-1 If f (x) = sin(x), then what is the value of f' () in simplest form? %3D

Q: r = 2sin30 * %3D circle rose inner loop cardioid dimpled convex spiral lemniscate

A: Given problem:- r=2 sin(3θ) To find :-  shape of graph of given polar equation

Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x & Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: find the range 1) y = /1 – 2) y = /3– x V1-x

A: Given: 1.y=1-x22.y=3-x

Q: Please explain to me about Cauchy-Riemann equations

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Q: Use the Fundamental Theorem of Calculus to find the derivative of y = Cost -dt t12 dy dz

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Q: 1. Use the four-step process to find f' (x) and then f'(-3) for f(x) = x² - 8x

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Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy…

A: Given Richter magnitude R(A)=logA2.5+4.25  where A is the amplitude of the energy waves

Q: Use double integrals to find the mass of the lamina ( thin Plate) which occupies the planar region…

A: To find:  The mass of the lamina which occupies the planar region bounded by the straight line…

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: The function f(x) = 2x³ – 33x² + 60x + 10 has one local minimum and one local maximum. Use a graph…

A: The given function,      fx=2x3-33x2+60x+10

Q: Solve the stated IVP using the method of undetermined coefficients.   y’’ + 3y’ = 3 sin 2t, y(0) =…

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: Integrate f(x, y) = (x + y + 5)-² over the triangle with vertices (0, 0), (4,0), and (0, 8). (Use…

A: Given problem:- Integrate f(x, y) = (x + y + 5)-2 over the triangle with vertices (0,0), (4,0), and…

Q: nd sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Hiw/

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Q: Find all the local maximum and minimum and saddle points, with their values, for the function f(x,…

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Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

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Q: Find the directional derivative of f(x,y,z)=xeY+ye² at (0,0,0) in the direction of the vector…

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Q: A campus-based polling group surveyed 100 juniors and seniors to determine whether they favor…

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Q: An instructor wants to create a test that has true-false questions, multiple-choice questions, and…

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Q: r = 2 + 5cos0 O circle rose O inner loop

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Q: r = 6 - 5cos0 O circle

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Q: The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be…

A: The population P(in thousands) is given by: P=75.9e0.0316t where t represents years with t=1…

Q: equation

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Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: Solve the right triangle. Round your answers to the nearest tenth. A = b-0 56° 22

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Q: hit

A: Given,  h(d)=-1/125d^2+d where, Horizontal distance is d. Height is h.

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: The velocity of a car is f(t) = 6t meters/sec. Use a graph of f(t) to find the exact distance…

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Q: For each of the following vector fields F, decide whether it is conservative or not by computing the…

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: 64. 8

A: We have to test the convergence of given series

Q: 13. ап V21+3п 15. ат — 2" cos пл

A: Follow next step

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

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Q: f(x) = ×2 + 2x - 2 then f(-2) =

A: Given query is to find the value of the function at indicated point.

Q: a) Approximate the area under graph (a) of f(x) = 3/x over the interval [2,10] by computing the area…

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is…

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Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

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Q: A company that produces cell phones has a cost function of C = 10x² – 390x + 8717, where C is the…

A: Topic = Derivative

Q: Consider the integral | (3x? + 3x + 4) dæ (a) Find the Riemann sum for this integral using right…

A: h=b-anSubstitute a=4 , b=7 , n=3h=7-43=33=1Consider f(x)= 3x2+3x+4a) By Right endpoints Riemann Sum…

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

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Q: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: An individual is given a dose of Q units of a certain drug. the amount that remains in the…

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Q: If+y = 25 and dz/dt = 5 , find dy/dt when y is positive and %3D %3D (a) z = 0 dy/dt = 0 (b) z=1…

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Q: 24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1.…

A: Note:- Sorry for inconvenience as per our guidelines we should solve only 1 question so please post…