2) Evaluate 21 S.SI xy + y" dy dx

Q: 1. Let f(x, y) = sin(x² - y). Compute fx(0, π) and fy (0) and describe in words what these values…

A: Topic = Derivative

Q: Question Find the Taylor polynomial p2(x) for f(x) Provide your answer below: p₂(x) = 6e² at x = 1.

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Q: The answer given in my answer sheet is 108 square centimeter.

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Q: INSTRUCTIONS: Differentiate with respect to g(x) = ln(x√x² - 1)

A: according to bartleby guideline we do only first part g(x)=lnxx2-1d…

Q: ㅍ 2 Evaluate the definite integral 1 0 +1 24 ○ㅠ-1 T3 O² +1 + C 24 0 1 +1 ○ T3 24 - 1 x² + cos(x) dx.

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Q: If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground…

A: Topic - Application of derivatives We are given Height of the rocket after t seconds…

Q: 1. A bacteria culture initially contains 2000 bacteria and grows exponentially. After 3 hours, there…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Calculate all four second-order partial derivatives of f(x, y) = (4x + 3y) e". y) = =

A: ∂ (xn)∂x=nxn-1∂  ∂x(constant)=0

Q: Complete the square and find the minimum or maximum value of the quadratic function y = x² - 6x + 7.…

A: We have to find maximum or minimum value of the function.

Q: Find f'(16) if f(x) = 7x² + 3x +3 √I

A: To find the derivative of given function

Q: Find dy/dx. y=-2

A: Given y=-2   We need to find dydx

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 30 mg sample. (a) Find the mass (in mg)…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm^2/s) is the area of the…

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Q: 2. f cos³ (20x)dx

A: Given :

Q: 4 Evaluate the integral. [*¹²5√1-cos40 de

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Q: Solve 8-3 cos x = cos x-3 to two decimal places; - << T.

A: Given 8 - 3cosx = cosx - 3

Q: The differential equation [In(4y) + 6x³]dx + (x + yº)dy = 0 4y is exact. Select one: O True O False

A: Solution : Given that

Q: Find the inverse of the following function and state its domain. f(x) = 8 cos(12x) +7 Type 'arccos'…

A: solution:-f(x)=8cos12x+7Range of cos function is[-1, 1]Range of f(x): 8[-1, 1]+7Range of f(x): [-8,…

Q: Evaluate Definite Integral 2. 1 2 5x³(2x + 1) ªdx

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Q: A table of values for f, g, f', and g' is given below: (a) If F'(x) = f(f(x)), find F¹(2). (b) If…

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Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x + y) + 5 cos(x - y).…

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Q: 5. Find a derivative of an exponential function. 2x y = e 2x e^+1 е

A: Solve for the derivative

Q: Express the location of the point (5,- Sorry, that's incorrect. Try again? 7π 7). given in spherical…

A: The given coordinate: 5,π6,7π6.

Q: WORK PROBLEMS (. You need to provide a clear and detailed solution for the following Questions: )…

A: This question is related to vectors, we will solve it using given information.

Q: erivative of: 10x¹/10 - 8x 7

A: Topic:- application of derivatives

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

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Q: dy 16. for y=(csc1+secu)³ du

A: according to bartleby guide line we do only first part of multiply questions   16)    y=(csc1+secu)3…

Q: j 877 O O kla 2/9 O O 191 O

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Q: Let F(x) 3 2: = f f(t) dt, where f is the function whose graph is shown. Ay 1 2 3 4 5 16 7 t -1-

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Q: Let f(x) = 2x - 1 and g(x) = x² - 2x + 1, for xeR. a) Find (gof)(x). b) Determine the Domain and…

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Q: Use the guidelines of curve sketching to draw the graph of x² x-1 y =

A: We have to sketch the given curve.

Q: Use differentials and the graph of g' to approximate the following, given that g(3) = 4. (Round…

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Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = f(x, y) 6x + 2y 7x + 6y

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Q: x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique…

A: The given function is:f(x)=x5+2x4+x2+4x4+2

Q: The region bounded by f(x) = 0, and y = 0 is rotated about the y-axis. Find the volume of the solid…

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Q: Describe how the graph of can be obtained from f(x) = x². 7 g(x) = (x + 2)²-3 The graph of g(x) is…

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

A: Given Cost function:- Cx=-0.03x2+2.3x+11.8

Q: [ sin* .rd.

A: ∫sin3x dx=?

Q: The following differential equation is exact if m=0 dy_ mx²y+5x dx 8y Select one: True O False

A: dydx=mx2y+5x8y

Q: Find and prove the limit or deteremine if the limit doesn't exist: arctan(n)

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Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

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Q: d²r Differential equation: = -32k -32k dt drl

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Q: Xight only for a 99% confidence interval when n 18.

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Q: Calculate g(b) and g'(b), where g is the inverse of f = x - cos(x) where b = -1. g(b) = g' (b) =

A: NOTE: Refresh your page if you can't see any equations. . the given value of b is b=-1 so take…

Q: 256√√3 4-52.4 4√√2 3 - ANZ 20

A: Topic:- application of integration

Q: Using a proper substitution, Bernoulli's equation dy dx - 5 xy = - 4x²y4 will be reduced to the…

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Q: Find an equation of the tangent line to the curve y = 8 arccos (즐) at the point (1,7).

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