Perform the matrix operation [1 2 7 1 -25 -4 +8[1 2] L6 0 14

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: Evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder with height 8 and…

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

A: Topic = Coordinate geometry

Q: A 14 -13 -12 11 -10 -9 -8 -6 -5 -4 -3 -12 41 J 4 3 2 7 + -2 -3 -4- −5+ 2 3 4 3 6 The curve above is…

A: We have to find the equation of graph.

Q: Determine an equation for the family of cubic functions, in simplified form, with the following…

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Q: A force of 480 newtons stretches a spring 3 meters. A mass of 40 kilograms is attached to the end of…

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Q: Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)

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Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: A real estate office manages an apartment complex with 50 units. When the rent is $650 per month,…

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Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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

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Q: In 1960, the population of a town was 1414 thousand people. Over the course of the next 50 years,…

A: We need to find out the population in 2020.

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Describe at least two (2) similarities found in methods of integration and methods of…

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Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(4, -1, 1), u = (0, -, -3) - (a) Find the…

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

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Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

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Q: 1. Find the respect y = 2x5-x² 3x - 20 derivatives with to X using dy using o 12-1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 5x *(2,3)=ze4%. yer. Then Vf= and Duf(1, -1) in the direction of the vector (1, 1) is

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

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

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Q: What is Part C's answer, it's wrong. Please fix it.

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Q: Find area bounded by the carves. (Round answer to 2 decimal places) y = 7x² −2x _y=x³ -7x+4 +

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Q: Is the inverse equation a function

A: The inverse equation or an anti equation is also a function.   A function is invertible if and only…

Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r =…

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Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

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

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Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

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Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁= 200 and the assumption that…

A: Given dn+1=0.5dn+200 and dn→L as n→∞. To find L .

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.)…

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Q: Consider the following functions. f₁(x) = 0, f₂(x) = x, f(x) = ex g(x) = C₁f₁(x) + C₂f₂(x) + C₂f3(x)…

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Q: I. Solve the following integrals using Algebraic Substitution 1. ſ 2. S -1dx dy y+4-2

A: ∫un du = un+1n+1+C ∫1au+b du =1alnau+b+C ∫1u2+1du = tan-1u+C

Q: Decide if the given value of x is a critical number for f, and if so, decide whether the point for x…

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Q: Convert the point (r, 0, 2) = (1, (1,2,3) 3 to Cartesian coordinates. Give answers either as…

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Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Solve the given initial-value problem. d²y dt² y(t) = 4d dt - 5y = 0, y(1) = 0, y'(1) = 4

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Q: 1. Does the definite integral [a,b]? Why or why not? 2. How would you calculate the total area of…

A: Here we have to use the concept of integration

Q: Find the area bounded by the curve y equals to x to the fourth between the lines x minus two and x…

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Q: A moving conveyor is built to rise 1 m for each 6 m of horizontal change. (a) Find the slope of the…

A: A moving conveyor is built to rise 1 m for each 6 m of horizontal change.

Q: Determine if the following improper integral converges or diverges. If it converges, find its value.…

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Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A: Given, R(x)= 520x-0.02x² Taking first derivative for marginal revenue function we have, R'(x)=…

Q: K=1 3√√√x² +7 2 K³ +4 3 • The limit comparison test with { k=1

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Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: Solve the following CDES by variation of parameters method y" + 5y' + 4y = x² e ²x Ans:

A: Given :y''+5y'+4y=x2e2x

Q: Determine the equation of the tangent line to y=ex2 at Plate unal

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