4. Find the area between y=Z+3. and ys-xt1ox-9

Q: long

A: We will use long division method.

Q: 1. sin 0 =

A: answer is in next step

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A: topic- continuity of a function

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A:

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

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A:

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A: We have to solve above question

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A: Given that, the function is g(x) = 4x³ - 36x² + 96x We have to find the g'(x),g"(x) and have to…

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A:

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n + 2 n = 0…

A: Alternating series test:∑n=0∞ (-1)nn+2an=(-1)nn+2bn=1n+2limn→∞1n+2 =0and bn+1-bn=1n+3-1n+2…

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A: Given query is to find the series converges or diverges.

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A: solution:-limx→1sinx-1x3+4x-5 ,  it is  00   formusing  L'Hospital's…

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

A:

Q: Calculate the following derivative if f(x) = 5e* - x³. %3D (Use symbolic notation and fractions…

A:

Q: 15. Find x² (2x³ + 4)5 dx

A:

Q: Find y ify=xIn(9x+1) 2.

A:

Q: Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets…

A:

Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

A:

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A: This question can be solved using the concept of geometric series test and p series test for…

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: Let's find.

Q: 3n 8 If tan 0= find the exact value of each of the following. 2 cos (20)

A:

Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

A:

Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

Q: F(x) = dt Step 1 Rewrite the glven functlon F(x) D, -2 dt as F(x) =D -2t dt.

A:

Q: 21. A rectangle is drawn in the first quadrant so that its base is on the x axis and its left side…

A: Derivative application

Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞ or…

A:

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

A:

Q: The probability that an event will happen is . What is the probability that the event will not…

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

A:

Q: 9.

A: Given,  y=2x+x4-9x+3

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A: Explained below

Q: Find f'(2).

A:

Q: The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and…

A:

Q: x²+1 Find J+3x+1 11.

A:

Q: State where the power series is centered. (-1)"(2n – 1) „n Σ * 2"n! n = 1

A: Solving

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A: Consider

Q: Use the chain rule to find the derivative of: cos(7 + 8x)

A:

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

A:

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

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A: Solve the following

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A: To find the matrix A.

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A: