Question 4 of 4 y = (x³ – 3x²)(x² + 4.x + 2)®

Q: I. Evaluate the following Definite 1.) Sº 6x³+4x²-8x 1.) L,º 2x 3) (3 sin3(x)dr

A: According to rules.. I  need to solve 1st question

Q: Find a Taylor Series for the function about x = 0. F(x) = In(3 + 4x) %3D

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Q: Need

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Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 6tj – 6ik) dt

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Q: x 1 What is lim f(x)? x→-1 O 3 O 4 O 2

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Q: Solve the differential equation Bernoulli Equations: dy + бу — Зху3 dx 4 3xys

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

Q: Evaluate T COs(T-a)-sin 글(ㅠ- z) - ㅠ lim T - x

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: The given curves area; y=x3, x=0, y=27   So, the bounded region is as shown below. Apply the…

Q: 8 – a? if – 2 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

A: Given problem:-

Q: Determine the equation of the tangent plane and normal line to the surface at the given point.…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: I. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) f'(x) lim = lim Equation 1…

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Q: 2. lim (e* – 1)lnx X0+

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Q: y = 3x - x² and y = 2x %3D

A: See the details solution in below

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: 2) Find and of the following equation then simplify whenever possible. d²y dx dx² x = Cos ß + Sin ß…

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Q: Evaluate the integral. 9. e dx -6

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find «(t). r(t) = t’i + t°j %3D 126 t5 K(t) (4+…

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Q: Which integral corresponds to the area of the shaded region between the curves y = |a² – 4| and y =…

A: To find the area of the shaded region.

Q: 3. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1…

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Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

A: Given:    a)   Curve y=x3-x2-2x Curve cuts the x-axis at           x3-x2-2x=0           xx2-x-2=0…

Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Find the partial derivative. revIlzy

A: We can find the partial derivative as below.

Q: The position vector r describes the path of an object moving h space. Find the velocity v(t), speed…

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Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Use Green's Theorem to evaluate the line integral. | y? dx + xy dy C: boundary of the region lying…

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Q: Solve the differential equation Integrating Factor by Linear Equation: dy — у — 5х* — Зх? + 2х — 0…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: O f(-1) = 3, lim f(x) = 3, lim f(x) = +∞ O f(-1) = 3, lim f(x) = -o∞, lim f(x) = +o0 O f(-1) = 1,…

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Q: (x² + y2 + x)dx + xydy = 0 %3D

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Q: b. Vr4 – 2.x² + 1 dx

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Q: 6. lim (sinx)*

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Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

A: Given query is to find the the integral for the area of shaded region.

Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: Find fyry. f (x, y) = x°y® – 8a°y+x f yry ||

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Q: Find div F and curl F if F(x, y, z) = 7e*Y i – 6 cos yj+ 10 sin? z k. - div F= curl F=

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 +…

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 r(t) = t'i+ t®j 30 t3 K(t) V4 + 25…

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Q: given poim arctan(2) f(x, y) = arctan (4, -4) f(X, y) = x, ) = (4, -4) = (4,-4) =

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Q: Calculus Question

A: Matrices

Q: हम - (2) / हर्े 3

A: We can solve the given problem as follows:

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

Q: Take

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Q: 6. Evaluate - x4 dx by making a substitution and interpreting the resulting integral in terms of an…

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Q: if x 1. z +1 Given f(x) = 2x 1 Then, lim f(x)%= 2+1+ O does not exist O 2 0 1

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