Refer to functions p and q. Evaluate (qop) (x) and write the domain in interval notation. Write your answers as integers or simplified fractions. p(x) = x² + 8x q (x) = Part: 0/2 Part 1 of 2 (q° p)(x) = 0 00 x-65

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…

A: A detailed solution is given below.

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

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A: Given, ∫0π45sin23xdx

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

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

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A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: To find volume V of the body formed by revolving the given region .

Q: 8. y = In (In (In x))

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Q: Find the area of the region bounded by a = y³ - 4y2 + 3y and the x = y²-y. 77 square units 12 (b) A=…

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Q: Let (w, x, y, z) = wxy + x² tan z and a = (1, -2,3,4). Then w(a): .₂(a) = -6 -2 8 60 -8 1-1 2 , (a)…

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Q: 2. Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 +…

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Q: Write the partial fraction decomposition of Do not determine the numerical of the coefficients. x2…

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) y = 5 -4 -3 2 -- 1 4…

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Q: 6. Find the radius of convergence and the interval of convergence for Σ-0¹ (x - 2)". 7. Find the…

A: See this solution in below.

Q: - If u = 4j – 2k and v = 27 − j + 7k, find || − 3ủ + 5v||. Select one: O 2√230 O 3√373 O 2√373 O…

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Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

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Q: f(x) = 6x3 - 9x + 4 +4

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Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: 12. Integral x² dx x³ +4

A: Given the integral,        ∫x2 dxx3+4

Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: Which of the sequences {a} in Exercises 31-100 converge, which diverge? Find the limit of each…

A: For the given sequence, If limit of the sequence at n -> infinity finitely exist, then we'll say…

Q: x' sinx dx

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Q: 19. Water is leaking out of an inverted conical tank at a rate of 10,000 cm³/min at the same time…

A: I am attaching image so that you understand each and every step.

Q: Find the volume of the prism. 12 ft 27 2 ft 3/ ft V = [?] ft³ Write your answer as a mixed number…

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Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: 1 -1 -2 Use the figure below to find the exact values of the following definite integrals. 6 8 10…

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Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: We have that the center is 4+i. So, we have the LHS as |z-4-i|. We see that (7, 0) is on the curve.…

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: The base of a three-dimensional figure is bound by the line y = x + 4 on the interval [-3, 1].…

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Q: b) F (1) √x 1 -Jetr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2 Given that F(x) =…

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Q: 5. Integral ReR dR

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Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: Find the net signed area of ƒ (x) = x - 2 over the interval [0, 6], illustrated in the following…

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Q: 2 19-x² 4 x² X dx

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

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i

Q: 12. Integral x² dx x³ +4

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: 17. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Concept of similarity along with derivative is used.q

Q: Find the solution of the following initial value problem. y″ + 11y' + 18y = 0_y(0) = 11, y'(0) = −71…

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Q: Determine the area enclosed by y = from x= -3/2 to x = 1. |- 1 x+2 and y = (x + 2)²

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Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: If u = 4j – 2k and v = 2ỉ − j + 7k, find ú.v. Select one: O √110 O-18 O √18 O 18

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Q: Consider the following functions. f₁(x) = x₁ F₂(x) = x², f3(x) = 3x - 7x² g(x) = c₁f₁(x) + C₂f₂(x) +…

A: To find whether given functions are linearly dependent or independent.

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

A: