1. Use the properties of sigma notation and the summation formulas to evaluate 138 540 136 925 10 WI

Q: 3. Lim In(x+1)3 x →∞0 6x

A: We can evaluate the limit as below.

Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

A:

Q: 1. Find the limit. t² 4 8 lim t-2 +3

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. X y(x) =…

A:

Q: If f a system of tow equations in two variables has infinitely many solutions, then it is…

A: Here we have to determine the true and false statements.

Q: At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and the…

A:

Q: 7) y = — - cos (40-32) 2 D

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

Q: Find the interval of convergence for the given power series. Use interval notation, with exact…

A: We have to find the interval of convergence.

Q: 5- prove that - for sin Ꮎ dᎾ cose Ꮎ dᎾ

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Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

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Q: An equation for the vertical line through (-3,3) is x=-3 صواب O خطأ

A: Given: An equation for the vertical line through (-3,3) is x=-3.

Q: Using polar coordinates, evaluate the integral sin(x² + y²)dA where R is the region 1 ≤ x² + y² ≤…

A:

Q: 7.Find of z = 2x³-5xy² a²z xy

A: Use partial derivative for finding the unknown

Q: Find the area of the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3,-1).

A:

Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

A:

Q: Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = -x +3.…

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Q: Write an equivalent expression using exponential notation: a3

A:

Q: Numerical Integration: S 0 7. =dx X

A: We want to find value of integral.

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Differentiate the function and express the final answer in factored form.  f(x) = (2x^3 +…

A: f(x) = (2x3 + 7)100 (3x2 - 8)50 f'(x) = 100*6x2(2x3 + 7)99(3x2 - 8)50 + 50*6x(3x2 - 8)49(2x3 + 7)100…

Q: DSX 2 X sec /x dx 3

A:

Q: Find the domain of the vector function. (Enter your answer using interval notation.) r(t) =(√16-t2,…

A: Explained below

Q: II. Solve the following problems. Enclose fina

A: answer is in next step .please give a like

Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

A:

Q: Find L-1 (5² 7². 2s+3 s²+4s+13

A: To find the inverse laplace.L-12s+3s2+4s+13

Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: Find the integral dx √=x² + 6x I

A: We know that ∫dxa2-x2 = sin-1xa+C

Q: Find the volume of the region between the planes x+y+2z = 2 and 4x+4y+z=8 in the first octant. ▪▪▪…

A: Given :x+y+2z=2 4x+4y+z=8

Q: 10) x² + y²-28x-6y + 189=0

A:

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

A:

Q: The general solution of y" - y = x²ex + 5

A:

Q: The range of the function f (x)=6x-8 is all integers numbers. صواب

A: Here, the given statement is: The range of the function f(x)=6x-8 is all the integer numbers.

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

A:

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

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Q: The scientific notation of the number 0.0023 is 2.3x10-3 صواب خطأ

A: The given number is 0.0023We need to write the scientific notation of the number 0.0023

Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: x2 + y2 = 25 is compare with r2cos2θ + r2sin2θ = r2 so here r = 5 tanθ = x/y tanθ= 1 θ= π/4 so the…

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Here we have I=∫01dxx

Q: A company's revenue from selling x units of an item is given as R = 1200x x². If sales are…

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Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: 2. The Minimum point of y= 320

A:

Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

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Q: g(x) = x²mx, -2, mx+b, if x 1.

A: We can solve this as follows:

Q: The value of the exponential form is the subscript in the logarithmic form. (A) True B) False

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81