Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 8j as adjacent sides. NOTE: Enter the exact answers. ||d||= ||d||=

Q: -8-7-6 - 5 -4 -3 -2 -1 8 7 6 5 4 3 2 1- 0 ل -3 نا 2 3 4 5 6 7 8

A:

Q: Find the solution of the differential equation. 9y’’+6y’+y=0 theme: repeated roots; order…

A: topic:- differential  equations solution

Q: ∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for…

A: Given :∑k=1∞tan-15k-tan-15k-5

Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

A:

Q: In each of the problems, apply the method of reduction of order to find a second solution of the…

A: We have to solve given Questions.

Q: 1Q Find the equations for the spheres whose centers and radii is given Center (0, -1, 5) (-1, 1/2,…

A:

Q: Determine whether the following statement is true or false. If y = f(u) and u = g(x), then =…

A: Here, the given functions are y=f(u) & u=g(x).

Q: +∞ Σ n=1 1+ sin² n 10η

A:

Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 100°,  a…

A:

Q: q 0.2 0.4 0.6 h(q) 809 662 542 0.8 444 Estimate h' (0.6) using the table above. h' (0.6)≈ 545 Submit…

A: To estimate h'(0.6) we have to, 1. Find the slope from q=0.2 to 0.6 2. Find the slope from q=0.6 to…

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: Question 2 Choose the correct answer. The average rate of change of the function f(x) = x² + 1 from…

A:

Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2π) for…

A: Here we have to find the local extrema.

Q: Find the indefinite integral. (Use C for the constant of integration.) [(323√/7³-√3/3/3) dx 32x5

A:

Q: Analyze the function f(x) = x+17 4x +15 if x < 4 if x ≥ 4

A:

Q: 4 Find a parametrization for the line segment with endpoints (-1,3) and (3,-2).

A: 4) To find the parametric equation of line segment with endpoints (-1,3) &amp; (3,-2)

Q: Find the shaded region in the graph. s 2 T y=4 y=3 cos x +1 x/6 X=- KIN x/3 2 л/2 2x/3 23 5x/6

A:

Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: 5. Find the volume of the solid of revolution formed by rotating the finite region bounded by curves…

A: Given :Curve :y=x-1 y=x-12

Q: > In the following figures, solve for x. Complete parts (a) through (c) below. a. a. Solve for x.…

A:

Q: (b) 3x + 11 S 2 -dr x²-x-6

A:

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Given that     f(x) =  z=x2+xy+12y2-6x+y      First  ,   p = fx = 2x+y-6                  q =…

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: Problem 2. Let f(x) = 8x²8x4. Find the open intervals on which f is increasing (decreasing). Then…

A:

Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: Transform the given polar equation r = sectan to rectangular coordinate.

A: This question is related to coordinate systems, we will solve it using given information.

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: 4Q Find the dot product and cross product of following vectors i a= 2i+j a= b=I-j+k b= 11. 111. a=į…

A: To find the dot product and cross product of the given vectors. Note that:…

Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: Metric units only Mount Everest is 29,029 feet high. What is the height of Mount Everest in…

A: Given   Height of Mount Everest =  29029 foot

Q: Problem 7. Given the graph of y = f(x) below, at which of the marked x-values can the following…

A:

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

A:

Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: 5 Find a parametrization for the line segment joining the points (0, 2) and (4,0) using the angle in…

A: A parametrization for the line segment joining the points (0,2) and (4,0) using the angle θ in the…

Q: Evaluate using Reduction Formula 1. [ cos7x dx cos" x dx dx = = cos"-¹x sinx + -"-1 [cos"-²x 12 1…

A: ∫cos7x dx

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions. Here I…

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A: NOTE: Refresh your page if you can't see any equations. . The first 3 rows are absolutely correct.…

Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

A:

Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A:

Q: Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

A: We can find the answer as below.

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

A:

Q: Your broker has suggested that you diversify your investments by splitting your portfolio among…

A:

Q: Let f(x) = x6, x ≤ 1 √√x, x > 1 Determine whether f is differentiable at x = 1. If so, find the…

A: Given :fx=x6,x≤1x6,x&gt;1to check differentiable at x=1

Q: A = 21° 45', a = 9.5, b = 22 se 1: = ° (smaller B-value) Case 2: B = C = C = O X (larger B-value)

A: topic:- trigonometry ratio in triangle

Q: Find power series for the following functions x 1- (2x)4

A:

Q: A farm costs f(x,y), where x is the number of pigs and y is the number of horses. There are 10 pigs…

A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

Q: Given y(4) 6y" - 36y" +216y' = t² + 6+ tsint, determine a suitable form for Y(t) if the method of…

A: Given :y4-6y'''-36y''+216y'=t2+6+tsint