he velocity function is v(t)=−t2+4t−3 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-2,5]. displacement = distance traveled =

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y²) dx dy = || dy 5 (56– 16y+…

A:

Q: 05. lim, (e* - 1)cos x

A:

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

A:

Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

A:

Q: What is the remainder when the polynomial f(x) = 4x* – 3x³ + x? + 10x – 1 is divided by (x- 2). %3D

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

A:

Q: 5+ -6 -5 -3 -2 2 -2 -5t The curve above is the graph of a sinusoidal function. It goes through the…

A: Here, the required function is of the form: f(x)=Acos(B(x-D))+C

Q: -2ln(cosx 03. lim,0 .2

A:

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: For the polynomial, one zero is given. Find all others. P(x) = x3 + 4x2 - 10x + 12; 1+ i О А. 1-і, 6…

A: Topic: Finding roots of a cubic polynomial

Q: Using the method of undetermined coefficients, what is the modified form for a particular solution y…

A:

Q: An object moves such that its velocity in meters per second is given by v(t) = cos t. What is its…

A:

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

A:

Q: Consider a triangle ABC like the one below. Suppose that A=105°, C=34°, and b=29. (The figure is not…

A:

Q: (24) Evaluate the integral: / Va sin(1+ x/²)dx. (25) Find the equation of the normal line to the…

A:

Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)>0 ⇒2t-14>0…

Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

A:

Q: 1. Find the area bounded by: y=x³+1 and y=x+1

A:

Q: Using trig substitution I was able to rewrite the following integral as a new one. 81 + 22 What was…

A:

Q: 06. lim, ,xCsC x xcsC X

A:

Q: x* dy

A:

Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: Find the area of the following shape, 212 2/2 9/2

A: We have to find the area of the given shape

Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

A:

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

A:

Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

A:

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: a3z cos(x – 4y) show that a3z 6. For z = дудхду

A:

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions…

A:

Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

A:

Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Find the area of the region enclosed by the curves y=x'and y = 4x. (Show clear work!

A:

Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

A:

Q: Determine the two equations necessary to graph the hyperbola with a graphing calculator. y? - 64x? =…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L ха = -1| 8 oProve…

A:

Q: ... Supply the missing integrand and the limits of integration -2 csinx dy dx _dx| %3D V1- y? 2 (x-…

A:

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: (21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a…

A:

Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: 2 0. ху dх dy -Vi-(у-1)?

A:

Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: The temperature at o point (x, y) on a flat metal plate is given by 7x, y)- S6+ ), where Ts measured…

A: