: We have given,   V = 60 ( 2 - t/5 )2    0≤ t ≤ 10

Q: Given the function f and the point Q, find all points Pon the graph of f such that the line tangent…

A: Given the function f and the point Q, to find all points P on the graph of f such that the line…

Q: 9x (16+ x) Find the first few coefficients. Suppose that S || C4 || || S || || n=0 Cnx" Find the…

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Q: The partial fraction decomposition of x² + 23 x³+4x² can be written in the form of f(x) I + g(x)…

A: Partial fraction decomposition of x2+23x3+4x2

Q: Consider the piecewise defined function shown below. Assume m is a constant and m # 0. Note: Use…

A: Consider the picewise defined function shown below. Assume  is a constant and .(a) To find  for each…

Q: 2²fa²f + The two-dimensional Laplace equation = 0 describes the potentials and steady-state…

A: Given: To Find: To show that the function satisfies the two-dimensional Laplace equation.

Q: Find x² + 5y²-5 lim 2 (x,y) →(5,2) x² + y² +3 x² + 5y² - 5 lim (x,y) →(5,2) x² + y² +3 2 (Type an…

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Q: Mr. Wutz owns a hot dog business named 'Wutz upDogs.' The daily profit function, in dollars, when x…

A: given function

Q: Find the second derivative of y, where y = t² sint.

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Q: Find dx by implicit differentiation. xe = x - y

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Q: A manufacturer can produce 3780 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Give a power series representation for the derivative of the following function. 5.r g(x)= 1-3 7¹

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Q: Find fx. fy.f₂. = 2 f(x,y,z) = 4x - √√√y² + z² (Type an exact answer, using radicals as needed.)

A: The given function is We have to find

Q: The definite integral that represents the shaded area for the function y = f(x) is fo f(x) fő dx…

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