Find parametric equations for the line that passes through the point (−5, 5) and is parallel to the vector <6, −8>.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x4 cos(²) X→0

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Q: 66. Physics The path of a diver is approximated by www. = -x² + x + 12

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Q: Evaluate the integral. (Use C for the constant of integration.) esin (9t) cos(9t) dt

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Q: A graphing calculator is recommended. For the limit lim (x³ - 3x + 3) = 21, illustrate this…

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Q: Section 4.3 Find the derivative of the following functions. Write in ready format first if…

A: 1) The given function fx=5e7x. We have to find the derivative of the function. Note:  Since you have…

Q: 8. a. Find all values of a such that the function is continuous for all values of x. f(x) = { = {2 4…

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Q: A street light is at the top of a 14-ft-tall pole. A 6-ft tall woman walks away from the pole with a…

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Q: Consider the function below. f(0) = 2 cos(0) + cos²(0), 0≤0 ≤ 2π (a) Find the interval of increase.…

A: Solving the three subparts,

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 6. Evaluate the following limits, using an answer of +∞ or -∞ whenever appropriate. 3x - 2 a. lim…

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Q: Use the hypothesis V= y² and u=X To Solve the differential. equation (2X² + ³²-7) x dx (3X³² +…

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Q: 1 cos5 (25x) sin³ (25x) dx =

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Q: 36. Prove that lim √ [1+ sin² (2π/x)] = 0. x+0+

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Q: 1. ƒ (x) = 10x² + 6x f 7

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Q: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet after t seconds is…

A: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet  after t seconds…

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2. * 1 A)x= ²/3 Find the Value of x 162x-3 = 4x+2 B) x = 1 O A О в О с O D O None of the Above 8 C)…

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Q: Consider the following augmented matrix for a linear system. Determine the value(s) of h that will…

A: A detailed solution is given below.

Q: 10. Find each limit if x→∞0 a) lim 3-2x 3x x² + 3x-18 (x-9)² b)lim- 7 x +31 c) lim(5x +4--

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Q: Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) =…

A: To find the unit tangent vector and the curvature.

Q: 3. * Find the Solution Set 42x+7 322x-3 [29 29 29 1) ²00₁ +00) B) - ²00₁ +00) () (-00, ²00) D) (²3,₁…

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Q: 20. . Kenneth wants to have PHP 5,000,000 in his account when he retires in 25 years. The retirement…

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Q: Which formula below represents the arc length of the curve y = f(2x) between x = a and x = b? - 2b…

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Q: Question 1 (a) lim (x² - 1)(x + 3) X→4 x²+7 X→-1 2x+5 (b) lim (c) lim Evaluate the following limits:…

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Q: Differentiate the function G(x) = 7x−7 + 5x−⁹. Answer G'(x) =

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Q: The graph of the derivative f" of a function f is shown. y = f'(x) A (a) on what intervals is f…

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Q: Write the equation for the graph of g(x) as a transformation of the equation for the graph of f(x).…

A: Write the equation for the graph of gx as a transformation of fx in the form of y=afbx-h+k

Q: Use the graph to estimate the slope of the tangent line to y = x at the given point. Verify your…

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: 19. Zigrich deposited half of PHP 180,000 in a rural bank paying 5% interest, How much will Zigrich…

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Q: Let f(x) = 3x²16x + 16 3x² + 7x + 2 This function has: 1) A y intercept at the point 2) x intercepts…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (x + h)³ – x³ h lim h→0

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Q: Consider the function y = (− 3x – 4)2. Using the values x = − 7 and △x = 0.4, calculate △y − dy.…

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Q: 19-22 Find a + b, 4a + 2b, |a|, and | a - b |. 19. a (-3, 4), b = (9,-1)

A: (19)a=-3,4b=9,-1

Q: 9. * Find the Solution logx16 = 2 O 4 O 8 O -4 O 16

A: We have given logarithmic equation  logx16=2 16=x2 x=16 x=4 x will be positive.   x&gt;0  x=4

Q: The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w) =…

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Q: Let g(x, y) = (x - 5)² Graph the boundary of the domain of g below. 71 6 16 5- 4+ 3 2 1 -7 -6 -5 -4…

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Q: Select all of the following graphs which represent y as a function of x.

A: We perform vertical line test in order to check whether the given graph is a function or not.    In…

Q: Find the second derivative of y with respect to t in this given equation: 2t² 2y + 3t² 8 3 (A) 2t-3…

A: given  2y+3t2=2t33-8dtndt=ntn-1d (constant)dt=0

Q: After t seconds the displacement, s(t), of a particle moving rightward along the t axis is given (in…

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Q: 6. * A. x = 3 — 32 Solve for x 2x-3 (-) B.x x=²1/9/20 C. x = = (2,187) x+4 O A О в О с O D O none of…

A: We have find x from the given problem.

Q: x² e√x³+1 dx √x³+1

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Q: Formulate a system of equations for the situation below and solve. A manufacturer of women's blouses…

A: A manufacturer of women's  blouses makes three types of blouses: sleeveless, short-sleeve, and…

Q: 16. Andrew deposited PHP 130,000 in a * certificate of deposit (CD) paying 4% interest, compounded…

A: Let P = principal amountt = time r = rate of interestA = amount after t A = P( 1 + R100 )t

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

A: Given: Sum: 1+2+3+...+23

Q: Find all antiderivatives of the following function. f(x) = e3x frox) dx =

A: Given function:- fx=e3x

Q: 18. A loan of PHP 75,000 with 3.5% interest rate compounded semi annually, will be paid in 2 and…

A: Given principal ( P ) = 75000 Rate ( R ) = 3.5 % compounded semi annually time ( t ) = 2 and half…

Q: Consider the differential equation: dy 9x² dx 9y² - 3 y(2) = 0 A) Solve the differential equation.…

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Q: Calculate the definite integral. 5 1/5 3 3 5 S 1/5 (Type an exact answer.) dx = dx

A: Given definite integral ∫1553xdx

Q: The figure below to the left is a graph of f(z), and below to the right is g(x). -0.5 -0.5 0/5 What…

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