Use the sum-to-product formulas to find the exact value of the expression. 5-2 sin 3 2 sin in

Q: 8. (x2 – 1)y" + 2y – (x – 1)(x + 1)2 = 0

A:

Q: 52+45 lim x 9 x² + 13x + 36

A:

Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

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: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

A:

Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: In which quadrant does the terminal point determined by t lie? Input I, II, III, or IV. (a) If…

A:

Q: +∞ Σ n=1 1+ sin² n 10η

A:

Q: State the range of the following function g(x) = = 7- 2x² x ER

A:

Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: Let f(x, y, z) = 3xz + sin(ry)e*. what is faz? Find the gradient at the point (0, 0, 0)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: The Laplace transform of a continuous function over the interval [0, ∞o) is defined by F(s) = [ e…

A:

Q: A company wants to start a new clothing line. The cost to se up production is 35, 000 dollars and…

A: The solution is given below

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

A:

Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

A:

Q: 8. Assume that f(x) g(x) and table. Use the following table to calculate the following derivative. 2…

A:

Q: - Save & Exit Certify Lesson: 1.6b Operations with Functions Question 1 of 10, Step 1 of 1 If f(x) =…

A:

Q: True or false? An inner product is a scalar-valued function on the set of ordered pairs of vectors.…

A: Given question:- True or False?

Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…

Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: 1.2.2 Quiz True or false? (a) Every vector space contains a zero vector. (b) A vector space may have…

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Determine the amplitude of f(x)=sin(4x)

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

Q: Find u - v, 2(u + 3v), and 2v - u. 8 u = (6,-8, 4, 3), v = (-2,3-3-1) (a) u-v=

A: Please refer to the image below

Q: Σ k=1 3k! k Choose the correct answer below. A. The series converges absolutely. B. The series…

A: The given series is: ∑k=1∞3kk!kk Now, it is a positive term series. So, it is either absolutely…

Q: Choose the correct answer. Derivative d O 9x9 O 8x10 09x8 .9 -x is equal to dx (Hint: Look at the…

A: Given problem:- Find derivative of x9

Q: 10. Use the Comparison Test or Limit Comparison Test to determine whether k=2 k3 k5+2k + 23…

A: The given series ∑k=2∞k3k5+2k+23

Q: Graph the function by using transformations of the graph of y= points on each side. m (x)= (x-3)² -1…

A:

Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

A:

Q: (x + y \(xdy+ ydx)– xy(xdx+ydy)=( +y²

A:

Q: Give the reference angle for 8= O 5 T 12 O 07T 12 O None of these It has no reference angle TT 12 7π…

A:

Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

A:

Q: Medium. Answer any two questions. 1. Find all three critical points for the function: f(x, y) = x²y…

A: The given equation is;  f(x,y)=x2y-xy+3y2

Q: Determine whether the series below converges or diverges. If the series converges, find its sum.…

A: Expand the given summation

Q: ponents [[(4}}]

A: We can solve the answer as below.

Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

A:

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: Watch... Q Consider the graph of f(x). 201 16 12 8 0-1 0 1 0-2 The University of N... O 6/7 02 (4,…

A:

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

A:

Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: A ball is dropped from a height of 10 feet. Each time it drops h feet, it rebounds 0.81h feet. Find…

A: Let's find total distance traveled by the ball.

Q: Graph O when X5

A: The given function is: g(x)=0 if  x<0x2-5x if 0≤x≤55 if x>5

Q: accompanying C. Replace row 2 by its sum w (Type an integer D. Scale now 1 by at should be the first…

A:

Q: f(x) Find the extrema and possible points of inflection (if any exist) of In x X

A: