Use the method of variation of parameters to determine the general solution of the given differential equation. y" - y = 7t NOTE: Use c₁, c2, and c3 as arbitrary constants. y(t) =

Q: Use the method of undetermined coefficients to solve the initial value problem. Oy y = y= y = y = 3…

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Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

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A: Equation of the line , y=mx +b ; where , m is the slope .

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Q: A decreasing derivative f'(x) corresponds to a concave down function f. On which interval(s) is f…

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Q: Select the correct answer. dg(x) dx dg(x) dx dg(x) dx = casi(v) 4 = 4x sin(x) 5 = x sin(x) g(x) = ft…

A: using fundamental thereom of calculs,

Q: 1. Compute the following: f sin²(x) dx

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Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

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Q: e integral by making the given substitution. (Remember to use absolute values where appropriate. Use…

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Q: Evaluate 5x e (e5x+3)⁹ 9 dx

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Q: Let k(x) = 2x (h(x) + 2x²g(x)). Given the following table of values, find k' (0). 0 3 3 -1 3 Provide…

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Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: Express your final answer at least three (3) decimal places.   Find the arc length of the curve y…

A: Concept: The arc length of the curve is given by  L=∫abds In rectangular form, ds is presented as…

Q: Consider the function f(x)=√x+1-5 for the domain [- Find f(x), where f¹ is the inverse of f. Also…

A: NOTE: Refresh your page if you can't see any equations. . substitute y for f(x)

Q: How much money should Nicholas invest today into a fund that earns interest at 4.75% compounded…

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Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

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Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: Of(x) = 2x Of(x) = x²²

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Q: Supposed z varies inversely with t and that z= 15 where t =12. What is the value of z when t =3? Z=

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Q: dz 2 ē j ( W ± ¹ ) ( x (Z) e ³ (W+¹) Z dz 2 BO t AN Z 2dt = dz t = How did he get the value inside…

A: Multiply the term in power of exponential and then use am+n  = am * an Since, one term is constant…

Q: Find a formula for the inverse of the function. f(x)=2-3x3

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Q: 10 3x Find the derivative of f(x) = x¹0e³ª. f'(x)= =

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Q: Evaluate the limit using the Basic Limit Laws and the limits lim, tp/q = cpla and lim,→ck = k. (Use…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a & x=b…

Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: The price-earnings ratio of a stock is given by P R(PE)=E where P is the price of the stock and E is…

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Q: 6. Demonstrate that Σ j=0 1-z' 1-z

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Q: Write the row vectors and the column vectors of the matrix. [#3] 4 0 (a) the row vectors ↓ 1 (b) the…

A: The objective of the question is determine the row and column vectors.

Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y)→(0,0)…

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Evaluate the integral. Select the correct answer. O 3100 3100 3100 t + t + sin 16t+sin 32t+C 75 1…

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Q: Question 10 of 10 Sketch a possible graph of a single function satisfying all of the following…

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Q: The function f(x) This function has a local maximum at x = with value - with value 5 + 8x + 72x and…

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Q: Given the following table of values, find h'(0) if h(x) = −6x + f(x)g(x). 7 7 6 -4 -1 Provide your…

A: The given function is: hx=-6x+fxgx   As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

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Q: X Find the average value of y= 4 cos on I 2 ST 6

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Q: O Differentiate Y 2 +1 3/2

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Q: et T(x, y, z)= 100+ x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80.…

A: Given: Tx,y,z=100+x2+y2sphere g= x2+y2+z2=80plane h =x-z=0

Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A: Given the graph of a function. To find the points where the function is discontinuous or not…

Q: Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by…

A: We need to find tangent.

Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

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Q: Find the solution of the given initial value problem 156y" +25y" + y' = 0, y(0) = −9, y'(0) = 2,…

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Q: 3. Find the F. T. of the following periodic signal H -2 -1 2

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Q: Find the equation of the line tangent to the graph of f(x) = − sin (x) — 3 at x = 0. (Enter an exact…

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Q: Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type…

A: To determine the domain of the function of two variables fx, y=y+3x.

Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is

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