Find the sum of the series: n=0 2-1 (-1)"64"- n!

Q: 7. Show that the equation f(x, y) = sin(x + y) + cos(x - y) satisfy the wave equation 0²1 a³f dx²…

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Q: Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition, and…

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Q: 3 Find a cubic function Y= ax²³²+ bx tcx td whose graph has horizontal tangents at the points (-2.4)…

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Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: d²x x². - 5y = x + 1 is non-homogeneous second order differential equations with constant…

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Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: x(t) Find a plane containing the point (-4,3,-8) and the line y(t) z(t) = 8 - 3t 7 + 4t -8+ t

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Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: We need to find height.

Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

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Q: Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147). Use the general…

A: Given problem:- Give a possible formula for the function below. Let A = (1, 21) and B = (2, 147).…

Q: Find the sum of the series: n=0 x7n-6 n!

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Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

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Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: A company can produce a mini optical computer mouse at a cost of $7.50 each while fixed costs are…

A: A To find; The average cost function. Given information; The company cost function is Cx=7.5x+80.…

Q: If 7 (² then f(x)dx = 7 and is equal to Select one: O 5 O -5 O-2 2 7 [²50 none of the others 5…

A: Topic = Integration

Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x>0

Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: Evaluate the definite integral. 2 cot-¹(x) 1 + x² 1 - 1 dx

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Q: y = f(x) = 8x² - 4x + 5 (a) Find the differential of f. dy = (b) Use your result from part (a) to…

A: Follow the procedure given below.

Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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Q: Evaluate € 11/² 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 ≤z<x+3y}

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Q: (a) [1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

A: This question is related to Limits, we will solve it using given information.

Q: S cos 2x dx COSX

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Q: Write the given expression as an algebraic expression in x. cos(2 cos-¹(x))

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Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

Q: Evaluate the following integral. 22x² S= x4-61x² +900 Find the partial fraction decomposition of the…

A: An indefinite integral is provided. We have to evaluate it by using the partial fraction…

Q: The national debt of a South American country t years from now is predicted to be D(t) = 70 + 18t4/3…

A: Given that the national debt of a South American country t years from now is predicted to be…

Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A: To find the value of a and b and then the value of linear model.

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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

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Q: Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

A: Solution of given question is written in below steps.

Q: Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice.…

A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2&lt;x≤356x-2, x&gt;3To find :w so that fx is continuous at…

Q: Q6: Find A-1 where A [1 -1 3 6 12 1 0 -2 4

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Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

Q: Solve 2 sin² (t) + sin(t) - 1 = 0 for all solutions 0 < t < 2π t = Give your answers as a list…

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Q: determine the interval of increase (in interval notation) b) determine interval of decrease

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Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

A: We can find the answer as below.