For what values of p is each series convergent? n = 1 (-1)^-1 np +2

Q: Two lines are parallel. One goes through the origin and has a slope of -3. The second line goes…

A: First line passes though origin and has a slope -3.Second line passes through the point (4,-5)

Q: needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) any operation is undefined…

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Q: Find the maximum and minimum of the function f(x,y)=x+y=x² - y² on the circle x² + y² = 1.

A: Given that the function:-

Q: 12. Estimating the Age of a Fossil A fossilized leaf contains 70% of its normal amount of carbon-14.…

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Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Consider the series. -7/12 +49/144 - 343/1728 +2401/20736 + ... Determine whether the series…

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Q: Consider the function f(x) = 5x² + 6x - 18 Find the instantaneous rate of change of the function at…

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Q: Find the directional derivative of f(x, y) = sin(a + 2y) at the point (1, 1) in the direction 8 =…

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Q: I ||

A: Given the picture of the trianglewe have to find the value of x

Q: What values of a makes f(x)= x^2 + (a/x) have  a) a local maximum at x=2 b) a point of inflection…

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Q: Evaluate the limit. 3t2t t lim t-0 log 3 -log 2 X

A: Limt-0-2t)/t

Q: fx csc x² c X CSC csc x² cot x² dx

A: +C

Q: (c) Two sides of a triangle have length 3 m and 1m. The angle be- tween them is decreasing at the…

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Q: If we have to y = C₁e* + c₂xe* is the general solution of the homogeneous differential equation…

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Q: Given: (x is number of items) Demand function: d(x) = 588.7 — 0.2x² Supply function: s(x) = 0.5x²…

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Q: Find e if a 2.7 mi, b= 3.6 mi and ZC = 41.5 degrees. mi; C=

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Q: Find the area (in cm2) of the largest rectangle that can be inscribed in a right triangle with legs…

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Q: True or false: If f is a differentiable function, then [ƒ(√)] = d dx f'(x) 2√x

A: To determine whether the following statement is true or false.If  is a differentiable function, then…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = (y² + 2)³/2,…

A: The area of the surface of revolution of  rotated about the x-axis on  is:

Q: Problem Given that the graph of f(x) passes through the point (0, -3) and that the slope of its…

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Q: Obtain general solution. 1) y''-y=ex-4

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Q: Which of the functions below are one-to-one? Assume that you are considering the domain of each…

A: Find the one-to-one function and domain of the given functions

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: Let f(x) = x³ - 2x² - 5x + 6. If x = 1 is a zero of f(x), use the Factor Theorem and synthetic…

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Q: 1. The value of a parcel of land bought for speculation is increasing according to the formula V=2…

A: The value of a parcel of land bought for speculation is increasing according to the formula V =…

Q: A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a…

A: The objective of this question is to find out what percent of the original amount of water…

Q: x3 - Graph the polynomial P(x) = x³ + x² = 5x + 3 using calculus by showing the given steps: (d)…

A: Given the polynomial  Then we have to graph the polynomial by using the steps given in (d) and (e).

Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: Relative rate of change of f(x) can be expressed as the slope (or first derivative) f'(x) of a…

Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C…

A: We have to use the green's theorem

Q: Evaluate the integral 4 (4x +2) In (4x+2) dx.

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Q: Verify Green's Theorem by evaluating both integrals an √ 7² dx + x² dy = √ √ √ (²x- ax for the given…

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Q: The graph of f(x) is shown (see figure). 6x x² + 1 f(x) (a) Find the following limits. lim f(x)= x →…

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Q: Graph the function: f(x)=(x-3)² 4-X if x4

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: What is the rule for the linear function described below? The linear function represented by a line…

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Q: Question A particle moves along a line with a velocity v(t) −3t² + 3t +4, measured in meters per…

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Q: (7) Find the local linear approximation of f(x) = √2+3 at ro = - and use it to estimate the value of…

A: f(x)=1/sqrt(2x+3), x0=-1

Q: Suppose f(x,y)= (-y) (25-ay). Answer the following. Each answer should be a list of points (a, b, c)…

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Q: what is the domain of tan(x-(pi/4))

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Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Consider the function

Q: Click on the graph to view a larger graph Find the indicated anglez of the triangle ABC given in the…

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Q: A 6 m ladder leans against a wall. The bottom of the ladder is 1.7 m from the wall at time t=0 sec…

A: Given- length of ladder=6m, the bottom of ladder is 1.7 m from the wall at time t=0 and the height…

Q: Find all critical points of the following function. 3 3 ((x,y) = x² - +2 X 3 3 + 2xy What are the…

A: Consider the function

Q: MARGINAL REVENUE: Gardenscapes finds that its monthly revenue, in dollars, from the sale of x carved…

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Q: y 2- -2- On the graph above, when x== y = 2; and when 2' x = 1, y =1. The graph is symmetric with…

A: The question is asking us to find the value of y when x = 3 on a graph that is symmetric with…

Q: ²6² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify…

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Q: Integrate the following using trigonometric substitution. Also draw the reference triangle for each…

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