11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of functions in parentheses. For example, sin (2x). sin (a) 8 a

Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

A:

Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

A:

Q: Find the general solution of the D.E. (4D³ − 3D+1)y=0. Ⓒy=c₁e²x+c₁₂e-²x Ⓒy=c₁₂e-*+c₂e² Ⓒy=c₁e²+c₁₂e…

A:

Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

A:

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: Locate the absolute extrema of the function f(x) = cos(on the closed interval [0, 1] absolute max:…

A: Solve the following

Q: Given the non-homogeneous differential equation y "+ 3y + 2y = 4e* The roots of its auxiliary…

A:

Q: 2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) =…

A:

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A:

Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

A:

Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

A:

Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

A:

Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

A:

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

A:

Q: y = ln x, xy = 4, x = 1, x = 3

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

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

A:

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

A:

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: b) (x + 2y - 3)dx + (2x + 4y - 9)dy = 0

A:

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Use the arc length formula to find the length of the curve  y = 7 − 4x,   −1 ≤ x ≤ 2.  Check your…

A:

Q: 1 cm?

A:

Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

A:

Q: 11) If the Taylor series of a function has the general expression xn f(x) = En=on! The corresponding…

A: To solve the following problem

Q: What is the exact value of the definite integral?

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

A:

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

A:

Q: Determine the slant asymptote of the graph of f(x)= x²-8x+14 x-3 Write your answer in the format y =…

A:

Q: 32. The radius of a circle is increasing at a constant rate of meters per second. What is the rate…

A:

Q: Use left endpoints and 10 rectangles to find the approximation of the area of the reg Round your…

A:

Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

A:

Q: Which of the following functions has a horizontal asymptote at y = 7x - 1 8x + 1 Oy= Oy= Oy= 3x² 5 -…

A:

Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

A:

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

A:

Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

A:

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

A: