Find the inverse, if it exists, of the matrix A: 0 A = 1 -1 -2-3 3 3 -2 -2

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A: The given differential equation is

Q: c) Evaluate the integral by interpreting it in terms of areas. ['fo f(x)dx 2 0 2 y = f(x) et 4 6

A:

Q: Ex 5. i) Find an equation of the line tangent to f(x) = 2x - ex 2 (0, –12). at 0,

A: SolutionGiven function is,

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Q: If the wholesale price of 10 packages of smoked salmon is $99.50 what will the cost be for one…

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Q: for the function: f(x) = (9-x²) ³/5 B. (-3,3) D. (-3,0,3]

A:

Q: please help step by step

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Q: Q1) Consider the function /(x) = x2 + 2 in the interval (0, 2). Approximate the area under the curve…

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Q: B) √√√36-x²dx

A: To evaluate the following integral.

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Q: When x³ + x² - kx - 5 is divided by x - 2 the remainder is 1. Find the value of k.

A: Remainder Theorem:If a polynomial p(x) is divided by x-a then the remainder is p(a)

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Q: (x²-3x² + x - 6) = (x + 2) 30. Divide by polynomial long division.

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Q: 4. Is P(-2) a root of P(x) = x³ - 2x² - 5x + 6? Explain why or why not. (SHOW ALL WORK)

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A: As we know that,So we can write above equation,Here,= Angular Frequency= 6

Q: Evaluate the sum Σ ( - 16k). S k=1

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Q: 8. Answer all of the questions below about the function f(x) graphed below when x = -4. Write dne…

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Q: Solve the given third-order differential equ y"" - 3y" - y' + 3y = ex y(x) =

A: y"'-3y"-y'+3y=e5x

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Q: Now find the derivative of the function  y = ex6  using the chain rule.

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Q: Use a midpoint Riemann sum with four subintervals to approximate the area under f(x)=4/x on [3,5]

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Q: Ex 3. Solve for 0. i) 20 cos 0 + 0 = 0. ii) sin² 0 -1 = 0.

A: To solve for .

Q: 16 find the equation of the normal line when given x = 6cos@ and y=ysin 9 0=1,

A: x=6 cos(theta), y=4 sin(theta)Theta=π/4

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Q: The tables below show some inputs and outputs of functions f and g. -8 -5 −1 f(x) 16 10 2 x x g(x)…

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Q: Express your answer as a polynomial in standard form. ƒ(x) = x² + 7x + 11 g(x) = 2x +4 Find: f(g(x))

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Q: Find dy dx dy dx y = T/4 3√x sin (1³) dt

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