Consider F and C below.

Q: 16. Find the area of each triangle to the nearest tenth. A) 41.4 mi² C) 37.9 mi² B 9 mi C 107° 8.8…

A: First we use cosine law ⇒cosC=BC2+AC2-AB22BCAC

Q: (c) 1 e2z dx

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Q: A portion of the graph of f', the derivative of f is given, consisting of two line segments and a…

A: The graph of f'(x) is:

Q: 35. x+3y- x=-2 2x - 6y + z = -5 -3x+3y-2z= 5 -

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Q: Use the Laws of Logarithms to combine the expression. 2 log(x) — — log(x² + 1) + 4 log(x − 1) log…

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Q: Consider the function f(x) = arctan(5x). Show that the graph y = f(x) and its tangent line y = g(x)…

A: Given function, f(x) = tan-1(5x) (1) The line tangent to y = f(x), y = tan-1(0) = 0 The point at x =…

Q: Determine the following limits, using ∞ or -∞o when appropriate, or state that they do not e a. lim…

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Q: Area of a sector of a circle The area of a sector of a circle with a central angle of 0.9 radians is…

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Q: Find the derivative of y with respect to x if y = (8x2 - 16x + 16) ex. dy dx =

A: y=8x2-16x+16ex

Q: Find the indefinite integral. 3 dx

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Q: 5.- In the textbook a complex number is written as r≤0° this corresponds to rei evaluate (10/30°) ²

A: To evaluate the following expression. 10∠30°2

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point.…

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Q: Find the polar coordinates, -≤0 < and r≤0, of the following points given in Cartesian coordinates.…

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Q: Find the inflection points of thefunction f(x) = e(23 - x²). INTERMEDIATE WORK f'(x) =…

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Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: Let h(x) be a function continuous on R. You are given the following graph of h'(x). 7-1-01T 1 1 1 1…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (6 tan…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: f(x)=sqrt(7x+1)

Q: Use implicit differentiation to find dy dx x5 + = y = 30xy dy dx

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Q: Complete parts a. and b. below for the given function. In x 2 g(x)=x²-4x-96

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Q: Nutrition   A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10…

A: We have to find the corner points of the feasible region. A certain company′s Mixed Cereal for Baby…

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function. If…

A: The function is given as f(x)=x2-x+9,  over [0,1]. The average rate of change of f(x) over [0,1] is…

Q: Use a double integral to find the volume of the indicated solid. 60 z 50 40 30 20 10 0 y=x + ümi…

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Q: Consider the graph of f' and f' shown to the right. On the same set of axes, sketch the graph of a…

A: Given :- The graph of f' and f'' , on the same set of axes. To find :- The possible graph of f .

Q: Find the radius of convergence and the interval of convergence of the power n n+1 X series Σ…

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Q: ning larget IA3: I can set up and use integrals to solve applied work problems. 1. A fuel storage…

A: Here, radius of base of the cylinder (r) = 6 ft  Total height of the cylinder is 12 ft. But, the…

Q: each integral. (c) 0 π/4 tan5 0 sec¹0 de

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Q: The function f(x) = 1500 represents the rate of flow of money in dollars per year. Assume a 10-year…

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Q: 2x-7y+6z=-31 3x-8y=-9z-34 -2(x+y)=-3z-3x-8

A: 2x-7y+6z=-31  3x-8y= -9z-34  -2(x+y)= -3z-3x-8

Q: nd a particular solution y, of the following equation using the Method of Undetermined Co y"-y' - 2y…

A: Note: - According to the policy of the company we can attempt only one question so please upload the…

Q: Use the Laws of Logarithms to expand the expression. log5 (AB⁹)

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Q: Use symmetry to evaluate the following integral. 5 S (9+x+x² + x³) dx -5 5 √ (9+x+x² + x³) dx = [ -5…

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Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(g(x))• g'(x) dx = S f(u) du where g(x) = u,…

A: a) The given integral is t3(1+t4)3, limit from 0 to 1.  b) The given integral is t3(1+t4)3, limit…

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f…

A: The given function is: f(x)=x2-36x2-16            on 0, 8

Q: The function f(x) = 800 represents the rate of flow of money in dollars per year. Assume a 10-year…

A: The function f x=800 represents the rate of floe of mony in dollars per year.…

Q: Show that the function Y₂ (0, 6) = (5/16m)¹/2 (3 cos² 0-1) is normalized over the interval 0 ≤0 ≤…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Find parametric equations and a parameter interval for the motion of a particle that starts at…

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Q: For the series below, find the number of terms N that must be added in order to find the sum to the…

A: The given problem:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: (f) [cos 2 x cos 2x e dx

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Q: Discrete Math  n = 2k for some integer k by definition of even. Write 4k2 + 5 in the form of even n…

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Q: Given three non-zero vectors, a, b & C, is it possible to evaluate a b Explain with an example. •6•²

A: We have given three non-zero vector.

Q: Find the equation of the line passing through the points (5,2) and (10,6).

A: given points (5,2) and (10,6)we know equation of line is,  y=mx+cwhere m is slope of line

Q: 4. Use Green's theorem to find the circulation √1+x³dx+2xydy с along the triangle C with vertices…

A: According to Green's Theorem                 ∮ P dx + Q dy     =  ∫∫R ∂Q∂x - ∂P∂y dxdywe have to…

Q: Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0, 2]. y 8r 6 2 0 y 8 6…

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Q: Approximate the area under the graph of f(x) = 0.03x - 2.56x² +88 over the interval [4,12] by…

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Q: Consider the function f(x) [3,7]. = X List of values: on the interval (A) Find the average or mean…

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Q: 5.; Let E be the solid bounded in the first octant by the cylinder y² + z² = 9 and the planes x = 0,…

A: Given: Cylinder:y2 + z2 = 9plane xy:            z =0plane yz:             x =0plane:            y =…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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