Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2 ex cos (yz), Po(0,0,0),…

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Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

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Q: 3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -&…

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Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: the amplitude is the only incorrect answer

A: Solution :- By compare standard cosine function y= Acos(Bx-C)+D

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: 7.Find of z = 2x³-5xy² a²z xy

A: Use partial derivative for finding the unknown

Q: Find lim f(x) and lim f(x) for the given function and value of c. f(x)=(x+4) |x+31 X+3 C-3 lim (x+4)…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: A circular swimming pool has a diameter of 12 m, the sides are 3 m high, and the depth of the water…

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Q: Consider the functions z= - e* Iny, x= In (u cos v), and y=u sin v. əz dz a) Express and as…

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Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

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Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[3ƒ(x)² – 4g(x)] = −4 *G O True O False

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Q: √√√x ²-1 d For the integral What is the re-write of this integral? Ⓒ / - A z² dz 2(z² + 1) B…

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Q: 2) 1 Vl-x dx

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Q: O -2 -2 Convert the given polar coordinates to rectangular coordinates. (x, y) = (b) Graph the point…

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Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

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Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

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Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z) = xy + yz+zx,…

A: Given query is to find direction derivative.

Q: Convert the following point from cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 3x 6-X. x4. a.…

A: Given function, f(x)= 6-x, x&lt;4        =3x/4 +3, x&gt;4

Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: Set up the integral, given area enclosed bewteen curves y= x^3 + 2x^2-8x and y = -x^2 + 2x

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Q: Y Calculate y'. Simplify your solution. (x² + 1)² (2x + 1)² (3x − 1)5

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Q: Test: Test 2 (11 problems) In the following problem, begin by drawing a diagram that shows the…

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Q: Plot the point with the given polar coordinates. 11π 11) 12 T 3 57 6 H 77 6 47 3 2n 3 K|2 3πt 2 TU ✓…

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Q: A company produces a special new type of TV. The company has fixed costs of $461,000, and it costs…

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Q: Find an equation for the plane y=3x in cylindrical coordinates.

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Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Given query is to find where f is increasing and decreasing.

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl (1,2,2)=(i+₁+O (Type integers or simplified…

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Q: NA AN 4 » *K 0

A: We have to graph the hyperbola

Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= - 16t²…

A: Velocity

Q: Let f'(x)=(x-1)(x-3). Then f is increasing on a) (-∞,1]U[3,0) b) (-0,2] c) [1,3] d) [2,00)

A: Let f'x=x-1x-3

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: •√√x + 2 Evaluate -dx using rationalizing substitution. Which of the following statements is…

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Q: 3. f(x) = = 3x² x² x+5 4

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Q: Q1. Evaluate the integral S dx (x + 1)(x² + 1)

A: We need to evaluate the following integral ∫01dxx+1x2+1

Q: show that if y=x/tan(x) then y'=cot(x)-csc(x)

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Q: 7.Find of xy of z = 2x³-5xy²

A: To find ∂2z∂x∂y for the given function z=2x3-5xy2

Q: Compute. 13 Σκ k k = 0

A: We have to find out  sum

Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

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Q: A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes the…

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Q: Write an equation for the transformed logarithm shown below 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 5 f(x) = N…

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Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: 3. Reverse the order of integration in 24e² dydx and then evaluate the integral with the new limits

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