Express the limit of Riemann sums as a definite integral. Do not evaluate! 7i 4+ 7i – 3 ( 4+ 7 lim lim n n i=1

Q: Question 8 Evaluate the Integral J sin³y cosy dy. A - sin4y +C B -sin3y +C - sin*y +C -sin³y+C D

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

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Q: 1. Find the first derivative the function g(r) = 6x + 54x² + 90x. = (x),6 2. Find the second derivat...

A: Given:- g(x) = 6x3 +54x2 +90x To find:- g'(x)  g''(x)  g''(-1) 

Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: +oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

A: We will use Ratio Test for the given series.

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0. 9999...

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Q: ACID MIXTURE: A chemist needs 10 liters of a 25% acid solution. The solution is to be mixed from thr...

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Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: Use the Integral Test to determine if the series Σ (n+ 2)/4 1 n=1 converges or diverges.

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Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of ...

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Q: (a) Let (x, yo) be a point of the plane, and let L be the graph of the function f(x) = mx + 6. Find ...

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Q: If f(x) = x + V2 – x and g(u) = u + v2 – u, is it true that f = g?

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Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: dy y- 1 dx -1' y(2) = 2

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: t T F(x) = | In(4 - t) cos dt 9. 3 Find F(3) b. a. F'(3) F"(3). You must show your work. C.

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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Q: in central pivot irrigation, a large irrigation pipe on wheels rotates around a center point. A farm...

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Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

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Q: eiz-e-iz 1. Show that Sin z 2i

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Q: When a particular amount of money P, called the principal, is invested at the interest rate r and is...

A: Given interest is compounded annually, therefore n=1

Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: 2x +4 9. Let f(1) = Find the equations of the horizontal and vertical asymptotes of %3D 5x +2 y = f(...

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

Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름 (1-sec*x)...

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

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

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Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: E and F are independent. P(E)=0.3 and P(F)=0.6 find P(EUF) and state answer rounded to 2 decimal pla...

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

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Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below f...

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Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: A small town is known to grow its population at a rate proportional to the population at any time. A...

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Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

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Q: 2sm x-1 2. y= COST+2

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Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: Evaluate the integral .8 xV x+1 dx

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Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

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Q: he given series converges or diverges. use the following as proof: rison Test, Integral Test, Series...

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Q: mydx = nxdy Ans. x" = cy"

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Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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