Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = sin(4t) + cos(t), y = cos(4t) sin(t); t = π y =

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Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

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Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

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Q: Find the general solution of the differential equation below and check the result by…

A: given differential equation

Q: x2-8x-48 3) lim (2-22x+120. 5) =

A: Given Expression is as follows

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A: Given Functions as follows Cost Function Revenue Function

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A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

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Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: Let f(v) = V v+17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: A point x=c is  a critical point of the function f(x) if f(c) exists and if  f'(c) =0 or f'(c)…

Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

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Q: The function f is defined by f(x) = x² cos (3x + 4). Use a calculator to write the equation of the…

A: f(x)=x2−cos⁡(3x+4)

Q: 9- Consider a rectangle whose height is four times its side (base). bas obiale ting lin The ratio of…

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Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

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Q: Question 3.32) A population of chipmunks moves into a new region at time t = 0. After years, the…

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Q: Find the derivative of the function. y=e22x

A: Find the derivative of the function.y=e22x

Q: If f(x) = 7√x(x³ - 5√x+6), find f'(x). 7_x³ +21x²-70² + 2/1 3 2√x Find f'(5). X

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Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: Determine the vertex of the parabola whose graph is given below. MMM 6 5 4 S 2 -7-6-5-4-3-2-1, 1 2 3…

A: The graph of the parabola is To determine: The vertex of the parabola.

Q: 5. (x + 2y + 3) dx + (3x + 9y − 5) dy = 0

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Q: Find the following using the table below. x g(x) 1 421 4 2 3 4 3 1 2 3 1 3 2 3 1 h' (2) if h(x) =…

A: The Product Rule:The Quotient Rule:

Q: Solve the initial value problem. dy Ꮎ +y=8 cos 0,0 >0, y(t) = 1 de

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Q: A mutual fund is currently valued at $70 per share and its value per share is increasing at a rate…

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Q: O line dogecan

A: Given the polar equation we have to find choose the correct option

Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: Determine x = f(t) for dx (₁²+2t) = 2x + 2, t> 0; f(1) = 4. dt

A: To determine  for .

Q: Compute X, quadrant bounded by the circle x² + y² = 16, the line y = = -x, and y = 0. x dA, where D…

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Q: Suppose that f(x, y) = y√x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤x≤5}. Then the double integral of…

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Q: The graph off consists of line segments, as shown in the figure. Evaluate the definite integral 11…

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Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

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Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 2x² -…

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Q: 1 · f(t) == t³-a¹t 5

A: f(t)=15t5−a4t

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use…

A: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.1 cm.By using…

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

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Q: Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

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Q: Ift B 9 ft 7.

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Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: Simplify: x5/6y2/7x4/34/7 x2/3y1/7 Entry Tip: put the numerator and denominator in parenthesis. Also…

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Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.