Find the given limit. ²-2 4-x lim X--4

Q: Find the derivative of the function y = 3 tan-¹ (15x). (Use symbolic notation and fractions where…

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Q: Consider the function. f(x) = x+6 x + 5 Step 1 of 2: Find all values of x that correspond to…

A: f(x)=x+6x+5for horizontal tangent line f'(x)=0dxndx=nxn-1d dx(ab)=b×dadx-a×dbdx(b)2

Q: Let f(x)=x^−2.  Use the definition of the derivative to find f′(2).

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Q: Consider the function. f(x) = Answer How to enter your answer (opens in new window) Separate…

A: Given function:- fx=x+10x2

Q: 52 48 44 40 dv The function v= 49 is a constant solution. when v>49, the solutions are stable. 1 10…

A: Given the direction field and the equilibrium solution for  dvdt=9.8-15v

Q: Solve Tog log(x-2) -log(2x-3) = log₂ (x-2) (2x-3) = log₂

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Q: 13. Reginald is planning to fence his back yard. Every side of the yard except for the side along…

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 104 9 8- 7- 6- -5- -4- 3-…

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Q: point (-3, -6) by using the following parameters. (1) The tangent line to the curve y = f(x) at the…

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Q: Compute

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Q: Suppose the daily cost function for fridges produced at Friga's Frigid Fridges is represented by the…

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Q: Use the graph of y = f(x) to graph the function g(x) = f(x) - 3. -4 -2 y = f(x) Ay 4 2 Choose the…

A: Here we have graph of function f(X)   Then we have to find correct graph of    g(X)=f(X)-3

Q: The graph of a function f is shown. Which graph is an antiderivative of f? y a b C X

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Q: Given: sin = 4/5 and cos x = -5/13 ; evaluate the following expression. (: Quadrant I, x : Quadrant…

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Q: e the graph to find the following limits d function value. lim f(x) →3 lim f(x) lim f(x) (3) Find…

A: Given query is to find indicated limits.

Q: Find the derivative of y = 3x-1 x²+3/ 2 Simplify your answer.

A: Given query is to find the derivative.

Q: 3. If f(x) = a) f(-2) b) f(4) c) f(-1) (2x+8, x ≤ −2 (x² +5, x>-2' evaluate the function for:

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Q: Find the derivative of the function. f(t) = emt cos(nt) f'(t) = = X

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A: Introduction: A solid's cross-section is where a plane intersects the solid. Any solid that can be…

Q: Find all the values of such that the given series would converge. Answer: n=1 (x - 9)n nn

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Q: Let f(x) = lim f(x) 3 2x + 12 if x > -4 Calculate the following limits. Enter "DNE" if the limit…

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Q: 2.1) [.. 0 X (x² + 2)² dx; 2.2) So 1 x¹/2 d.x

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Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Tangent line Find the equation of the tangent line to the curve that is parallel to the line y =…

A: Given data : Tangent lineFind the equation of the tangent line to the curvef(x) = 2/7 x^3√x-xthat is…

Q: Approximate the derivative of the given function at the given point using small values of h. 1/x.…

A: Please see the below picture for detailed solution.

Q: Show all work and be at neat as possible. 1. A function f is defined as f(x) = 4x-5 x-8 a) State the…

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Q: The Demand function for Robots for you, Inc. model NTM612 is given by D(q) = -0.0003q² - 0.05g +…

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Q: Use the graph of y = f(x) shown to the right to graph the following function g. g(x) = -f - 1 (1 x)…

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Q: y = √√√x cos √x

A: Here we have to find the derivative of a function.

Q: 25. A spherical balloon is expanding, its radius increasing by 0.5 cm per minute. Find the rate at…

A: (25)  given radius increasing rate is 0.5 cm per minutegiven radius=40 cm A=4πr2we know drndr=nrn-1

Q: 2. Factorize the given matrix below using LU Factorization: Го [A] = 4 L2 2 31 6 7 -3 61

A: We can solve it by following method given below (rectangular part)

Q: 4 3 2 y (1,3) h ) = 4x-x² + XI 1 2 3 +* 4

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Q: Solve the following problems using either the Trapezoid Rule, or Simpson's Rule with N = 50…

A: Trapezoid rule, ∫abf(x)dx = △x2 {f(x0) + 2f(x1) + 2f(x2) + ... +2 f(xN-1) + f(xN)}where,△x = b-aNxi…

Q: (x5 + 3y)dx - xdy = 0

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Q: >]= 5 dx V25x²-9 (103 x > 5 BLUES

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: ) Graph f(x)=2x+3 a) What is the slope at x=1? b) What is the slope at x=3? c) What is the slope for…

A: Note: as per guidelines we support only first 3 subparts of the questions. Kindly repost next…

Q: Find the equation of the line tangent to the graph of y = |y=1.3956x +7.0847 9 In(x) at x = 3.

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Q: 3. 2(2x² + y²) dx - xydy = 0.

A: Given differential equation is 2(2x2+y2)dx-xydy=0

Q: Solve the Bernoulli equation: ry' = 6y + 12x¹y2/3

A: Given differential equation xy' = 6y + 12x4y23

Q: Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74 with the ground. What's…

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Q: Consider the function f(x) = 6x-9 on the interval [-7, 4]. Find the absolute extrema for the…

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Q: $1,000 invested at 7% compounded annually after a period of 11 years

A: Given $1,000 invested at 7% compounded annually after a period of 11 years

Q: Find an equation for the tangent line to the graph of the given function at (-4,14). f(x)=x²-2 Find…

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Q: √-3-x+2 Let f(x) = 2 if x -4 Calculate the following limits. Enter "DNE" if the limit does n lim…

A: Given query is to find indicated limit.

Q: yक (33)

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Q: Determine the integral J I = 6 x√√x²+4 dx. 1. ln ° ¹. 1 = − 3 lm | √²² + 4 + 2 | + 0 x 1 2. I = In ®…

A: To evaluate the given integral

Q: Determine the derivative of the function g(x) = (Inx) ¹⁹. Answer g'(x): ||

A: Determine the derivative of g(x)=(lnx)^19

Q: Let 5x+4 X+52 274 647415 CIRK Find lim elx), limp-xg+ Plx), limfx), lim,

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the critical points of the function. (x, y, z) = f(x, y) = (5x − 2)² + (y - 9)² 50,2 X

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Q: Evaluate the integral of sec^5(x)tan^2(x)dx using trig integrals

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