Use the method of variation of parameters to solve the differential equation d'y kdy - re dx2 dx and write your answer in terms of the positive constant k.

Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

A: * We have to evaluate the definite integral ∫-12t2+7dt . * We have to identify the equation of the…

Q: d dx [47 tot 1 3x17 5 13 + 10 L 25 +100

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: 3

A: Solve the following

Q: Which of the following is correct in solving 3/22 2x√2 + x dx? Trigonometric substitution can be…

A: To determine which of the following is correct in solving ∫2x2+x dx.1 Trigonometric substitution can…

Q: Solve the given equation for x. (2x + 1)² = (3x - 1)² X = (Simplify your answer. Use a comma to…

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Q: For the function y = f(x) f(x) = 1x³ + 5: df a. Find at x = = 4. dx ƒ'(4) = = 48 b. Find a formula…

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Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: d dx -[x² tan x] d sin x dx 11+ cos x] 1 1 + cos x

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Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: Q4/ B/ If Ø = (x³y²z) and A = 2xz i - 3y²j+ 3xy²k Find 0(ФА) ay əx the point (2, -1, 3)? at

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Using synthetic division, determine whether the numbers are zeros of the polynomial function. -1, 2;…

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: This question can be solved using the concept of differential equation.

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: A trough 21m long has ends shaped like isosceles triangles, with base 5m and height 14m. Water is…

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Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: 1) Compute the value of representation √√√√3-i in exponential representation and polar

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Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Show that the solution y(t) of the initial value problem has the Laplace Transform y" + 2y' - 3y = 6…

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Q: Next question 1 5 Find the absolute extrema if they exist, as well as all values of x where they…

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Q: 2 -πx²y. = The volume of a right circular cone of radius ï and height y is given by V 3 dy when x 4…

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Q: Shown below is the graph of a function f which is continuous at every real number. Identify the…

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Q: se the formula FV = PMT(1+i)-1 i

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Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

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Q: In the Figure 1, if Q= 40 N, R = 100 N, and B = 145°, then C is equal to: Figure 1: с A R B P

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Given problem:- Find the absolute extrema if they exist, as well as all values of x where they…

Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y-² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 12. A plane 77₂ intersects 7₁: 4x-2y+7z-3-0 at right angles. Two points lie on 77₂: A (3,2,0) and B…

A: Given equation of planes π1 ; 4x-2y+7z-3=0points  A( 3, 2, 0 )  and  B ( 2 , -2 , 1)  lies on  the…

Q: x²-16 8. lim x-4x²+9x+20

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Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

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Q: If w = cos(xyz), compute for 82 w дудz

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Q: Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace…

A: This question is all about laplace transform.  We know that laplace transforms are as  L{y"} =…

Q: dy Give the coordinates of the point where dt y = sin(t)- t³ O (0,0) O (0.535,0) O (-0.535,0) O (0,…

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Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 6y = cos x Determine…

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Q: A thermometer is taken from an inside room to the outside, where the air temperature is 20° F. After…

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Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

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Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of t…

A: The simple transformation using

Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

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Q: Find the derivative y = x tan^¹x − In √√1 + x²

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Q: Find f'(x) if f(x) = = f(x) = x² 3x-2'

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Q: Suppose c is a real number, which of the following limits ALWAYS exist?

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Q: Consider the linear system of equations a) For which values of a does the linear system have no…

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Q: Use Lagrange multipliers to find the shortest distance, d, from the point (1, 0, -2) to the plane x…

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Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

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Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150