Use sigma notation to write the sum. 1 1 1 9(1) 9(2) 9(3) 14 i=1 + + X ++ 1 9(14)

Q: Which of the following equations is/are exact? □ 3x²y² dx + (2x³y + 4y³) dy = 0 (3x²y-x²) dx + e³ dy…

A:

Q: A 15 foot ladder is leaning against a wall. The base of the ladder is pushed towards the wall and…

A: We can find the answer as below.

Q: Evaluate the integral using the following values. [₁x³ dx x³ dx = 960, ["x dx = 24, "dx = 4 [² (2x -…

A:

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.016 per…

A:

Q: The eigenvalues of a square matrix A are the numbers À for which the matrix A-XI is regular.

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

A:

Q: 3. Express the integral I = f(x, yz) dV as an iterated integral in three different ways, where E E…

A: Solution is given below:

Q: drawing the slope field for the differential equation , I would place slope lines of _________ at…

A: We have to find the required

Q: Find x² - y²¹ lim (x,y) →(a,a) x² - y² O 2a O 2a² a² 00 DO

A:

Q: Differentiate y = (2x³ + 3x² - 1)5 30x(x + 1)(2x³ + 3x² - 1) O 5(6x² + 6x)+ 30x(x+1)(2x³ + 3x² - 1)4…

A:

Q: Find the radius of curvature of the curve y = √√x at x = 1 5√5 2 5√5 b) Sys c) 5√5 d) none 2 a) ind…

A:

Q: Jxy co R xy cos y dA R: -1≤x≤ 1,0 ≤ y ≤

A:

Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

Q: Evaluate O O In 9 3 2 - In 2 In 2 x² 2 O tan¹ (2) tan¹(1) O ln 2 0 1 3 9 dx. x³ + 1 -

A:

Q: (b) Determine whether the series Σ n=1 5n cos(3n) 2en converges or diverges.

A:

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: If the following equality is known to be true: -Ax + B x²2x-3 5 dx = -= √, ²2²3 - 2²/₁1 x - x + What…

A: Given data:- ∫-Ax+Bx2-2x-3dx=∫2x-3-5x+1dx

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

A:

Q: If the sequence { 2 9 - An An - 3 converges to 6, then the sequence {an} converges to 9.

A:

Q: Match equation question type with a graph - y= Ⓒy= + Ⓒy= y= x-A x-B x-A (x-B)² (x - A)² x-B (x - A)²…

A: Given data:- In the given question four different equations will be given and find out which graph…

Q: State the word that completes the following statements correctly. 1. The graph of f is increasing…

A: We can identify whether the function f is increasing or decreasing by using the sign of the first…

Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: fin(1 + √x dx

A:

Q: 4 3 2 14 -1 -2- -3- -4 T/2 Find lim f(x) = The graph of the function f(x) = = tan x is given above…

A:

Q: If f(x) = 2ln(8 + x), f'(x) = f'(3) =

A:

Q: Determine whether the following series converges. 5(-1)k+1 Σ k=1 k5 Let ak 20 represent the…

A: Given: Here,            ak=5-1k+1k5 and decreasing series.  Now,…

Q: A function is given by f(X)=x^2+X+5 find f'(2)

A:

Q: Let r(t) = cos(t) i + 4 ln(t² + t)j + 5 tan¯¹(t) k. Find 7' (t).

A:

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

A:

Q: Find the centroid of the region bounded by the graphs of the functions y = 5x², y = x² + 6 The…

A:

Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

A:

Q: Answer the following True or False: If f(x) is an antiderivative of v(x), then f(x) + 2x + 5 is an 4…

A: We will find the required.

Q: For the given cost function C(x) = 19600 + 200x + x² find: a) The cost at the production level 1750…

A: Since, you have posted a question with multi-parts. As per guidelines we'll solve only first three…

Q: Using the following graph of the function f, evaluate the limits (a) through (i). 10 8 Ay 2- of X 10…

A:

Q: Use Divergence Theorem to evaluate SF. Nds and find the outward flux of F(x,y,z) = xi+y²j−zk through…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A:

Q: Using Trigonometric Substitution a substitution of x = 6 sin(theta) was used to solve an integral.…

A: trignometric substitution

Q: For the function f(x) = 3x²-x³-4 where -3 ≤ x ≤ 3, complete the following. 1. Find f' and f". 2.…

A:

Q: Evaluate the following integral. Sxe 13x dx Let u=x². Use the integration by parts formula to set up…

A:

Q: -0.001t² +0.6t, Suppose that in a memory experiment the rate of memorizing is given by M'(t) = where…

A:

Q: Determine whether the differential equation (7x² − 2xy + 6) dx + (7y² - x² + 7) dy = 0 is exact. If…

A:

Q: Classify the given differential equation according to its type, order, degree, and linearity. (+)*…

A:

Q: The half-life of Radon-222 is 3.8 days. A 34-gram sample of Radon-222 is monitored for one day. How…

A: Please see the below picture for detailed solution.

Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x³ - 36x² + 192x on…

A:

Q: (x-2y) dx + (2x+y) dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

A:

Q: Use integration to find the area of the rose curve r = cos 20.

A: Concept: Rose curve: A rose curve, commonly known as a multiform or Grandi's rose The rose's polar…

Q: Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows: Let f(x)=√x. Find…

A:

Q: Σ η +1=2 In(n), π

A:

Q: (1 + y²) dx + (x²y + y) dy = 0.

A: The differential equation is given by 1+y2dx+x2y+ydy = 0                               ........1 To…