Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the output value of the function at x=3 is 11, estimate the value of the function at 3.012.

Q: Given the function below 3 25 g(x) = X x+1 Which of the following leads to the solution of the…

A: Topic = Function

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: and all functions that have a derivative functions have the form 0

A: Topic:- application of integration

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

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Q: Let h(x) = f(g(x)). If ƒ(−4) = −3, ƒ' (−4) = −1, g(1) = −4, and g'(1) = 3, find h' (1). Do not…

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Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

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Q: (d) Show 1. Given the following table of values, find the indicated rivatives in parts (a) and (b).…

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Q: Find the equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: 9 Find the with a area of the parallelogram Verticles vertices; PC0,0,0), QC3₁=3₁-9), R (3₁-1₁-²5)…

A: I am attaching image so that you understand each and every step.

Q: 10 π/2 sin1/5 0 cos Ꮎ dᎾ

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Q: Suppose a product's revenue function is given by R(q) - 4q² + 500g, where R(q) is in dollars and q…

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Q: For the given cost function C(x) = 12100 + 300x + x² find: = a) The cost at the production level…

A: We are allowed to solve the first three subparts of the question. If you need the rest of the…

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

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Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

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Q: 3 Find y" if y=4x° +3x³ −8x³ +6x² +15

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Q: sec²0-tan²0+ tan0 sec = sine + cos 0

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Q: The function f(x) = 2x³ − 33x² + 108x - 7 has two critical numbers. X = (enter the values separated…

A: Topic- Application of derivatives We are given, f(x)=2x3-33x2+108x-7we know that critical numbers…

Q: Linear

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Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

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Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: The function f(x) = 2x³ − 33x² + 168x + 7 has one local minimum and one local maximum. Use a graph…

A: Topic - local maximum and minimum value of a function. note: as per battleby guidelines, We are…

Q: Write the equation 4x² - 25y²-2² - 100 = 0 in standard form. Draw a sketch of its graph and name the…

A: Please see the below pictures for detailed solution.

Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e¹*…

A: I am attaching image so that you understand each and every step.

Q: If f(x) = In(x) +6 find f'(1).

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Q: region

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Q: Given the given cost function C(x) = 7550 + 780x + 1.7x² and the demand function p(x) = 2340. Find…

A: Find the profit function using the given functions for x units

Q: Find the equation of the line tangent to the curve x4 + 4y4 = 5 at the point (1, 1).

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Q: Differentiate. y' = || Y = 7-tan(x) y X

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Q: x-9 3 =1 solution set =

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Q: H.W: Salve the following equations.... 一乂 3. H .... Je A zAyf. (X² 3y)...........

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Q: 2x +3 x:²-9 da

A: To evaluate the given integral.

Q: Q3 Calculate the area of the shaded region in the given figure y Focus point Parabola curve P- 2p 8p…

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Q: The vertical displacement of a particle attached to a spring is governed by the following second…

A: NOTE: Refresh your page if you can't see any equations. . here we have   for the homogeneous…

Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

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Q: 2-x 2 +5 1 dx

A: Given, ∫2-xx2+5xdx

Q: Find the differential dy and evaluate dy for the given values of x and dx. a) y = arccos x, x =…

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Q: 50. y = x¹/x

A: To find : Derivative of the function y=x1x Take logarithm to both sides, we get logy=1xlogx …..(1)

Q: Find the value of c so that the equation lim x →-1 Oc=4 O c=1 Oc=-2 Oc==3 sin(x²–2x+c) x+1 = - 4…

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Q: Find the inverse Laplace transform £¯¹{F(s)} of the function F(s) L-¹{F(s)} = = = 8 (s — 5)³ NOTE:…

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Q: Find ged(1326, 819) using the Euclidean algorithm.

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Q: Find the points on the curve y = x³ + 3x² - 9x + 9 where the tangent is horizontal. (x, y) = smaller…

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Q: In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plans of…

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Q: Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin…

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Q: The function is neither increasing nor decreasing. (x)=x+5x+3 O False

A: Topic:- function And application of derivatives

Q: 3. Given the function f(x) = -log₂ (x + 1)-2. Do the following. a) Determine the parent function and…

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Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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Q: Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2] by…

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Q: 238. [T] sin(x)y + cos(x) = 2x 239. [T] √x² + 1y = y +2 240. [T] xy+2r2y=x+1 Solve the following…

A: To solve Differential equation.

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x)=6x^2−24x+2  the…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the standard…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform