The following complex number is a pure imaginary number. i√3 O True O False

Q: In a predator/prey model, the predator population is modeled by the function y = 900 cos(2t) + 8000…

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Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 6300 f (t) = (x+1.5)³…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A: The rate of change of the weight of the solid at any time t is as follow f't=-5ft2+ft

Q: A mass attached to a spring is moving up and down in simple harmonic motion. The graph gives its…

A: dt=AsinBt-C+D⇒A=Amplitude⇒C=Phase shift⇒D=vertical shift ⇒B=2πT,T=time period

Q: 54 3 2 1 /2 Find lim f(x) The graph of the function f(x) = tan x is given above for the interval x =…

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Q: Determine if the sequence (a) converges or diverges. Find the limit if the sequence converges. cos n…

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Q: 4 7 The functions f and g are integrable and f(x)dx=3, | f(x)dx= -3, and • fox •ff(x)dx= 2 2 through…

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Q: If A is the area of the intersection of the regions enclosed by the graphs of r= 1 + cos and = 2 cos…

A: To find the area of the region enclosed by the two polar curves, we need to find the points of…

Q: The number of wiretaps authorized each year by U.S. state courts from 1990 to 2015 can be…

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Q: Use the remainder theorem and synthetic division to find the value of f(x) where xis -3. f(x) = x^²…

A: f(x) =x4 + 5x3 - 10x2 -20

Q: Use cylindrical coordinates. Find the volume of the solid that lies between the paraboloid z = x2 +…

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Q: 2. For this problem, consider the vector field F(x, y) = (2xy - e)i + (y² + x)j (a) Consider the…

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Q: + SSD ²² Find (x + 4y)dA where D = {(x,y) | x² + y² ≤ 25, x ≥ 0}

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Q: The answer for step 4, the calculation of Marginal cost, revenue, and profit when 50 units are sold…

A: The solution is shown in step-2

Q: - 2) Let F(x) = t¹/² = t³/² dt for x > 0. Determine the following: a) F(4) 3 b) F'(4) c) Intervals…

A: Let Fx=∫1xt12-13t32 dt  for x>0. To determine the following. (a) F4 (b) F'4 (c) Intervals where…

Q: Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will…

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Q: A police car is located 50 feet to the side of a straight road. A red car is driving along the road…

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Q: Let y = 5√T. Find the change in y, Ay when x = 1 and Ax = 0.1 Find the differential dy when x = 1…

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Q: The angle is in the second quadrant and cos 0 = Determine possible coordinates for point P on the…

A: Here, given that cos θ=-441 and θ is in the second quadrant. So, sin θ is positive. Now,…

Q: Given the differential equation x' (t) = −x¹ + x³ + 7x² − x − 6, list the constant (equilibrium)…

A: x'(t) = –x4 + x3 + 7x2 – x – 6 Solve for x'(t) = 0 ,   The Constant (equilibrium) solutions are : x…

Q: Find functions f and g so that h(x) = (fog)(x) given that √√x³+1 x³ + 1 h(x) =

A: To find out the f(x) and f(x) for the given composite function made from f(g(x))

Q: Use L'Hôpital's Rule to find the following limits: 20- limecos(2-0)

A: limθ→π22θ-πcos2π-θ

Q: A water main is to be constructed with a 25% grade in the north direction and a 20% grade in the…

A: A water main is to be constructed with a 25% grade in the north direction  and a 20% grade in the…

Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

Q: SHOW ANSWER f(x)=1/x, a = -3

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Q: Let u = (-1, 1, 0) and v = (-7, 6, -5).

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Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

A: Given,          The altitude in feet attained by a model rocket t seconds into flight is given by…

Q: Let be one of the acute angles of a right triangle. The trigonometric functions of the angle are…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Given function,  f(x)= 3x4 − 30x3 + x − 3 The function f(x) is concave upward on an interval I if…

Q: The following graph shows the average candy consumption of a town (in thousands of pounds per year)…

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Q: Name 4 other angles whose cosine is the same as cos Explain using mathematical language how you know…

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Q: The marginal revenue of the xth box of flash cards sold is 500e-0.002x dollars per box. Find the…

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Q: Find the dimensions of a rectangle (in m) with area 1,000 m² whose perimeter is as small as…

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Q: Nasa launches a rocket at t=0 seconds. It's height in meters above sea level, as a function of time…

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Q: For the function y = x2 + 3 x + 9at (3, 1), find  (a) the slope of the tangent line (b) the…

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Q: 1. Evaluate. a. b. arctanx e dx 0 d arctanx Se dx dx dx

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Q: Find the area of the region bounded by the given curves. Enter an exact form, do not use decimal…

A: To find the area of the region bounded by the given curves, we need to set up the integral in polar…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [(9x (9x - 8)…

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Q: 2. s) A particle moves wi velocity and position are v(0) =

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Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

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Q: Construct a polynomial function f with the following characteristics. zeros: -3 (multiplicity 2),…

A: we need to construct a polynomial with -3 (multiplicity 2), and 4 (multiplicity 1) degree 4 here we…

Q: Let y = sin(5x). If Az = 0.2 at x = 0, use linear approximation to e

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Q: Evaluate SSS 2yz dV, where E= {(x, y, z) | y ≤ x ≤ 2y, 1 ≤ y ≤ 2,0 ≤z<x+3y}. Give the exact answer.

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Q: (a) (x, y) = (3, -3) + t(1, −6) X Y || (b) xi+yj+zk=k+t(i − j+ k) y || X = Z || ||

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Q: Solve the following Differential Equation in LINEAR DE of Order One 1. ( 1 + xy ) dx - (1 + x2 ) dy…

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Q: Consider the following descriptions of the vertical motion of an object subject only to the…

A: it is given that,  the gravity of the earth is g=-9.8 m/s2

Q: Use L'Hôpital's Rule to find the following limits: et +t² limtoo ett

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Q: (b) (c) Draw the curves x = y², x=e" and the lines y = 0, y = 1. Then show the shaded area of the…

A: x=y2,x=ey and the line y=0,y=1

Q: Plot each angle on the unit circle below. You will need to draw additional radius segments

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Q: Approximate the area of the region bounded by the graph of f(t)= cos (t/2-1/8) and the t-axis on…

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