Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12 -10 -8 = 4 - 4 4 10 B K 0 10 + 9 2 * . 10 10 12 12

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Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

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Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx

Q: Find the following for the given equation. r(t) = e−t, 8t2, 3 tan(t)   (c)  Find r'(t) · r''(t).

A: Find the following for the given equation. r(t) =< e−t, 8t2, 3 tan(t) >   (c)  Find r'(t) ·…

Q: Step 2 Use the following trigonometric substitution. x = tan (0) tan (0) Differentiate with respect…

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Q: Part 2. Integration by substitution Solve the following integrals through video presentation. √x+1 x…

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Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: dx 2. √ √x

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Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: Show that for each positive integer n the polynomial (x-1)2 is a divisor of q(x)=nxn + 1 -(n + 1) xn…

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Q: 2. At a local maximum point f '(x) = 0. a) always b) sometimes 3. If f '(x) = 0, then the point (x,…

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Q: Estimate using the linearization L(x) of f(x) = at a = 49. (Use decimal notation. Give your answer…

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Q: 1) Consider the DE: xy' +(5x-1)y = 0. A) Determine whether the DE is linear or nonlinear and find…

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A: We have to find the volume of the solid.

Q: Given f″ (x) = 4x−5 and f′(−1) = −6 and f (−1) = 5. Find f′(x)=  and find f(4)=

A: We have to find f′(x) and f(4).

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A: Taylor series of function fx at a is defined as:…

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A: The function f(x)=csc(x), 9, csc 9

Q: eliminate the arbitraty constats of the differential equation y = C1e^2x + C2xe^2x a. y” + 2y’ + y =…

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² - 65xex…

A: The characteristics equation is  m2-8m+20=0⇒m=4+2i, m=4-2i So, the general solution to the…

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Q: Q3/ A. For the following function f(x). Find: i. ji. m=? 1-4X m -UX.=-U 1-4X 1-4- 1-423 P(1,-1)…

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Q: QUESTION 6 Which of the following functions are separable? Of(x,y)=In(xy) f(x, y) = x² + y f(x, y) =…

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Q: Graph of the function. Show all 7 steps.  g(x)=x2-2x-15

A: Must have idea about the seven steps to determine the graph of any rational function.

Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Find local maximum local mainimum Critical points Increasing decreaing interval

A: The solution is given below

Q: (9) Find the limit for the given function. h lim (P-3r) mi (sin (8t))² हर t-Do Ne-xst

A: This question is based on limits.

Q: Say a candidate is running for mayor of a city. During the incumbent mayor's first year in office,…

A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: c) [. The intersection of the sphere B and the xz-plane is (x - 2)² + (z + 1)² 2)² + (z + 1)² = 9.…

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Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

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Q: Calculate the following antiderivatives: (a) ∫ 8t− 6t^6 −5dt =  +C. (b) ∫ 1/u^7/4 + 3.5 sqrt u du…

A: a) Given:       ∫8t-6t6-5dt  =∫8t dt-∫6t6 dt-∫5 dt taking constant out     =8∫t dt-6∫t6dt-5∫ dt…

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A: To evaluate the integral.

Q: Approxima using the (Use symbolic notation and fractions where needed.) approximation based on…

A: Given: x14 at a=16

Q: a T c. 10 ml Convert the following (us

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Q: Use the appropriate compound interest formula to compute the balance in the account after the stated…

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A: Solution is given below:

Q: (x²-1)³ dx √x

A: Given, ∫x2-13xdx

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Q: If F(x) = 3x4 is an antiderivative of f(x), find Provide your answer below: [(-5f(x) – 5x³) dx.

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Q: Find the derivative of the function g(x)=√t-sin (t) dt . Iv

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Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

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Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

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Q: Q1 Pick a number A number is chosen at random from the whole numbers 1, 2, 3, ..., 25. Work out the…

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Q: Solve using variation of parameters: y" - 2y + y = e/(1+1²) + 3et Type the letter of your answer. Yc…

A: Follow the procedure given below.