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Q: To solve the following integral, you have to make a change of variable. Select from the items, the…

A: To find the value of the integration we use the change of variable. Offer change of variable we find…

Q: (1+ V5 (3 – V5) Without using a calculator, express in the form a+bV5, where a and b are integers.

A: The given expression is: 1+53-5-2 Express in the form a+b5, where a and b are integers. Rewrite the…

Q: X1 + X2 – X3 = -3 6x1 + 2x2 + 2x3 = 2 - 3x1 + 4x2 + X3 = 1

A: We have to solve this.here we use cramers rule to find the value of X1,X2,X3.

Q: (z- 1) (+1) (- 6) (z- 1) ( – 1)(z – 6) (z – 1)(x + 1) (- 1)(x+1)(2 - 6) () O O

A: Follow the steps

Q: Solve the following differential equation by the method of Variation of Parameters: x′′ + 49x =…

A: Variation of Parameters: Consider the differential equation…

Q: Use the arc length formula 2 dx dy L + dt dt dt to find the arc length of the curve. x = cos 12t, y…

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Q: Find the eigenvalues of the matrix -43 60] A |-30 42 The eigenvalues are (Enter your answers as a…

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Q: I = 10+ 2s I - 1 y +3 12 - z Consider the lines defined by the equations l1 : and l2 : 9. y = 5s 7 z…

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Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

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Q: 3. Determine the critical points of the function: (z+4) f (z) %3D (2z2+z+8) Enter your answer

A: Given is a function f(z) = (z+4)(2z2+z+8)   To Find: Critical points of the function f(z)

Q: 13. A right circular cylinder is inscribed inside a sphere with radius r 3 inches. Find the maximum…

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Q: solve USING FACTOĤING 34-3-7 3- 3

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Q: Find the unit normal vector for the vector-valued function F(t) = 2 sin(t)î + 5j + 2 cos(t)k. N(t) =…

A: Solution:-

Q: 1. Find the Laurent series that converges for 0 < ]z| < ∞ for the function sinh 2z z2

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Q: 5. Suppose that f(n) satisfies the equation f(m+n) = f(m) + f(n) – 2f(mn) for all integer m,n >0,…

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Q: Hand written plzzzzz...will rate

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Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: Q1. The test scores on a test were recorded for 8 students as follows: 71, 93, 91, 86, 75, 73, 86,…

A: Given that,The test scores on a test were recorded for 8 students as follows,71, 93, 91, 86, 75, 73,…

Q: QUESTION 7 Solve. You will find a system with an infinite number of solutions, with no solution, or…

A: 7. Given system is 2x+16y-8z=24, -4x-32y+16z=12   To Find: Solution of given system

Q: Hand written plzzzz...asap

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Q: An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let 0…

A: Solution:We know that the equation of straight line that Y = MX+C, where   M = slope of lineSlope of…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Determine the points at which the limacon defined by the polar equation 1= 3+2 sin e Has horizontal…

A: Consider the given polar equation, r=3+2sinθ differentiate the equation with respect to θ,…

Q: Consider the differential equation: dy/dt=2y-cos(3t) a. Find the homogeneous and particular…

A: Given: dydt=2y-cos(3t) To find: a) Find the homogeneous and particular solutions to find the general…

Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and y ex

A: Volume bounded by xy-plane

Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.

Q: 10 -7 Let u = and v = Compute u • v, v · v, ||u|| and find the dis- 13 16 tance between u and v.

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Q: Calculate fls f(æ, y, z) dS For 2² + y² = 16, 0 < z S ls f(x, y, z) dS =

A: Introduction: The surface integral is used in mathematics to add a collection of values associated…

Q: Compute the flux of the vector field F = 2xi + 3yj through the cylindrical surface shown below, if a…

A: We have to compute the flux of the  given vector field.

Q: Using the vectors from the previous problem, find the projection ul of v onto the vector u and find…

A: Solution

Q: Use Stokes' Theorem to evaluate curl F- dS where F(r, y, 2) = 4ryzi – ryj + x?yzk and S consists of…

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Q: Find inverse laplace trans Sorm -25 FES)= e S(s +4)

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Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: Set up, but D O NOT SOLVE the system to compute the least squares solution to the following system.…

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Q: Derive equations to describe displacement of a cam that has the following characteristics in the…

A: Solution

Q: Fill in the blanks in the following proof, which shows that the sequence defined by the recurrence…

A: The solution is below.

Q: 4) A pendulum has a length of 0.25 m. Recall that the period of a pendulum is given by the formula T…

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Q: I can compare properties of f'unctions. After researching beach houses for an upcoming vacation,…

A: Graphically, the linear function representing the relationship between an independent variable let's…

Q: Match each graph with its equation. v F(t) = (cos(t), sin(t), t) ]F(t) = (t, sin(t), 2) F4) – (1, 2,…

A: The first vector function is rt=cos t, sin t, t. The components are x=cos t, y=sin t and z=t. Square…

Q: Investor Dan has $625,000 to invest in a CD and a mutual fund. The CD yields 4.3% and the mutual…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: 3.23 Prove or give a counterexample: The function |f| € R[a, b] + ƒ € R{a, b].

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Q: 7. D is bounded by the surface (a2 + y² + z²)² = a²(x² + y? – z²). %3D

A: Sol

Q: What are the other cases of Transformation of Trigonometric FormulaS (please also include the…

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Q: Find a power series representation for the function. (Give your power series representation centered…

A: The given function is fx=91-x2. Consider the infinite geometric sum ∑n=0∞xn. The sum of the series…

Q: The preference table for an election is given below. Using the Borda count method, Dwas declared the…

A: Sol

Q: 3 n° 7n Use induction to prove that for every positive integer n, n° + + 5 is an intege 15 3

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Q: The Annual Return is the average Annual Percentage Yield (APY) of an investment over a T-year time…

A: Given that Initial value=$7000Ending value=$16500Time T=10 years

Q: (9) (Schwartz space) The Schwartz space on R, S(R) is the set of all C* functions f such that its…

A: Given that the Schwartz space on ℝ, Sℝ is the set of all C∞ functions f such that its derivatives…

Q: Discrete Math: Q# 1. How many strings of 9 letters can be created if the first and last letter must…

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Q: j ula,0) =f(2) solue (4 Us ing neumann Boundary Conditions o lg Periodic Boundary conditio, usile

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