How?! e den -e-x ex 2.

Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

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Q: 2. Find the area of the region bounded by y =x-1and y 3– x. Sketch the graph. Hint: Use vertical…

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Q: Determine whether the improper integral diverges or converges. 0. 8x xe dx -o. converges O diverges…

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Q: The function f(x) = - 2a3 + 36x2 192x + 8 has one local minimum and one local maximum. This function…

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Q: (5x2 – y²) dx + 2ydy = 0

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Q: ||r'(t) × r"(t)|| ||r(t)||³ Use the formula k(t) to find k(t). r(t) = 2 cos(4t)i+ 2 sin(4t)j + 9tk…

A: We have to solve k(t)

Q: 19. What is the seсond derivative of y бх* - 3x1 + х2 -57 а. у 24х1 — 9х2 + 2х b. у"3 144х — 18 с.…

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Q: 2x² +2y? 11. Set up an integral that would calculate the volume of the solid bounded by the…

A: Given problem:- 11. Set up an integral that would calculate the volume of the solid bounded by the…

Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the definite integral (cos(t), sin(t))dt

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Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: h(x) = (5x-1 d) m(x) = (4x² – 9x} %3D

A: Product rule of differentiation: u·v' = u·v' + v·u'   ddxxn = n·xn-1 ddxf(x)n = n·f(x)n-1·f'(x)

Q: sin (xexz +3y5+3x"-x 3

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Q: Answer as directed. 1. it is convergent, evaluate it. Determine whether the improper integral is…

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Q: 3/xyy' = 5

A: We have to solve the differential equation  3xyy' = 5.

Q: (2x – 3y) dx + (2y – 3x) dy

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Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

A: Given: x=2u4-u3+u-11, y=5u3-4u2-7u+2     As we know that; The Power rule; ddxxn=nxn-1 The Quotient…

Q: Find the extrema for F(x) = x*/x+1 on the interval [-l]

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Q: Given Sla- 3| 3 x – g(x) = What is lim,3- 9(x) ? x- 9- O O 1 O -1

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Q: Find the curvature of r(t) = 5(cos t) i + 12(sin t) j + tk at t = m/2. Ok = 8/13 Ok = 5/13 O k =…

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Q: 3 - (3x + 3ry')dx - (3y - 2y - 3xy)dy = 0

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Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

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Q: Match the vector field with its graph. F(x, y) = yi -6+ 世 -5+

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Q: Determine whether the improper integral diverges or converges. In x xp O converges O diverges…

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Q: f(x) = (-3x³ + 4) 7, which of the following is f'(x)? f' (x) = 63x² (-3x° + 4)-8 - f' (x) = 63x(-3x…

A: Topic:- derivatives    Using  Derivatives of x^n = nx^(n-1)

Q: Solve the initial value problem y′′−6y′+9y=0 for y(0)=1 and y′(0)=3. After getting the particular…

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Q: Sol V= cotcex) dx /2

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? +7 1 lim t++0 6t2 + 7't (?, ?)

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Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

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Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

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Q: Find the standard equatron of the sphere with the given chara ct eristics center:(-1,7 9) radius: 6

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Q: Solve the given differential equation by undetermined coefficients. y'' + y = 5x sin(x) y(x) =

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

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Q: Find all first and second partial derivatives of the following function: f (x, y) = e*Y + y sin x.…

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: csc(6x) 7. lim x- csc(2x)

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Q: 10 sin () sin(a da

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Q: Find the equation of the tangent line to the graph of y = -2x° + 6x? – 5x + 10 at the point (1,5) in…

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Q: x2 - 6x + 8 lim X 2 X - 2 1

A: The objective of the question is evaluate the limit.

Q: Determine whether the improper integral diverges or converges. In x converges O diverges Evaluate…

A: Here we have to determine whether the given improper integral diverges or converges.

Q: Peaive marima and, minima, 4 any tar the funchno If there is not an answers write N/A Wde ms wefs as…

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Q: Given f (x) = x³ + x² + x + 1 and its derivative f'(x) = 3x² + 2x + 1, find the equation of the…

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Q: Solve the initial value problem y′′−10y′+50y=0 for y(0)=1 and y′(0)=5. After getting the equation…

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Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: Evaluate F. dr. F(x, y) = 7xi + 8yj C: r(t) = ti + V4 - t²j, -2 sts 2

A: Use line integral concept

Q: Consider the function y-2+3x² -x³ a) Find the intervals on which this Punction is increasing or…

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Q: Use the graph of the function f(x) shown below to evaluate lim f(x). x 3+ 3 2 3 O 3 O 1 O DNE 2.

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Q: A particle is moving in a straight line according to the position function s(t) = t° – 6t2 +9t + 5,…

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Q: Given f(x) = 3x2 – 24x + 15, a. Write f(x) in standard form. b. What is the axis of symmetry of…

A: Given query is to write the standard form and find symmetry.

Q: 5 4 3 1 T1/2 3π/2 -1 -2 -3 + -4 -5 The graph of the function f(x) = cot x is given above for the…

A: Solution is given below: