Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We have to find the value

Q: Let f(x)= = z+1 x³2x² + x

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Q: 20 y = g(x) 10 0 20 35 stooral by interpreting it in terms of arosc X O

A: Area above x axis is positive area below x axis is negative

Q: Use Cramer's Rule to solve this system of linear equations for y only: 2x - 4y - 2z = - 4 4x + 3z =…

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Q: ex csex ex

A: Use integration by parts formula.

Q: dy Given the equation below, find 21x + 2x¹¹y+y³ 24 dy da Now, find the equation of the tangent line…

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Q: Write the equation of a sine or cosine function to describe the graph. 'y 0 2π 2π 3 7 6+ 5 4 3 2 2π…

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Q: or each of the following integrals, indicate the trigonometric substitution that could be used to…

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Q: Itiple 1. Which of the following is the maximum value of the function f(x)=2 sin.xcos.x? a. 2 c. √3…

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Q: Evaluate the definite integral by interpreting it in terms of areas. 8 (4x - 24)dx stion

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Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

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Q: Find the following using the table below. X 12 3 4 f(x) 3 1 4 2 f'(x) 4 1 2 g(x) 2 4 1 g'(x) 2 3 4 1…

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Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…

Q: 17 m K 19 m hm 9 m Part 1: Part 2: Part 3: Part 4: Let h be the height of AJKL. Find the length of…

A: To find the area of triangle, height etc..

Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: 1.57 1 (1.5,2) (-0.7,02) (0.7,0.2) -1.5 -0.5 1 1.5 --0.5+ -1.5 Where does f have absolute minimums?…

A: Recall:  In graph, y-coordinate at the lowest and highest points are called the absolute minimum and…

Q: As shown in the figure below, Isabel is looking at a tree that is leaning at an angle of 87° with…

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Q: f(x)=e*; at (0,1)

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Q: Answer (A) & (B) A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x siny) dy…

A: Integrating factor of the differential equation: Consider  Mdx+Ndy=0 be the differential equation.…

Q: Solve the inequality R(x) <0, where x-3 R(x) = x(x-4)' function. 4- 2- , by using the graph of the 6…

A: Here we have to find the inequality by using the graph.

Q: Full Solutions 1. CHOOSE ANY TWO of the following problems and determine i) the Optimization…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Use the table below to answer questions 8 and 9. x 1-3 4 f(x) -3 1 -2 f'(x) 5 -1 6 g(x) 4 7 -3 g'(x)…

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Q: Given the functions: Find: f(x) = 3x - 5 a. f(g(x)) g(x) = x² + 2x - 1 b. (f(h(x)) c. f(g(-1)) h(x)…

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Q: A) ( This problem consists of two parts. Evaluate the following indefinite integral 5 TVER _ln(x+1)…

A: To evaluate: ∫51-x2+x21+x3+lnx+1x+1dx Let I = ∫51-x2+x21+x3+lnx+1x+1dx I =…

Q: Use the given derivative to find all critical points off, and at each critical point determine…

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Q: 8x³ + 4xy - y³ = 1

A: Given :

Q: Find the area of the shaded region. r = √cos 20 r = 5 cos 0 NOTE: Enter the exact answer. A

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Q: 12. A company is constructing a cylindrical can for a new product. They want to keep the cost of…

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Q: 3) f cost x dx بعة

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Using herons formula

Q: Find the absolute maximum and absolute minimum values off on the given interval. (Round all answers…

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Q: (r2 – 4xy – 2y2) dx + (y2 +4xy – 2x2) dy = 0 - Solve

A: To solve the differential equation.

Q: lim (x² + e-z)(z-¹ csc z) +0+*

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Q: x2 – 4xy – 2y2) dx + (y2 + 4xy − 2x2) dy = 0

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Q: A ball is thrown vertically upward from the ground with an initial velocity of 64 ft/sec. If the…

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Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

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Q: A-3i6j+2k B = -8ż+4j - 10k D = −9i – 3j - 7k C2i 3j+ 9k ming the 4. If G=Bx (A × D) and H = (A × C¹)…

A: G=B×A×DSubstitute A=3i-6j+2k and…

Q: T: P2 P₂ defined by T(a + bx + cx2) = a + b(x + 8) + b(x + 8)² Find the following images of the…

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Q: Write √x+y²+2x-y=3 +y²+2x−y=3 as a polar equation r = f(0).

A: Write in Polar equation

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We need to find slant asymptote.

Q: Consider the following matrix. -2 0 1 A = 1 -1 0 -1 -21 Choose the correct description of A. -1 Find…

A: Given matrix is  A=-2011-10-1-21 A matrix is non singular if determinant of the matrix is  non zero…

Q: Find sin 2x, cos 2x, and tan 2x if cos x = sin 2x = cos 2x = tan 2x = 0 X 3 and x terminates in…

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Q: el Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t+ 2)i + tj, 0 ≤ t ≤ 1

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Q: the z-axis is shaded. Figure 1: Graph of y = f(x) over [0,4]. t * f(x) dr = 16/3, [*f(2) dx = 37/12…

A: Given query is to find the value fi the integral.

Q: s dx x+√2x+1

A: Let  2x+1=u ⇒dudx=12x+1 ⇒dx=2x+1du also x=u2-12  ∫dxx+2x+1=2∫uu2+2u-1du…

Q: 1 Rewrite the logarithmic equation log4 16 -2 1 Gr= 16 04² = 21/160 4-2 4²/16--2 416 = -2 4-2= O O =…

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Q: S COSA Sin 2X. C dx

A: We have to find integration

Q: 6) Given the function y = x³ - 3x. Find all the critical points, any local maximum or minimums, the…

A: 6)y=f(x)=x3-3xf'(x)=3x2-3f'(x)=0x2-1=0Critical points of f(x)     x=-1, x=1f'(x)=3(x2-1)f'(x)&gt;0…

Q: yzdxxzdy + xydz =

A: