2 COS os²(5æ) sin*(5æ)dr 4

Q: 1. Evaluate the following limits. x+ Vr - 3r а. lim Vr4 + 3x

A: We have to find limit

Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

A:

Q: Use the properties of logarithms to expand log . Each logarithm should involve only one variable and...

A:

Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: x (4 y dæ + 2 x dy) + y (3 y dæ + 5 x dy) = 0

A:

Q: Given: sing = -, e is a third quadrant angle, and tand = -, bis a second-quadrant angle; find sin(e+...

A: For the solution follow the next steps.

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr...

A: We have to find out degree

Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

A:

Q: Use substitution to evaluate the integral 6 cos t (2+ sin t)? dc 6 3 3 + C 2+ sin t + C 2+ sin t + C...

A:

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

A:

Q: Select all that apply. Solve the following equation; domain 0o g x< 360o; secx -2 %3D 240 120 210 33...

A: Solve the equation secx=-2 where 0°&lt;=x&lt;=360° 

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

A:

Q: r (t) = -li+ (9 cos(t)) j+ (9 sin(t)) k

A:

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: A point has rectangular coordinates (2, – 2). Convert to polar coordinates, with r > 0 and 0 <0< 27....

A: Given query is to find the polar coordinates.

Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

A:

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

A:

Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: The equation of the tangent line to the graph of f(x)=ln(x) at x=e^−1 is given by y=mx+b for m =  ...

A:

Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

A:

Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not. 

Q: 00 1 1 dx x2 + x

A:

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Note: Since you have asked part b, we will solve only part b. 

Q: A population of viruses is increasing at a constant relative growth rate in the bloodstream of its h...

A:

Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: $6. Determine the complementary function for the given DE.

A:

Q: Find the derivative of the function. h(t) = (t5- 1)(312-5t-2) %3D

A:

Q: Solve dy Зу - 4х dx x-y – 2x = C 2x* + x-3 y = C 4 x-3y – 2x-2 = C 2x2 + xy = C -3

A:

Q: Integration by parts. cos?x –dx sin4x

A:

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: Express the integrand as a sum of partial fractions and then evaluate the integra 4x2 xp. 4 1

A: We have to find out 

Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day....

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per da...

Q: 3 4 Sa cos xsin xdx cos

A:

Q: 2. S(Vw +2)Vwdx

A: Topic:- integration

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Given: A dingly is pulled toward a dack by a rope from the bow through a ring on the deck 8 it above...

Q: x (2x+3) f(x) = (x² +1)*

A:

Q: get

A: We will find the rate of change of value. 

Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

A:

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

A:

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

A:

Q: (a) Find (g/f)( x) and (fog)(x) for the functions f(x) = x2+ x and g(x) = - 2x+3. 1 a) g/f: fog: (b)...

A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

Q: Time Interval [1, 2) [1, 1.5] [1, 1.1] [1, 1.01] [1, 1.001] Average Velocity | Complete the followin...

A: We will find the average and instantaneous velocity. 

Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

A:

Q: dx J (V32 + 4)3

A: To find:-

Q: Select all that apply. Solve the following equation; domain 0° sx< 360°; sin?x - 7 sin x = 0 O 90 18...

A:

Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

A: