A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 40 ft/s. Its height in feet after t seconds is given by y = 40t - 29t². A. Find the average velocity for the time period beginning when t=2 and lasting .01 s: ,005 s: .002 s: .001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=2. Question Help: Video W 3 E R % 5 E5 T MacBook Air F6 Y 7 F7 U 00 DIL FB

Q: Suppose sin = cos(0 + 0) 3 Find the following. sin(0 + 0) ,sino 20 29 Moreover, suppose is in…

A:

Q: Complete the statement of the following defintion: Definition (Intermediate Value Property). A…

A:

Q: 1= √y² +₂2² Find the HV in the 1sk octant under w= bounded by the cylinder y²+z"=9 and the planes…

A: To find the volume (HV) in the first octant under the surface defined by w=z2+y2, bounded by the…

Q: Use the method for solving equations with linear coefficients to solve the following differential…

A: (2x-y)dx  +(4x+y-3)dy=0

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: Let f(x) = x for f B 2 3x² + 4 interval(s) of increase: interval(s) of decrease intervalls) of…

A: For a function f( x ) critical points can be find as f'( x ) = 0  For increasing function f'( x )…

Q: Find the second derivative of the function. f(x) = In(x + 3) f"(x) =

A:

Q: 9) Write the Maclaurin series for the given integral: cos(x²) dx

A:

Q: Refer to the given graph of G. ул 10 Select one: a. -3 b. 0 C. 1 Determine the value of x where the…

A: Consider the graph of G

Q: 7) [4e²* dx 0

A:

Q: f(x) =tan(ecot (x²))

A: We know that the derivative of tanx=sec^2x

Q: Find the derivative of the function. f'(x) = f(x) = 7 V 8x² - 3

A:

Q: 12. f2cos² (4x)sin (4x) dx Туре. U= U' =

A:

Q: Find the first and second derivatives of the function. f'(x) f"(x) = L √7x - 6

A:

Q: Find the equation of a line tangent to the curve ²+²=9 at the point (2, √5). In addition, find the…

A: To find out the equation of the tangent line to the given curve at the point and also need to find…

Q: Determine the equation of the hyperbola satisfying the given conditions. Write the answer in the…

A: Asymptote y=±xFoci=0,±7  Let the equation of the hyperbola is y2a2-x2b2=1

Q: A firm determines that units of its product can be sold daily at p dollars per unit, where…

A: As per the rules we are supposed to answer the first three subparts and rest others can be reposted.

Q: Sketch

A:

Q: 19) Find the average function value over the given interval [-1,2] y = 4-x²

A:

Q: Determine whether the improper integral diverges or converges. [" 2 √x(x + 7) dx O converges O…

A: Given integral  ∫0∞2x( x + 7 )dxFormula used ∫1x2 + a2  = 1atan-1( xa )

Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal.…

A: Given: The function is y=x3+4x2-115x+23 The objective is to find all x values where the tangent line…

Q: Find the area between the curves. x = -5₁ x = 3, y = 2x² + 5, y = 0

A: The equation of curves are: x=-5, x=3, y=2x2+5 and y=0 To determine: The area between the curves.

Q: { f(x) = { { if -6 ≤ x ≤-2 if -2 < x≤1 if 1 < x≤6

A: we have given graph of a function and to find the equation of graph.

Q: Find a polar equation for the hyperbola with its focus at the pole and vertices (18, 0). (-90, π).…

A: Focus at the pole and vertices (18,0), (-90,pi).

Q: Car A is traveling west at 50mi/hr and car B is traveling north at Gomi/hr. Both are headed fo the…

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at…

Q: Find an equation of the plane. The plane through the point (5, 0, 6) and perpendicular to the line x…

A: Given: A plane passes through point (5,0.6) and perpendicular to the linex=6t, y=5-t, z=8+3t We are…

Q: For the cost and price functions below, find a) the number, q, of units that produces maximum…

A:

Q: Arjun invests $2,855 in a savings account with a fixed annual interest rate of 2% compounded 12…

A: given invested amount, P=2855, interest rate, r =2%=0.02 n=12 times and time, t =6 years

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: Solve the given initial value problem. y'' -6y' +9y=0; The solution is y(t) = 47 y(0)=3, y'(0) = 5

A: The given initial value problem is:y''-6y'+9y=0;      y(0)=3,       y'(0)=475

Q: Question #10 - Which integral best describes the area below? f(x)=x²-2x g(x) = x va 34 4 -1 7 2 7 2…

A: Area of the shaded region : Let y= f(x) and y=g(x) be two curve and f(x)≥g(x) on a,b , then the area…

Q: Graph  f(x) = ax  for  a =  1 3,   a = 1,  and  a = 3,  all on the same set of axes.

A: Given: f(x)=ax We are required to: Draw the graph of the given function for a=13,a=1 and a=3.

Q: Approximate the area under the curve y=z³ from x=2 to x = 4 using a Right Endpoint approximation…

A:

Q: Find the equation of the ellipse satisfying the given conditions. Write the answer both in standard…

A: Foci =( 0, +-1) Vertices= (0,+-3)

Q: The owner of a ranch has 2,900 yards of fencing material with which to enclose a rectangular piece…

A: The owner has 2900 yards of fencing material, to enclose a rectangular piece of grazing land along a…

Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = ¸¶f(g(x))• g'(x) dx = S g(a) 2/3 2/3 S dy 2…

A:

Q: 1 2) ƒ =—= + √xdx X

A: Integrate the following.                                ∫ 1x+x dx

Q: Refer to the graph of f below. -2 y A 72 X Determine the 2 values of x where the derivative of f…

A:

Q: Which of the these graphs is the graph of the following system of inequalities? y-x² sl x≤3y-9 A D C

A: The given system of inequalities are: y-x2≤1x≤3y-9

Q: Determine {F}. F(s)= 8s³-48s²-3s +24 s³ (5-8) Click here to view the table of Laplace transforms.…

A:

Q: Question # 1 (B) 24-1² Reverse the order of integration: (Note: don't evaluate): 4 √x 1/ (A) ₁3e…

A: To reverse the order of integration. (A) ∫14∫0x32eyx dy dx (B) ∫02∫04-x2xe2y4-y dy dx

Q: 8) Find the Taylor expansion of f(x) at the given f(x)=√x, c=4

A: Given that , fx=x , c=4 find the Taylor expansion of fx at the given c.

Q: 27. DETAILS SCALCET8 5.5.082. A bacteria population starts with 300 bacteria and grows at a rate of…

A: given bacteria population starts with 300 bacteria. given grows rate is r(t)=(450.269)e1.12569t

Q: 5) y=log, (x-3) 6150

A: y=log14x-3

Q: 2. Describe a series of transformations that would transform f(x) = |x| +5 into g(x)=2x-1 Be sure to…

A: Describe a series of transformations that would transform f(x)= |x| +5 into g(x)= -2|x| -1 .

Q: Find the derivative of the function. f'(u) = f(u) = U u² + 8

A: given function is f(u)=uu2+8 formula of derivative used (i) d du(un)=nun-1(ii)  d du(ab)= b×d…

Q: Find all second order derivatives for z = 7ye4x. Zxx 0 Zyy = 3xy=2x =

A: The function is given by z = 7ye4x To determine: The expressions of zxx, zyy, zxy and  zyx.

Q: Find a general solution to the differential equation. y"-y=-3t+4 The general solution is y(t) = (Do…

A: Given :y''-y=-3t+4

Q: Find the points (x, y) at which the polar curve 4 cos 0, - horizontal tangent line. Vertical Tangent…

A: Find the points (x, y) at which the polar curve 4cosθ, -π6≤θ≤π3, has a vertical and horizontal…

Q: My topic is about Higher Order Derivatives and Optimization for reference. A cardboard box…

A: