Determine the equation (in standard form) of the tangent to the curve defined by y parallel to the line y - 6x - 2 = 0. 3x = 2e that is

Q: Find the derivative. dy dx : if y(x) =√x2 + 8

A: The objective of the question is to find the derivative of the function y(x) = sqrt(x^2 + 8) with…

Q: Find f'(x). 15 f(x)=(3-4x) 15 f'(x)= ☐

A: We have to find the derivative of the function

Q: (sin (sin x - - 6 cos x) dx

A:

Q: 2. Approximate the value of f(x) = √√3+ x2 at x = .9 using the linearization process.

A: The linearization of the given function is:L(x)=21​x+23​ The approximate value of the function at x…

Q: Required information Consider the given data. 1 2 2.5 3 4 5 f(x) 0 5 7 6.5 2 0 Calculate (3.4) using…

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Q: GivenF(x) = h(f(g(x))), g(1) = 2, g′(1) = 3, f(2) = 4, h'(4) = 1 and f'(2) = 6, findF′(1)

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Q: Let P(x, y) be "x has taken class y," and Q(x, y) be "x has passed class y" and M(y) be "y is a math…

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Q: Perform the following operations and simplify fully.

A: The objective of this question is to simplify the given expression by combining like terms.

Q: Use the formula for the sum of the first n integers to evaluate the sum given below. 3+ 6+ 9 + 12 +…

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Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

Q: Water is leaking out of an inverted conical tank at a rate of 12500 cubic centimeters per min at the…

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Q: Question 4 Consider the curve 5x²+4xy+4y³ = 29125 (a) Show that P(-75,-5) is on the curve i.e., show…

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Q: Let z(x, y) = √√x² – y² + 25. Graph the boundary of the domain of z below and indicate whether the…

A: Given :-z(x,y) = Now, z(x,y)  0So,  = 0-x2 - y2 + 25  0x2 + y2 25Now drawing the graph i.e.,

Q: Ar x+4x²+5x+2 x+1 x2 x+2

A: solving the given equation

Q: y = = Find the equation of the curve that passes through the point (2, 2) if its slope is given by…

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Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Use the figure to solve the inequality. (a) g(x)≥ f(x) (b) f(x) > g(x) (a) The solution to g(x) ≥…

A: From the graph of two functions: height of g(x) is more than height of f(x) in the interval (0,6)…

Q: Find the value of the expression lim t→ꝏ -e-3t +5

A: The objective of the question is to find the limit of the expression -e^-3t +5 as t approaches…

Q: Find the critical numbers of the function f(x)=-12x to the fifth power  - 75x to the fourth power +…

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: Find f'(x). f(x) = (8+ Inx)³

A: The objective of the question is to find the derivative of the function f(x) = (8 + ln(x))^3. This…

Q: Find f'(x) and simplify. f(x)=2x5(x-9)

A: Given that the expression we have to find the derivative of the given expression

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: y = -4 + ln(x)

Q: Csc (2x)-2=o Four smallest solutions

A: Given that the equationcsc(2x)-2=0 we have to find the solution

Q: Use the equation  Max =  1 2(x + y + |x − y|)  to answer the following questions. Recall that  |a|…

A: Here we have given an equation: .What is absolute value of a number?The absolute value of a number,…

Q: 2. Write an equation for sine and cosine for the graph below. 5. 0 5 10 15 20

A: We have given a graph of the function and we have to find the corresponding sine and cosine function…

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research…

A: The objective of this question is to find the price at which the company should sell the buggies to…

Q: [ In(x² + 1) dx

A: integrate

Q: Solve by trigonometric substitution 9 S. dx. x²√9-x² Draw the triangle with values on each side

A:

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Evaluate the line integral foxy²²ds, where C is the line segment from (-1, -1, −1) to (1, 1, 1).

A: We have to calculate

Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

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Q: The points A[−1, 1, 1], B[2, 0,3], and C[3, 3, -4]. Show that this triangle is a right-angle…

A: Please see the explanation Explanation:Step 1:

Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Consider the indefinite integral 7x37x264x + 80 dx x²+16x2 Then the integrand has partial fractions…

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Q: Sin U X-4 Compute using *3-8x+7 Partial fraction decomposition. what is another method that can be…

A: The value of the integral is21​ln∣x2−8x+7∣+C,where C is the constant of integration.Explanation:

Q: (a) How many one-to-one functions are there from a set with four elements to a set with five…

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Q: 2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 4, f'(1) = 4, f'(3) = 5, and f'(4) = 6. Find F'(1).…

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Q: (9) y 2*+2 4 15 (11) y: (

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Q: (a) Domain of f(x). (b) r-intercepts and y-intercepts. (c) Vertical asymptotes and holes. (d)…

A: Here we have given a function: .

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel…

A: Given that,f(t) be the temperature at time t where you live and at t=2 you feel uncomfortable.

Q: Write the expression as the​ sine, cosine, or tangent of an angle. Then find the exact value of the…

A: The objective of the question is to rewrite the given expression in terms of sine, cosine, or…

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

Q: circle passes through the points (2,1) and (-2,3) and its center is on the line 2x＋y＋4=0. Find its…

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Q: Consider the polynomial function f(x)=-3x^4+6x^2-10. Show algebraically whether f is even, odd or…

A: The objective of this question is to determine whether the given polynomial function is even, odd,…

Q: Find the area of the surface formed by revolving about the polar axis the following curve over the…

A: r= 3cos(θ), 0<=θ<=π/2We have to find surface area formed by revolving about the polar axis the…

Q: Find the length of the curve x = ey + ½ ½ e˜³, 0 ≤ y ≤ 6.

A: