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 64 32 -x² + 8 and below by y = x²? 22

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x -…

A: answer is in next step.

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Q: Consider the following equations. 1 x² O 6 Sketch the region bounded by the graphs of the equations.…

A: topic - area bounded by curves

Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Use partial fractions to find the inverse Laplace transforms of the following functions 11-3s 1.…

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Q: (7) ² Fi²+ Fi²+ ² Fi Fz Cos/20 49=F₁²+ F²-FiFe- tan 8= 48- = 4√3 4√3= F₂S in 190 Fit F₂ Golze $7…

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Q: Refer to the functions r, p, and q. Find the function (p.q) (x) and write the domain in interval…

A: We can answer the question as below.

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A: It is given that: h(x)=x2-5x-24,j(x)=5x+15

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Q: A particle is moving along the x-axis so that its velocity at any time t≥ 0 is given by v(t) = 5tet…

A: Explanation of the answer is as follows

Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: For j(x) = (1-x²) (-3x³ + 2x), find j'(1) by applying the product rule. Provide your answer below:…

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Q: Q1A)The vectors A = 3i+j+ 4k, B= 2i-3j-k, find vector normal to A and In plane of A and, B.…

A: Let's call the vector to be found is C. C vector will be normal to both vector and A and B. we can…

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Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…

A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx

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: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: Find area bounded by y=0,y=√x-x² using double integration.

A: To find the area of the given region.

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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: Which of the following represents the region of the complex plane defined by |z−2i-3| ≤2? (A)…

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Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

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Q: Using the Inverse Function Theorem, what is (1-1) (8) given that /(x)=√√61-2? Note that (11) = 8.…

A: find inverse function

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

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Q: Find the average value of: f(x) = 8 sin x + 3 cos x on the interval [0,1] 3 Average value =

A: Solved below.

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Q: (a) Find the average value of f(x) = 25 - x² on the interval [0, 2]. Answer: (b) Find a value c in…

A: SOLUTION-

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A: Given :f(x)=cosxx1=1.6

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A: Explanation of the answer is as follows

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: Which equation could be represented by the number line? A. -9+8 = -1 B. -4+ (-5) = -9 C. -1 + (-9) =…

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Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Using the Inverse Function Theorem, what is (-¹) (8) given that f(x)=√6x-2? Note that (11) = 8. (Do…

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Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Find the general solution of the following differential equation. 25y" +10y + y = 0 NOTE: Use c₁ and…

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Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

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Q: sint do соби Ө

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Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

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Q: 5. Find three 2 x 2 nonzero matrices A, B and C such that B C and AB = AC = 0.

A: To find the matrices A, B and C satisfying the given conditions.