1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of numbers?

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: r- 24. y" +9y = 0; y(0) 25. y"-2y' + 2y = 0; 26. y" - 2y' + y = 0; 27. y"" - 4y" + 7y' - 6y=0; = 1,…

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Q: Find the solution r(t) of the differential equation with the given initial condition: r(t) = (100)…

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Q: Find the surface area of the torus generated by revolving the circle given by r = 2a about the line…

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Q: In Problems 1-10, determine all the singular points of the given differential equation. 1.…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. (cot…

A: Solve the following

Q: A ball is thrown into the air and it's position is given h(t)=-4.9t + 60t + 5cm. Find the hight at…

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Q: ether the following series converges or diverges. In the case of convergence, state whether the…

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Q: -3 Evaluate the integral ſ² ſ² ſ²₁ xz(y + 1)dxdydz

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Q: For the function f(x) = 2x² +1, it is given that 6.². ſª f(x) dx = At what value c does the function…

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Q: M8 K-0 3 900+3k

A: Given, ∑k=0∞3900+3k

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Topic = Coordinate geometry

Q: Suppose that the graph below is the graph of f '(x), the derivative of f(x). Find the open intervals…

A: To find the inflection point.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: To find the component form of v given its magnitude and the angle it makes with the positive…

Q: Use the following information to complete parts a. and b. below. Ιπ f(x) = sin x a == 6 a. Find the…

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Q: Rewrite the expression as a single logarithm. In 8-In 4 ○ In√2 ○ In (2)-6 咖啡 °)

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Q: Find an equation of the line that passes through the point and has the indicated slope. Point slope…

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Q: Determine the remaining sides and angles of the triangle ABC. What is the measure of angle B? 0° B…

A: This is a problem related to sine cosine rule of trigonometry. Please follow the procedure given…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given |u. (vx w)| to determine the…

A: This is a vector problem

Q: Find the general solution of the given second-order differential equation. y" - y' 20y = 0 y(x) =

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: We have to find solutions

Q: Find the area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: The objective of the question verify the parallel of given plane and find distance between them .

Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -30x + 120y + 60z…

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Q: thats a natural log of 9 to 0 and integral from 9 to e^x

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Q: Consider the following differential equation to be solved by the method of undetermined…

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Q: W Identify the locations of transition points on the interval [2, 4]. (Give your answer in the form…

A: The given function is fx=2sinx+x We have to find transition points in the interval 2π, 4π.

Q: I 44. Solve the initial value problem: EL y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5.

A: The solution is given below

Q: Solve the given initial-value problem. y(x) = 4y" - 4y' 3y = 0, y(0) = 1, y'(0) = 3

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: ct rit Find the x-value of all points where the function below has any relative extrema. Find the…

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Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

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Q: Use properties of power series, substitution, and factoring to find the first four nonzero terms of…

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Q: 3. Apply the Integral Test to show whether or not the series converges. You do not have to show the…

A: We have to find the convergence test

Q: Find the following derivatives. Express your answer in terms of the independent variables. 2x - 2z…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: This is a problem related to vector. Please find the procedure given below.

Q: The rectangular coordinates of a point are given. Plot the point. (1, 2) -3 O -3 -2 (r, 0) = -2 -1…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Solve the given differential equation by undetermined coefficients. y"" - y" - 25y' + 25y = 6 - ex +…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: go Find the equations of the tangent lines to the graph of y=x²+6 graph of a to 197 +6 that through…

A: To find out the equation of tangent line and also graph it.

Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: Suppose that the cost function for a product is given by C(x) = 0.003x³ +8x+11,440. Find the…

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