Use sigma notation to write the sum. 20 Σ j- 1

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost...

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: Let S be a nonempty bounded set containing a sequence of rational numbers. Provide an example such t...

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Q: 2+x 9 y = Arctan( ) 1- 2x 10. x = cos't ; y = sin't

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Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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Q: Question 3 Find the change in y = 2x -3 if the x changes from 3.3 to 3.5. А) 0.1 0.2 0.3 0.4

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Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand dolla...

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: Given the series 8" n=1 ant1 find the ratio an (Express numbers in exact form. Use symbolic notation...

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Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two deci...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: According to the problem, we have

Q: Consider

A: Please refer to the image below

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

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Q: f(x) = x³ – x +1 e = 0.0001 %3D %3D initial value = 0 %3D increment = -1 %3D

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Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

Q: The radius of a sphere is increasing at a rate of 4.9 mm / s. How fast is the volume increasing when...

A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.

Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: Consider the line perpendicular to the surface z=x^2+y^2 at the point where x=3 and y=2. Find a vect...

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Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/...

A: Let the radius of the sphere is r then given drdt=4 mm/secand diameter is 2r=40 mm

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

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Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

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Q: Use the methods discussed in class to find the surface area obtained by rotating the curve about the...

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Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: - graph and fined Demain and Range For ye sinx-3

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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Q: 3x2+- 8(y + 1) = 0

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

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Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find ...

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Q: ex dx 8. 1+ e2x

A: Given; I=∫ex1+e2xdx   ...1   As we know that; ∫11+x2dx=tan-1x+C

Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ,6x dx u = ...

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Q: A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the t...

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Q: Sketch at least TWO PERIODS of this scenario on a graph. You can copy the graph below on a separate ...

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Q: The height​ (feet) of an object launched in the air t seconds after launch is given by s=−16t2+48t+9...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...