Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D (denominator). D= Find the determinant D associated with DE = Find the determinant Dy associated with Dy=

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Q: 3 -18 )x are repeated real, 11 = -3 = dz and the Given the eigenvalues for X' = (C eigenvector is K…

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Q: please

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A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

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Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: 109. ff(x)=x4 tan x³ -x In (1+x²), then the value of (b) 1 (c) da f(x) dx4 at x = 0, is: (d) 1 15

A: Use the properties of add and even function.

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

A: I am attaching image so that you understand each and every step.

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Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Given problem:- Describe in word all transformations involved.   y = - 3sin(180°-4x ) + 5

Q: ICLO-3 Use the graph to ist() de.x) dx and S(x) dx in order, from smallest to largest 05 0 0.5 52 25…

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A: Follow the procedure given below.

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Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

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Q: gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of…

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Q: WHAT IS -1- ?

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Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y>0To find : Find the exact length of the curve.

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Q: . Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

A: r=3 sin 2θ and r=3 cos θ R is the shaded region: To Find:a. Find all points of intersection of C1…

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Q: The linearization of the function f (x, y, z) = x³z² + xy2 + 3y - 10 at the point (-1, 1, 2) is…

A: L(x,y,z)=f(a,b,c)+fx(a,b,c)(x-a) +fy(a,b,c) (y-b) +fz(a,b,c)(z-c).

Q: d Calculate [r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

A: Given    differentiate

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A: Let's find.

Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

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Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: f(x, y) = 'r cos(y) + y(e² − 1), x‡0 xy 0 x = 0.

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Perform the indicated operation if possible. If not possible, enter "DNE": 4 2 -51 0 -10 51 5 -4 -9…

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Q: Give a formula for the nth positive even integer: Here is a theorem: 1+ 2+3 + ... + n п(n+1) n = Use…

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Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

A: Given