Graph the complex number. 2+4/ -5 -4 -3 -2 -1 r= -5-4-3 -2 -1 Find the modulus r. Im i -i Im i -i 1 2 3 4 5 1 2 3 4 5 Re Re Im + Re -5 -5 -4 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -3 -2 -1 Im -i 1 2 1 3 4 5 Re

Q: Evaluate (if possible) the vector-valued function at each given value of t. r(t) = t²i – (t − 1)j

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Q: The position of an object (in metres) is given by the function s(t) = 4x² − 3x + 7. Use a table to…

A: given  s(t)=4x2-3x+7

Q: C. Let z = 1 (2 – 3i)² – (2 – 3i) — 2-3i- - real part of -13z is The

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Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

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Q: e2x 6. lim xxx³

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Q: The monthly demand function for a product sold by a monopoly is p = 1,764-² dollars, and the average…

A: Total revenue = x.P(x). Total cost function =x.C(x) Where x is no of units produced .

Q: 1. An aeroplane has 180 passenger seats. Sadly, 40 of these seats have faulty entertainment systems,…

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Q: Complete the parametric equations for the line where the planes 4x - 4y - 9z = - 27 and - 16y - 10z…

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Q: Find the mass of a lamina bounded by y = 2√√√x, x = 1, and y = 0 with the density function o(x, y) =…

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Q: 1.) Find an f(x) = x2 #t equation for the tangent at x=-2 * line to

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Q: A function y = f(x) is graphed. Find the intervals where the function is: Concave up: Concave down:…

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Q: Determine the value of f"(1) when f(x) = 3 ln (2x + 1). 1. ƒ" (1) 2. f" (1) 13. ƒ" (1) 5. ƒ"(1) = 6.…

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Q: The quantity demanded of a certain product, q, is given in terms of p, the price, by q = 1000e-0.05p…

A: According to question,Given Function,q = 1000 e-0.05p

Q: Complete the parametric equations of the line through the points (-8,0,8) and (-4,-7,-1) x(t) = −8+…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The following is a graph of g (x) = -2 x² O True False

A: Given:

Q: Graph the following equation using reflections and shifts. f(x) = -(x+1)³-2 O O O 9800 1 .

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Q: Consider the following function. 864 X g(x) = 2x² + + 12

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Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: A. Determine the derivative of the following fonctions waing chain rule. 1.) f(x) = (4x²-5x - 12) s…

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Q: Let f(x) = x²e2x. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s)…

A: f(x) = x2e2x In an interval, If,f''(x) < 0 , f(x) is concave up.If,f''(x) > 0, f(x) is concave…

Q: For the quadratic function f(x)=x²-2x-8, answer parts (a) through (c).

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Q: 5,-3,8 Givenu = ,8) Leave your answer as an exact value in simplest form. = (k, 2, 4) calculate k…

A: Given query is to find the value of k.

Q: The compound interest formula states that if P dollars are invested at an annual interest rate of r,…

A: A=P1+rnnt⇒P=initial amount ⇒n=compounded period⇒r=rate of interest⇒A=Amount at time t⇒t=time in…

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = 3ti + (2 cos 2t)j + (2…

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Q: Evaluate the definite integral 4 3π 4 3 cot csc²0 de 8

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Q: 20) log (x-4) - log (x + 6) = 1

A: equation

Q: Use an integral to calculate the population in the whole town of Squaresburg. Round your answer to…

A: population density = population of the cityarea of the city On moving y distance from the highway…

Q: Use differentiation and/or integration to express the following function as a power series (centered…

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Q: For the function ​f(x)=x−2/x−3​,find f′′′​(x), the third derivative of​ f and f^(4) (x), and, the…

A: Given query is to find second, third and fourth derivative.

Q: Use a double integral to find the volume of the solid bounded by the planes 2x + 4y + z = 4, x = 0,…

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Q: Evaluate the given Laplace transform. (Write your answer as a function of s L{t cos(5t)} Need Help?…

A: Solution-

Q: Find a plane through the point (6,4,1) and orthogonal to the line x(t) = − 2 + 5t y(t) = -1- 7t z(t)…

A: Given  (x1 , y1  ,z1) = ( 6 , 4 , 1 )Normal vector of given line n = < 5 , -7 , 6 >a =…

Q: Solve the following inequality. 2x² < -5x+7 Select the correct choice below and, if necessary, fill…

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Q: Find the unit tangent vector of the given curve. r(t) = (2 sin³ 6t)i + (2 cos³ 6t)j T= (2 cos 6t)i -…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. S 1 X 1 1.004…

A: Here we have to find the improper integral.

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² −…

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Q: Step 3 Substituting m 0 and (x, y) = (1, e) into y yo = m(x-xo) and solving for y, we can conclude…

A: Given that m=0 and (x0 , y0)=(1 , e)We substitute, m=0, x0=1 and y0=e into y-y0=m(x-x0)

Q: = = (*) (4) ¹9) 3x 5x-4x

A: Given that fxy=3x-y2x+y and gxy=3x5x-4y. We have to find the matrix A for f∘g.

Q: Using the Laplace transform, solve: y" +9y=r(t), y(0) = 0, y'(0) = 16, - where r(t) = 8 sint if 0…

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Q: Find the intervals of increasing/decreasing for the function f(x) = x³e*.

A: Given query is to find the interval where function is increasing and decreasing.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given:C(t)=3e-0.4t-e-0.6t   We are required to find The maximum value of the function during the…

Q: A tank contains 100 gal of fresh water. A solution containing 4 lb/gal of soluble lawn fertilizer…

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Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. * = (²-3+ 1¹…

A: Given :rt=t2-3t, 1+4t, 13t3+12t2

Q: Evaluate the following limits using appropriate methods. Be sure to indicate each time L'Hôpital's…

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Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: 4ac- 62 { Acos (VABC-B³² x) 2a y(x) = Ã cos + B sin y(x) = A cos bx ²x)} exp (-26) 2a 4ac- 62 2a We…

A: Please see the below picture for detailed solution.

Q: The position of a particle as it moves horizontally is described by the given equation s=sint-cost…

A: Given: s = sint - cost , 0≤t≤2π where s is the displacement in metres and t is time in seconds. To…

Q: Find an equation of a line that has slope 6 and passes through the point (3, 12). In this example,…

A: given slope=6passes throught the point (3,12)standard form is  y=mx+cwhere m is slope

Q: Let c> 0 be a constant and let X be a continuous random variable with probability density function…

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