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Q: Using the graph of g(x) below, answer the following questions. a) Where is g(x) > 0 ? b) Where is…

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Q: Find an LU factorization of the matrix, with L being a unit lower triangular matrix (i.e., the main…

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Q: Find the equation of the tangent line to f(x) at the given point a. f(x) = 3x² - 12x + 1 at the…

A: We have to find out the equation of the tangent line at the points given.

Q: 45. S sin x sin 2x dx

A: SOLUTION: Question-45: Given that ∫sinxsin2xdx.......(1)  Now we know that…

Q: Find the absolute maximum and minimum values of ?(?)=10x−x^2 over the closed interval [0, 8]

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Q: Find two unit vectors orthogonal to a = (-5, -1, 1) and b = (-1,2,3) Enter your answer so that the…

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Q: The position of a bug moving along the x-axis is given by x(t) = at +b, where a and b are both…

A: Please see the below answer.

Q: Let C(x) represent the cost of producing x items and p(x) be the sale price per item if x items are…

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Q: 43. One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a…

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Q: Effect of Price on Demand for Tires  Suppose the quantity demanded weekly of the Super Titan radial…

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Q: 1. f(x)=-0.2(x-1)(x+3)(x-4)² a. What is the degree of the polynomial f(x) and what is the leading…

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Q: Let f(x) = 8 + 3√. Then the expression can be written in the form A B || C = = Use your answer from…

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Q: 2. T S and S the Second. R •P Assume that circles T, and T₂ intersect at right angles (i.e., that…

A: Let O be the center of circle gamma_1 and P be the center of circle gamma_2. Let Q be the point of…

Q: 2) Find the area of the region bounded by a = y² - 4 and y=

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Q: Let f(5) = -7 and f'(5) = -5. Then the equation of the tangent line to the graph of y = f(x) at x =…

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Q: Q11 Multiple Choice Select the best answer. A ball is thrown into the air with an upward velocity of…

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Q: Find points on the straight line segment joining (-3,-1) and (3, 2) wher the function f(x, y) = xy²…

A: Find equation of line joining two points

Q: 3. Find the points (x,y) of the function f(x) = -x³ + 12x² - 5 where the tangent is horizontal AND…

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Q: Prove that the radius of curvature of the Helix curve (helical spring) r(t) = (cost,sin t, t) is…

A: r(t) = (cost,sin t, t)

Q: Determine a direction vector of the line of intersection of the two planes x = 2 + 2t x+ 5y3z- 8 = 0…

A: Given :   first plane  x+5y-3z-8=0 normal vector ( 1 , 5 , -3 )

Q: Find the length of the are of the curve y = In over the interval: (1,9. Round the answer to four…

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Q: A 5 foot ladder is leaning against a wall. If the foot of the ladder is sliding away from the wall…

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Q: Suppose that F(x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 1, and f'(6) = 7. Find F'(3). F' (3) =

A: Suppose that F(x) = f(g(x)) and g(3)=6, g'(3) =4, f'(3) = 1, and f'(6) =7. Find F'(3).

Q: d the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: Find a formula an for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

A: Here we have to find the nth term of the sequence.

Q: The formula v = √2.6r models the maximum safe speed, v, in miles per hour, at which a car can travel…

A: Given formula for maximum safe speed:- v=2.6r Here v=maximum safe speed and r= radius of curvature

Q: Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the…

A: Given query is to find profit function and marginal profit function.

Q: 25.N-+4, p-u+ow, g-отию, routur ƏN ƏN ƏN when u = 2, v = 3, w = 4 ди душps 20 02

A: We have to find out the partial derivatives.

Q: A campus student group is raising funds for charity by selling cups of boba tea. The expenses…

A: A campus student group is raising funds for charity by selling cups of boba tea. The expenses…

Q: Sketch the graph of the quadratic function indicating the a) coordinates of the vertex, b) the…

A: Consider the quadratic function given by : f(x) = 3 − 4x − 4x2

Q: Use linear approximation, i.e. the tangent line, to approximate 4.86³ as follows: Let f(x) = 2³. The…

A: f(x)=x3given x=5d dx(xn)=nxn-1

Q: In each of the following, verify that the given expression is an explicit or implicit solution of…

A: Implicit solution -  Implicit solution means a solution in which dependent variable is not…

Q: Eliminate the arbitrary constants: y = e(c₁cos2x + c₂sin2x)

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: Suppose that f(5) = 1, f'(5) = 2, g(5) = -8, and g'(5) = 3. Find the following values. (a) (fg)'(5)…

A: fg'(a)=f(a).g'(a)+g(a).f'(a)   fg'(a)=g(a).f'(a)-f(a).g'(a)g(a)2   gf'(a)=f(a).g'(a)-g(a).f'(a)f(a)2…

Q: Use the graph of the function y = f(x) to find the given values, if possible. Estimate when…

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Q: Given z = ln(√(x2+y2)), find (∂2z)/(∂x2)

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Q: Find the radius of convergence and the interval of convergence. x²k+9 Σ(-1)*, (2k + 9)! k=0

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Q: What is the amplitude of the sinusoidal function shown? 14 12 10 7 NTH halle 2x 3r

A: Given query is to find the amplitude.

Q: Find the centroid of the triangular region cut from the third quadrant by the line x + y = -1. What…

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Q: the right triangle shown, explain why v = (π/2) - u. Explain how you can obtain all six cofunction…

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Q: solution not complete, can you upload it again

A: see below the answer required area is in mention as yellow color

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

A: The given expression is sincos-156-tan-114. We have to find the value of this expression.

Q: dy da y = √2-8 tan a

A: we will find the required derivative.

Q: dx (x² - 9)³/2

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Q: 19. f(t) = eat sin bt

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Q: The partial fraction decomposition of where f(x) = -6x + 66 12x25x28 can be written in the form of…

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Q: A mineral deposit along a strip of length 2 cm has density s(x) = 0.01x (2-x) g/cm for 0 ≤ x ≤ 2.…

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Q: In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius scale,…

A: Let the linear equation that describes the relationship between F and C be  F(C) = aC + b where, a…

Q: The region bounded by the curves y = e -1/x x = 5 is rotated around the x -axis. Find the resulting…

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