2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

Q: A function y = f(x) passes through the origin. If the second derivative y" = −sin (2?), determine…

A: Given function y=f(x) passes through origin.The second derivative y''=sin(2x)

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. In 3 √(In 3)²-2 S…

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Q: Use differentials or linear approximation to approximate (2.002)¹.

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Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: Topic : limits and continuity

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Graph

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: Evaluate the double integral over the given region. 1 SS (x + 1)(x + 1)^ dA, R: 0≤x≤3, 0≤y≤8 R OA.…

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit is $10…

A: (a) The statement "P(3000) = 60000" means that when 3000 units of the commodity are sold, the…

Q: Prove or disprove: The derivative of y = sinx+cosx COSX 3 is = dx 1 (1+sinx)(1−sinx)

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Q: Find a formula for the nth term of the sequence. - 1, 2, 7, 14, 23, ... Determine the sequence's…

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Q: You are climbing a mountain by the steepest route at a slope of 30° when you come upon a trail…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 4. Vertical cross sections…

A: We need to find area of rectangle.

Q: 6. Convert from cylindrical to rectangular coordinates (a) (4, π/6, 3) (b) (8, 3π/4, -2) (c) (5, 0,…

A: Solving the problem

Q: The formula x(x) = |f''(x)| 3/2 expresses the curvature of a twice-differentiable plane curve as a…

A: The function is

Q: How far is the point (8,12,2) from the z-axis

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Q: The region is bounded by the curves

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Q: Express the area of the region bounded by the given lines as an iterated double integr The lines x =…

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Q: Determine the area of the region bounded by the graphs of x = y², x = y³, y = 2.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Determine the order, n, of the differential equation y" + 4y'y=-3x³. n=

A: y'''+4y''y'=-3x^2

Q: (10) Find the derivative by taking In (natural log) of both side of the function. y = [(cos x)*]x²

A: To find the derivative by taking  (natural log) of both the side of the function.Note: Since the…

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 4y² = 60 =

A: The function isf(x,y) = x2 y5x2+ 4 y2 = 60Let g(x,y) = 5 x2+ 4 y2 -60Differentiate f(x, y) with…

Q: Me number of mosquitoes in a field after a major rainfall is modeled by the function M defined by…

A: Here we given a function M described here models the quantity of mosquitoes in a field following a…

Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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Q: Find the limit. lim (x,y) →(50,50) x+y=100 x+y-100 √x + y - 10 O A. 0 OB. 10 O C. 20 O D. There is…

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Q: Find the area under the graph of y = x + 2 on the interval [-1, 2]. ਲਗੀਆਂ 54-2-1 1 2 3 4 5 3 4 n

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: let y=5 log (x+1) find y'

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Q: on the interval [0, 2π). Find all solutions to sin(x + =) = sin(x − −) -

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Q: A region bounded by f(y) = 5 - y, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

A: We need to find volume of the solid region.

Q: 3x²+6 lim *+-∞ 5-2x

A: Given data

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: Find the distance from the point (1,-7,-8) to the yz-plane.

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Q: For the given function, complete parts (a) through (f) below. f(x,y)=25x² +9y² O A. For f(x,y) = 0,…

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Q: and saddle points of the function. f(x,y) = 6e-6ye* Select the correct choice below and, if…

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Q: Write an iterated integral for da over the region R R described to the right using a. vertical…

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Q: Find the derivative of the function at Po in the direction of u. 2x-y 5xy +6 Po(1,-1), u = 3i+4j…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 8 x² + y²-2…

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Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

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Q: Find flax and afləy. f(x,y) = 4x³y at

A: Given Function

Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

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Q: 37. 78 - 49 343 + 64 512 25 5 - 3 2401 4096 9 + ... 27

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Q: finite integral. (Use C for the constant of integration.) sir sin4 40 de

A: We have to evaluate the indefinite integral

Q: Find all the local maxima, local minima, and saddle points of the function. 4 f(x,y) = x² + y²-1…

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Q: determine convergence or divergence using any method covered so far.

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Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded (a)…

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Q: Simplify the expression. 4x* (9x³-5) O 13x² - 20x¹ 36x² - 20x* O 36x¹2 -5 O 13x³ - x

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Q: Subject: calculus  Solve the system of nonlinear equations ((2x)^2/3) +( y ^2/3)= (9^1/3)…

A: x=     , y=x=,  y=x=, y=x=,   y=

Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded

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