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Q: Question Of Evaluate of the function f (x, y) = x³ + y²x - 3. Write the expression in terms of x and...

A: topic - partial differentiation

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Q: Determine whether the series converges. k In(k + 2) The series converges. O The series diverges.

A: The given series is ∑k=1∞kln(k+2)  

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Q: All functions with trigonometric functions are integrable

A: Given All functions with trigonometric functions are integrable. 

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Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

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Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

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Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We ...

Q: A quadratic function f is given. f(x) 3x2 + 2х - 6 (a) Express f in standard form. f(x) = (b) Find t...

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Q: 6- A thin plate with uniform density is placed in the region bounded by the circle.x + y = 25 in the...

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Q: Use Desmos to graph y = cos x, y = cos (2x), and y = cos x+ cos (2x) for x>0.Compare and contrast th...

A: We have to draw the graphs of y=cos(x) , y= cos(2x)  and  y=cos(x) + cos (2x)

Q: In each of the following, find the partial derivatives. 1 (d) f(r, y) : 1

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Q: 2. True or False. The dx [Arctan(tan x)] = 1 for all x in the domain. ans. True

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Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of ...

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Q: e Evaluate the integral -dx. You may need to do the appropriate substitution first. x3

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Q: Suppose the velocity function of a particle is given by y = 2 - t- t² at any time t ( time is in sec...

A: We can find the total distance covered in the given time as below.

Q: A quadratic function f is given. f(x) = 1 - 10x - xr? (a) Express fin standard form. f(x) = (b) Sket...

A: The given function f(x)=1-10x-x2

Q: Use the functions x) and gtx) to find the specified function. x) +3 9(x) - 4x - 1

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Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies a...

A: Given:    y = 10 - 2x 

Q: Consider the curve C (a helix) parametrized by r(t) = (cos t, sin t, t), 0<t<4T. a) Compute the leng...

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Q: -Divide (3x3-2x²+12x-9) ÷ (x²+2) . state answer using a correct division

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Q: 1. Divide. Write the answer in simplest form. 4등+ 9 2. Write the decimal as a percent. 0.89

A: Given query is to perform indicated operation on the numbers.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: To determine whether a given series converges, it is important to first consider its form. Does this...

A: Given:  Statement: To determine whether a given series converges, it is important to first consider ...

Q: AP37. The production function f(x) gives the number of units of an item that a manufacturing company...

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Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: Perform the indicated operations: [2 -4 8 -25 11 -6 5 3 -11] -2 87 6) -11 5 5) 30 -4 -2 +3 44 0 10 -...

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Q: Let R be the three-dimensional region described by 0<r<1, 0<0<, 0<z<1, which corresponds to a portio...

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Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

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Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by d...

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Q: A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a c...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 7/20 cos(10x) dx

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Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

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Q: IF= x2enx

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Q: How fast is the volume V of a rectangular box changing when its length L is 10 ft. and increasing at...

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Q: Stan (y-t0) dy ( α年

A: Our Aim is to evaluate the integral given below:-∫tan y-π4 dy-(i)

Q: Exercise 3.2. 1. Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u2 (b)[Arccot(u)] ...

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Q: A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a c...

A: Solution ) initial velocity ( u )= 40 ft/sec                   Acceleration ( a )= - 19ft/sec2      ...

Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: tc os4e d E |- cos 40

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Q: Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: Which of the following is not included in the Organon? A On Interpretation B On Sophistical Refutati...

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: dx =(x²ye y + Jx2 +y2 dx = xdy when x=J3', y=I 3xy2) dy 3. 4.

A: Note :- this is multiple questions and according to our company guideline we can do maximum one ques...