1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

Q: Let f(t)= F"(t), with F(t) = 5t2 +t, and let a = 4 and b=7. Write the integral f f(t) dt and…

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Q: PLEASE

A: As per policy only first question is answered. Please refer to the image below

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: nd the largest oper 1 Where f(x)=x²

A: topic:- calculus

Q: Evaluate the function at the given values of the Independent variable. Simplify the results. g(x) =…

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Q: At which of the following x-values does the function shown below have negative slope? Select all…

A: Given: From the above figure, we need to find x-values where the function has a negative slope. We…

Q: Solve the differential equation by variation of parameters. y" + y = csc(x)

A: Our Aim is to solve the differential equation given below using variation of parameters.y"+y= csc…

Q: Use implicit differentiation in finding y' . x²y+xy² =6

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Q: 5. An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by…

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Q: MHF4U Name: Date 3. Erin travels north and south from Main Station. The distance, in km, of the…

A: We need to find time.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: Without using a calculator, find the exact value of the expression: 20 cos(-315°) - 6 cot( - 135°).

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Q: 3. Apply the Integral Test to show whether or not the series converges. You do not have to show the…

A: We have to find the convergence test

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

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Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

Q: unction. Consider the function f, defined by: -1, f(x) = 2 500 0, 1, 2, Determine the exact value of…

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Q: (a) Find the derivative of ƒ (2) = (x² + 5) (8æ — 5) by first expanding the polynomials. Enter the…

A: We have to find out derivative

Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Find three positive integers x, y, and z that satisfy the given conditions. The sum is 33, and the…

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Q: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: 1. [cos³x dx [Use the reduction formula]

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Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Set up, but do not evaluate, an integral for the length of the curve. xex⁹ Jo y = 0≤x≤5 dx

A: Given,  y=xex9, 0≤x≤5

Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: ƒx(2x−1) dx 2 √x³√x²+4 dx

A: for (1),     ∫ x2x-17dx=∫ 128x8-448x7+672x6-560x5+280x4-84x3+14x2-xdx=∫ 128x8dx-∫ 448x7dx+∫…

Q: sina+sinatan² dx a sinx 2. ·S

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Q: 1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

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Q: Evaluate the function for the given value of x. r(x)=3x, p(x)=x2+6x,(p-r)(x)

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Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

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Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x&gt;0x2-1if x≤0

Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5)n n5n

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Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

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Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Consider the function in the graph to the right. The function has a Select an answer of at x = The…

A: Graph of the function is given.We have to find the increasing and decreasing interval and domain and…

Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

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Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

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

A: Scalar multiplication of matrix and addition of matrices of same order are component wise…