Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

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A: Let's draw the graph of trigonometric function.

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A: Here we have to solve the given differential equation and plot the solution

Q: What is the total change O -1

A: topic:- function

Q: 14. Prove that AC B if and only if An BC= 0.

A: The objective is to prove the above question.

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: (B) x = -and x = -3 14. On which interval(s) is the graph of f(x) increasing? (A) (-∞0,00) (B) (-∞,…

A: Note : as per guidelines we support only three subparts of the questions.kindly repost next…

Q: what

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Q: 24. 25. For numbers 24-30, consider f(x) = -x +8x³ - 18x² + 10. Read the following statements…

A: Here we have to use the concept of derivatives

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A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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A:

Q: COSINE LAW * A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an…

A: T is the height of the tower. x is the horizontal distance between the tower and the tree. a is the…

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Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: Find the displacement of an object on the interval 1 ≤ t ≤ 6 if its velocity is shown. 8.5 O 10.5…

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Q: 2π What formula would be used to calculate the left rectangle approximation of ² (sin x cos x)dx…

A: Solve the following

Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = f (2x + 5) sin (x² + 5x) dx o F(u) =…

A: We can find the correct option as below.

Q: For numbers 24-30, consider f(x) = -x +8x³-18x² + 10. Read the following statements carefully. Each…

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Q: 7. y = tan³ (2³) (A) 3x² sec(2³) tan(x³) (B)-3x2 sec(³) tan(x³) 8. y = cos(5x) (A) sin(5x) (B)-5…

A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

Q: 21. The complementary solution, ye, of the equation y" + 2y" + y = 10 is (a) Ye= C₁e + C₂e + C3 (b)…

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Q: T Sin ³ de 3 1-cose

A: I have stated the used formulas in the solution

Q: X Your answer is incorrect. Find the area of the surface generated by revolving the given curve…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: Let f be a function for t≥0 then the integral Lf(t)=∫0∞e-stf(t) dtWe have to find the Lf(t)Where…

Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: Use identities to write the expression as a single function of x or 8. cos (0 + 270°) cos 0 -sin 8…

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Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = [ x√√x² + 4dx

A: The given function is:Fx=∫xx2+4dxTo write the function for Fu

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Q: Given data points: (-2, 1), (-1, 2), (0,1), (1,2), (2,1) Calculate the error vector and the error…

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Q: cote √3)2sin0 + √2) = 0 - The solution set is {60°, 240, 225°, 315°} (30°, 210, 225°, 315°} O{45°,…

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Q: D. (Bernoulli Differential Equation) Find the general (or particular) solution of the given…

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Q: explain

A: Displacement is the shortest distance between two point.

Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: Use a double integral to find the volume of the indicated solid. X 5 4 3 CH N z=6-2y 2 0≤x≤4 0≤ y ≤2

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Q: Complete the table by identifying u and du for the integral. [ f(g(x))g'(x) dx [x²√x² + 6 dx U= u =…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x3, x = 9,…

A: We have to find the volume of the solid obtained by rotating the region bounded by the given curves.

Q: Q16 3⁰ 3t+2 a) 1 b) J dt dr cos² r√5 + tanz dt (3-5t)²

A: see below the answer and calculation

Q: Find the values of a where the tangent line to the graph of f(x) = y = 5x + 6. Give exact answers…

A: Given: Find the values of x where the tangent line to the graph of f(x)=1x is parallel to the line…

Q: what theorem was used? i cant read it.

A: Let's solve.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Formula:

Q: What are the values of x where tangent line of graph of f(x)=1/x is parallel to the line y=−5x+4.…

A: Follow the procedure given below.