Find the derivative of the function. y = 7x-6 8x+3

Q: Find the slope of the tangent to f(x) = e" + 1 at the point (0,0).

A: Given that the function we have to find the tangent line at the point (0,0)

Q: Let z = 5 e5π i/4 Write z, z4, z⁹ and 2-2 in the form a + bi. z = 5 cos (5.) +/-5 sin(5.4) 4 Z4 z⁹…

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Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: Use polar coordinates. Find the center of mass of a two-dimensional plate that occupies the quarter…

A: To find the center of mass of a two-dimensional plate that occupies the quarter circle x2+y24in the…

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

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Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: Give two sets of polar coordinates for each of the points A-F in the figure. D E A 0 B F 3 G= T 4…

A: A graph of the polar coordinates of each points A-F are given.The aim is to find the polar…

Q: dy Find and dx d²y dx² x = e¹, y = te-t dy dx d²y dx² For which values of t is the curve concave…

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Q: x = 2. (a) lim Below is the graphs of f(x) and g(x), and their tangent lines at YA y = 1.8(x-2) 0 x…

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Q: 5 1 - 9x Compute the first few coefficients of this power series: Represent the function -Co C1 C₂…

A: The given function is 5/(1-9x).

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A: Given that in a large city, the road system is set up like a Cartesian plane, where streets are…

Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A: Let  be the function .By using the formal definition of the derivative .

Q: sin x lim X→0 xX tan x m. n. lim x→0 X

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Q: ying Polynomials Simplify the product using the distril (x-2)(x+6)

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Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a.…

A: The given parametric equation of curve is

Q: Let P(t) represent the number of grizzly bears in a population at time t years, when t ≥ 0. The…

A: P(t) is increasing at a rate directly proportional to 600-P(t)P(0)=400

Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: a 10, b = 8, c = 7

A: To solve the following triangle.

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…

Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

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Q: Evaluate this integral | √2 3 (1+x) + C √x(1 + x² ) 5 dx (1+x)³ +C 3 ○ 2 √ (1 + x ³ ) 6 + C Va 3 6 3…

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: c) 4-x² 2x²-5x-3

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Q: b) x²-8x+15 2x²-x 1-4x² x²-x-30 X

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: A stone is dropped from the upper observation deck of a tower, 500 m above the ground. (Assume g =…

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Q: Solve the following initial value problem. f(0) = 2 500. f'(x)=√x+x²,

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Q: These triangles are similar. solve for the indicated sides: X X +4 3 LO 5

A: Explaination of the answer is as follows

Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: The polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1)= = 0, use synthetic division…

A: Given that the polynomial

Q: Perform the following operations and simplify the results. State the domain restriction in each…

A: The domain is the set of all possible input values  for a which function is defined.

Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

A: The given integral .The aim is to solve the indefinite integral as an infinite series.

Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: cos(x) - 1 lim 10 esin(z)-1-x

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Q: se the given information to evaluate each expression. (Enter your answers in exact form.) sin a =…

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Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 12x 8 °-x X ³/₂ dx 3

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