Consider the function: f(x)=7x+1 Step 2 of 2 : Find the value of f(a+5)

Q: Find the gradient of the function at the given point. Function Point f(x, y) (7,3) Vf(7, 3) = 15 2 x…

A: Please see the below picture for detailed solution.

Q: Graph all asymptotes of the rational function. f(x)=-x2-2x+4             x+3

A: We need to graph the asymptotes.

Q: 2) Use the DISC or WASHER method to find the 3 volumes defined by y=x" and y = x, as described below…

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Q: The linear approximation at and where B is: = 0 to sin(4x) is A + Bx where A is:

A: NOTE: Refresh your page if you can't see any equations. . the given value of x is x=0 so the…

Q: Solve the initial value problem dy/dx = x^2+3+e^2x, y= -1 when x = 0

A: dy/dx = x^2+3+e^2x, y= -1 when x = 0

Q: Question Estimate (4x² + 3) dx using the midpoint rule and 4 subintervals. Enter an exact value.…

A: To evaluate: ∫024x2+3dx Let fx=4x2+3 Now, interval is from 0 to 2 We have 4 subinterval, therefore…

Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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Q: Consider the function f(x)=x3−5x on the closed interval [−3,1]. Find the exact value of the slope…

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Q: Let f(x) be a function. The average rate of change between = a and * = b is equivalent to: O The…

A: From the given statements, we have to find the equivalent meaning.

Q: Solve the differential equation. dy dx 6x²y² for y # 0

A: Note : As per our Guidelines , we can solve first question .Please Repost remaining question .

Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

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Q: Consider the integral 5 Š x√x If the integral is divergent, type an upper-case "D". Otherwise,…

A: NOTE: Refresh your page if you can't see any equations. . here the function is

Q: Identify the differential equation that produces the slope field below. Y 3 2 1 -1

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Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: Given the implicit curve arctan(x² − y) + sin(2x + y) = xy + 8, find the tangent line at (-2,4).

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Q: Determine by integral test the convergence or divergence of the series Σ √n+4

A: The given series: ∑1∞1n+4.We need to check the convergence of the series using integral test.

Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: Find the derivative of f(x). f(x) = 8x² sin(x) f'(x) =

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: = The doubling period of a bacterial population is 15 minutes. At time t population was 90000. What…

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Q: 1. [e²y ycos (xy)] dx + [2xe²y xcos (xy) + 2y] dy = = = 0

A: According to guidelines I can only solve first question ,rest can be reposted.

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

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Q: Consider the graph of y = f(x). -8-7-6-5-4-3-2-1 " (b) lim f(x) = 112 (c) lim f(x) = *→-2+ Do cy m…

A: find the limits from the function graph

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A: Part_a_ r1=5t, 2t-1, 2t-2 and r2=t-7, -t+6, t-9   First rewrite both the equation in different…

Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 75 minutes,…

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Q: tan(x) = 12 x in Quadrant II

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IL VE - dy dx

A: ∫141 ∫x8x xydydx

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

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Q: For the function f(x) = -3 sin(x two periods. Enter the exact answers. For the number 7, either…

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

Q: Graph the trigonometric function. sec Start by drawing three consecutive asymptotes. Then plot two…

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Q: Consider the following LP CPF 1 Minimise subject to CPF 2 Determine the feasible corner point…

A: The given LPP, Minimize: 4x+7y Subject to, 5x+2y≥163x+7y≥27x≥0, y≥0 We have to find the feasible…

Q: Below a student uses the Substitution Rule for a definite integral incorrectly. -4½/2 √x√1-x²dx 71-7…

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Q: Suppose that f(x, y) = 4x² + 4y¹ − xy

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Q: Find the derivative and simplify where possible for the following: a) f(x) = tanh (1 + e2x)  b)…

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Q: (a) For what values of r does the function y = ex satisfy the differential equation 7y"+ 20y' - 3y =…

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Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

Q: I. The daily temparature high can be modelled by the formula T(t) = 57.5 22.5 cos(2πt) where T is…

A: The daily temperature high can be modelled by the formula                  Tt=57.5-22.5cos2πtwhere T…

Q: Find an equation of the sphere that passes through the origin and whose center is (1, -6,8). =0 Note…

A: We need to find equation of sphere.

Q: 3. Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

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Q: what is an improper integral?

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Q: Find an equation of the tangent plane to the surface at the given point. y (1, 9, 9) f(x, y) = −9x +…

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Q: On one production line in a small custom chip factory, marginal costs decrease rapidly as more chips…

A: Given Marginal cost function:- C'x=201+0.04x

Q: finding the 4th derivative of f(x)=ln(3x+1

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Q: An unknown radioactive element decays into non-radioactive substances. In 480 days the radioactivity…

A: The decay formula: Nt=N0e-λtwhere Nt=Amount of substance left after 't' days            N0=Intial…

Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: Find and simplify dy da 3x²-4 522+7 y = ( 3 5

A: On solving this we will get

Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: The number of bacteria in a culture is given by the function n(t) = 915e⁰ 0.35€ where t is measured…

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