X 1) f(x) = x6 + 4x + 2 I NIX - 3) f(x) = ln(x5 - cos²x) 5) f(x)=xsin x + πT x5 -√x - In 3 3 2) f(x)=√√e7x - 2x 4) f(x) = x² 1 + x³ 1 6) f(x) = x tan- X

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Find points of intersection of the graphs algebraically.

A: This question is related to intersection of graphs, we will solve it using given information.

Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: (b)(is) Verify that the function satisfies the hypotheses of Rolle's Theorem on the given interval.…

A: Explanation of the answer is as follows

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Q: Use the Laplace transform to solve the given system of differential equations. dx dt dy = 5x - y dt…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: Let f be a function for t≥0 then the integral Lf(t)=∫0∞e-stf(t) dtWe have to find the Lf(t)Where…

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Q: The direction of the graph of the given function and by what factor the function is to be stretched…

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Q: Find the unit tangent vector T, the principal unit normal vector N, and the unit binormal vector B…

A: Consider the curve     Ct: rt =cost,sint,t (i) unit tangent vector                  The unit tangent…

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Please answer completely. Step by step. Evaluate. ग ? Sin ³ de 3 1-coso

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Q: 72. The volume of a sphere is increasing at a rate of 40 cm3 per minute. Find the rate at which its…

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Q: 10. Consider the piecewise function (with the piecewise having TWO pieces). Find the piecewise…

A: We need to find piecewise function.

Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: On the graph below, move the two points to graph the slant asymptote for the function f(x) Provide…

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Q: 95. Solve each system of equations. a) 2x - 4y + 5z = −4 3x +2y-z = 1 4x + 3y - 3x = -1 b) 5x + 4y +…

A: To solve each sytem of equations.a 2x-4y+5z=-43x+2y-z=14x+3y-3z=-1b 5x+4y+2z=73x+y-3z=27x+7y+7z=12

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e* sinh t L{f(t)}…

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: 1) . Is the differential equation linear? dy dx = x4y + sin(x) YesNo     PLEASE SHOW STEP BY STEP .

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Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: Evaluate ln(e2)   a. 2.712828   b. (2.71828)2   c. 2   d. 5.437

A:

Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 2y + ty +…

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Q: Identify the rational function whose graph is given below. Note the x-intercept of the graph is a y…

A: topic:- function

Q: Prob. 2 Find the derivatives of the following functions using any technique available. (a) (ots)…

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Q: The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 8y' + 7y = 0, y(0) = 1,…

A: Let's solve initial value problem by using laplace transform.

Q: Find the derivative of the function. g(x) = [2 + (x² + 1)41³ g'(x) = 2 + (x8+ 4x6 + 6x² + 4x²+3)3

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci

A: Here we have to find the equation of an ellipse.

Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: Consider the following. u = (-2, -7, -5), V = = (-8, 3, -6) (a) Find the projection of u onto v. (b)…

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Q: What is the answer for the two parts of question B? The number isn't readable. I tried, 48, 46, 42…

A: Given.

Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

Q: Determine the equation of the ellipse with center (6, -6), a vertex at (13, -6), and a co-vertex at…

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Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: dx 3 x + x

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Q: what

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Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: CIVIT e graph of the following degree 5 polynomial function, find all of the zeros and their m 6 5 4…

A: Topic:- polynomial functions

Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

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Q: -4 -3 -2 II 5+ 4+ 3+ 2+ 2 estion Heln: 1 2 3 4 5 Video

A: Topic:- polynomial functions

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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