Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5x 1 lim x→0.2¯ 15x³ – x²1

Q: Evaluate lim I-1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

A: To find the limit of the function.

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: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

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: 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: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √√0.4² +2,…

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Q: dy Find given that dt x² + y² = 3x + 5y, x = 4y= 1, and dy dt dx dt = 12

A: Topic = Derivative

Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) a = ya (a) At…

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Q: I can't see all of the work, It is cut off. Please evaluate again and show work. Thank you.

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Q: K Solve the initial value problem. dy=3-2² =3-²¹, y(1) = -2, y'(1)=2

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Q: For y²exy = 9e-³x², find y'at x = -1, y = 3 A-6 B 312 Ⓒ15 D 312

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

A: we need to find out the interest by using the compound interest formula.

Q: Solve the general solution of the following: A. (4D^5 - 8D^4 - 17D^3 + 12D^2 + 9D)y = | I

A: As per guidelines we can solve maximum 1 question at a time. Please repost the other question and…

Q: 21. lim t→0 e5t t 1 t = ±0.5, ±0.1, ±0.01, ±0.001, ±0.0001

A: We have to find the limit limt→0e5t-1t, using the given values.

Q: Find an equation of the tangent line to the graph of f at the given point. y = x³_ - 2x + 1, (2,5) y…

A: We need to find equation of tangent.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³6x²-15x +4

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Q: Find the indicated one-sided limits of f, and determine the continuity of f at the indicated point.…

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Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: f(x) = x4…

A: We need to find inflection point.

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =…

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Q: The following table shows the fuel efficiency, in miles per gallon, for all U.S. autos since 1940.…

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Q: A) Solve: y-y=3

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

Q: Find the volume of the solid obtained by revolving y(x) (Use symbolic notation and fractions where…

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Q: 7x+4 = 492x-1

A: Given 7x + 4 = 492x - 1

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: Let m be the mass attached and let k be the spring constant. The Newton's second law for the system…

Q: Problem #4: Determine the sum of the following series. 256 + 90 Problem #4: +1+ + 16 +16245 +...…

A: Given :2516+54+1+45+1625+64125+...

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -6 x…

A: Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of…

Q: 17. x = 1 - y², x = y² − 1

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Q: 2 Find the average rate of change of g(x) = -3x²+1 from x=-4 to x = 1. Simplify your answer as much…

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Q: Find k so that f has a relative extremum at the point where x = 8. k √ ( x ) = x² + 4/2

A: Given,           The function is fx=x2+kx and f has a relative extremum at the point where x=8.To…

Q: Suppose the coefficient matrix of a linear system of eleven equations in eleven unknowns has 11…

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

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Q: Wheat is poured through a chute at the rate of 22 ft3/min and falls in a conical pile whose bottom…

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Q: intergrate (ln(x^2+x)/2x+1)dx

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Q: f(x) = 523 -5x + b if r ≤ 9 if x > 9

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Q: Find (f + g)(x), (ƒ − g)(x), (f · g)(x), and (4) (x) for each. 1. f(x) = x² + 4 g(x)=√x 2. f(x) = x²…

A: Given function:- fx=x2+4 ,gx=x fx=x2+x,gx=9x

Q: Find the derivative of y=- A B C D tan 2x sec 3x - 2sec ² (2x) + 3 tan(2x) tan (3x) sec (3x) 2sec…

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Q: Find the first and second derivatives 1 6 584 5s = 3 4s

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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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Q: Let f(x)= This function has: 1) A y intercept at y= A = 2) Roots at A and B, where A < B B = = 2x² +…

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 3x²-3x+5. b) Complete…

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Q: True or False log32x² = log32 + 2log3x O True

A: We are asked to find the true or false

Q: Determine whether f'(0) exists. 0= {** 0 f(x) = x sin (5) O f'(0) does exist. O f'(0) does not…

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Q: Find f. f(x) = f (x) = cos(x), f(0) = 3, f'(0) = 6, f(0) = 7

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Q: Find the differential of y = e ³²cos3z (A) dy=3e-32 cos3z B) dy=-3e-32 (sin3z + cos3z) dy = -e-³²…

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Q: Use the second degree Taylor polynomial of f(x) = about to approximate your answer as a single…

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Q: The population ( in hundreds) of fish in a pond is given by P (t) = 2t+sin(2t - 10) t months from…

A: By the Bartleby Authoring Guidelines, we can answer only first question in case of multiple…

Q: Use any method to find the relative extrema of the function f(x)= |5 – ?|. NOTE: Enter the exact…

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Q: Waluate |(x^²)² +1 (D) H T лученн 3. Consider the function f [-1, 3] → R defined by f(x) = x². : A.…

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Q: Sketch the domain of f(x, y) = √4x² - y² x - y² on the ry-plane.

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Q: If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground…

A: We need solve velocity problem.