Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence you Used to Show Converg ence / divergence of series each 6" - 1 n=1

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A:

Q: Solve for the indicated higher-order partial derivatives, frx, fæy , fyy. f(x, y) = e" sin y + e"…

A:

Q: xsin x dx

A:

Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

A:

Q: 4. coth(ln x)

A:

Q: Which of the following is not used to determine the slope of a function algebraically? slope of…

A:

Q: Solve the following problems. 2. At 1:00P.M, a thermometer reading is 70°F is taken outside where…

A:

Q: Calculate the difference quotient for f(x) = x + x-' at a = 7. (Express numbers in exact form. Use…

A:

Q: Question 6 dx Evaluate the integral improper integral (2r – 1)3 A 1/9

A: Given: ∫-∞ 012x-13dx

Q: Find the area of the region under the graph of the following function. f(x) = 5xe−x from x = 5 to x…

A:

Q: The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

A: Follow the procedure given below.

Q: If 10% of a radioactive substance disintegrates in 4 days, what is its half-life

A: Follow the procedure given below.

Q: k 7) Determine the interval and radius of convergence for E k! x"

A: Given

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

A:

Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

A:

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20 ||

A:

Q: The radius of a sphere was measured and found to be 6 cm with a possible error in measurement of at…

A: Let V be the volume and r be the radius of sphere

Q: Q3) A) If you have three functions: f(x) = x2 – x g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof (x)…

A:

Q: a) Favoring convenience, should you integrate with respect to r or y? b) What are the limits of…

A: Follow the procedure given below.

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: Find əw/ar and aw/as when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs.

A:

Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

A:

Q: A man borrows Php 100,000 from the Social Security System for a term of one year. The interest…

A: Bank Discount  =100000×15100=15000

Q: e slope of the surface z = int (2. 3) is xy² in the x-direction at the and the slope of this surface…

A:

Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: The total cost would be $ (Round to the nearest integer as needed.)

A:

Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

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

Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

A:

Q: (a) Using series we already know, write down a formula for the (infinite) Taylor series for er - e",…

A: (a) The series used is: ex=1+x+x22!+x33!+x44!+...                 ...(1)

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim X4 (Vx+5)-3

A: Using l hospital rule.

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: 13. Find the mass of a thin funnel in the shape of a cone z = x² + y²,1<z< 4, if its density…

A: It is given that, the equation of a cone is z=x2+y2,1≤z≤4 and the density function is δx,y,z=10-z.…

Q: Use the derivative f’(x)=x^2(x-5)(x+5) to determine The local maxima and minimal of f and the…

A:

Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: Determine the value of 3A+1OB if 14x2 + 33x + 9 Cx + B %3D (x – 1)(x+ 1)2 x - 1 (x + 1)2 Answer:

A:

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

A:

Q: Suppose that we know that the function f(x) is differentiable at = a, then what must always be true?…

A: We have to choose correct option

Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

Q: Determine an equation of the line tangent to the curve Y = 10 at the point with x- coordinate 1.…

A:

Q: Find the least squares solution of the system Ax = b 2 1 -2 A = 1 1 b = 1 2 X =

A:

Q: 24) A frustum (truncated cone), and the formula for determining its volume, is shown below. The…

A: Frustum :  a solid formed by cutting the cone parallel to its base side and then removing the…

Q: 3) Determine if the series converges or diverges. If it converges, to 00 2* what does it converge?:…

A:

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from z = 0 to r = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: Jan paid Php 9,250 on a loan made 6 months before at 12% simple interest. Find the interest…

A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

Q: Determine the value of c for which lim (1 + 2,5n = ell n-00 сп

A:

Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

A: