3. 2+ -2

Q: dy Find of the equation Arcsin(x +y) + y = x² dx

A: To find dydx of the equation, arcsinx+y+y=x2    

Q: 2. (a) If S, denotes the sum of the first n terms of a geometric series and S, denotes the sum to in...

A: Let a be the first term of geometric sequence and r be the common ratio 

Q: 4. ydx %3D 2(х + у)dy

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Q: The first term and the last terms of an A.P. are 17 and 350 respectively. If the common difference i...

A: Using formula of general term & sum of terms in AP.

Q: A2) Find the derivative of the following functions 2² + 4 (a). f(x) = 1² – 4 (b). f(x) = 2 tan '(x) ...

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: For the given expression y', find y" and sketch the general shape of the graph of y f(x). x2 y' = -4...

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Q: a) Is (−3)! possible? Explain your answer.  b) In how many ways can you order an empty list or zero...

A: a.(-3)! is not possible only the factorial of whole numbers are possible. Main use of factorial is t...

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship...

A: NOTE: Refresh your page if you can't see any equations. . the initial distance between two ships is...

Q: Identify whether the following equations are linear or non-linear dy a. +y = 0 dt dx b. + x2 = 0 dt ...

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Q: Direction: Find the derivatives of the following functions: 1. f(x) = (-x* – 5)* 2. f(x) = (– x² – 4...

A: This question is based on Derivative.

Q: dx 2. du

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Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

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Q: 10 Let f (x) = In (arccosec (aWhat is f' (x?

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Q: Find the derivative of the following functions

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Q: Answer the following questions about the function whose derivative is f'(x) = (x - 6)“(x + 9). a. Wh...

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Q: In each of Problems 1 through 5, Use the method discussed under "Integrating Factor Method". I 1. + ...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 6t – 26t ...

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: The function​ f(x) is represented in the following table. Give the best estimate for ∫321f(x)dx   x ...

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Q: Drew has saved $500 for a new mattress. The mattress he wants is $530, and there is a storewide sale...

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Q: Some years ago it was estimated that the demand for steel approximately satisfied the equation p-256...

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Q: f(x) %3D- 2x2— 16х- 25

A: We will use  first derivative test for interval of increase decrease and second derivative test for ...

Q: dy for the given value of x. dx III. In each of the following, find the value of 2x3 ;X = -1 3 x2 2 ...

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Q: 53) A plate shaped like an equilateral triangle 1 m on a side is placed on a vertical wall 2 m below...

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Q: dx 3X-Y-4 2. wheh i y= X =4 y=1

A: First we reduce the equation into homogeneous 

Q: Let f (x) = ln (arccot (x*)). What is f' (x)? 4x3 (1+ x8 ) arccot(x4) 3x3 (1+x7) arccot(x4) 4x3 (1+x...

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm/s...

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Q: dy of the following functions. da A5) Find (a) y = sec(42?) (b)y = sin4x + cos3r (c) y = cot(V4 – a*...

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Q: dy Use logarithmic differentiation to find dx y = (3x* – 2)tan x

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Q: sec4 x 21) tan3/2 x A) _ -1 + C tan1/2 x B) - 14 tan- 1/2 x sec4 x + 7 tan-3/2 x sec5 x+ C C)? tan- ...

A: Here is the solution

Q: A projectile is shot vertically upwards from the earth's surface with air resistance equal to kv-g [...

A: Given, Initial velocity=u Air resistance=kv^2g if height is h then we have to prove  h=1/2kg ln(1+ku...

Q: Write the arithmetic sequence – 14, – 17, – 20, – 23, ... in the standard form: An

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Q: 4. Suppose fand f'are differentiable functions of x. Given f' (4) = 0, f" (-), and g(x) = (). log si...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: What is the common ratio in the geometric series below? 16 + 24 + 36 + 54 + 81

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Q: Find the sum of the infinite geometric series below 2+1+1/2+1/4+1/8+1/16+...

A: We have to find the sum of infinite gp.

Q: Find Dxy. y = x6 - csc x + 4 6x5 + + cSC X cot x x5 - cot2x + 4 O 6x - csC x cot x 6x5 + cot?x

A: topic - derivatives

Q: Consider the following function. f(x) = (2x + 6)5 (a) Make a sign diagram for the first derivative. ...

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Q: S(8x³ + x-3)dx

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Q: Find the equation of the line tangent to the graph of f(a) 3a+ 2a - 7 - 4 at

A: given functionf(x)=3x3+2x2-7x-4f'(x)=9x2+4x-7f'(x)x=-5=9(-5)2+4(-5)-7f'(x)x=-5=9(25)-20-7f'(x)x=-5==...

Q: Let v(t) = 3t – 5 be the velocity function for a particle moving along a straight line. Here, veloci...

A: This question is based on application of Integration.

Q: Determine the stability of the zero solution of the system (a) Si =r² +y² – 2r lý = 3r² – z + 3y

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Q: 0. You know that the even 4. 6. 8. ... and that the odd (whole) numbers are the elements o 1, 3, 5, ...

A: 10) a.) A number is said to be even if 2 is a factor of that number. For eg:number 12 is even as 2 i...

Q: Let f(x) - 6 cos 6 cos° x f '(x) =

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Q: Find the slope of Xy = 8 at the point (2,2).

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Q: RS Corporation is a company that manufactures face masks. For every x thousand pieces of face mask s...

A: Marginal revenue

Q: Find the slope of y = 1 – x3 at the point where y = 9.

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Q: (0; 0) -n -n- return this question to its initial state Consider the applet above. The blue graph sh...

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