The position of an object with respect to time is given by the following function: d(t) = d³ +21² - 2 a. Determine an equation for the velocity of the object as a function of time b. Determine an equation for the acceleration of the object as function of time c. Find the instantaneous rate of change for the position of the object at t= 2 s.

Q: he given curve is rotated about the y-axis. Find the area of the resulting surface. y =  1 3x3/2,…

A: Given

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: Let a = (-3, -5, -2) and 6 = (2, 5, 3). Find a x b. <-5 X, 5 ✔25

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

A:

Q: Suppose a product's cost function is given by - 3q² + 800q, where C(q) is in dollars and q is the…

A: The details solution of the given question is given below in step 2.

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

A:

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A:

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² +…

A:

Q: How do you find the absolute max and min for problem 45?

A: The given function is: y=x+x2-2x ;          0, 4

Q: The domain of origin that satisfies the function f(x)= (x)/(x+2) is.

A:

Q: - The function ƒ(x) = 2x³ − 33x² + 144x – 2 has two critical numbers. The smaller one is x = and the…

A: Please see the below picture for detailed solution.

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

A:

Q: 4. a) Find the general solutions of the following differential equations. Express the general…

A:

Q: 3. Evaluate the limit for the graph: lim f(x). x+1* y 4 2 01 -2 2 48 x

A:

Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

A:

Q: Connecting the Communication Device With the communication device pointed toward your home planet,…

A: Given: fx=ln8xgx=9 sin4x Red Cord: f'c Green Cord: g83π Blue Cord: f''c where, c is a constant such…

Q: Determine the derivative of each function f(x) = 3x³ + 2x² [K2] 1 b. f(x) = = = − 2x² [x2] x² c.…

A:

Q: . Evaluate the limit for the graph: lim f(x). |y4 4 a. 3 b. 2 2 -4-20 2 -2 -++-% x c. d. 5 does not…

A: We will find the required.

Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

A:

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: Use linear approximation, i.e. the tangent line, to approximate 4.7² as follows: Let f(x) = x². The…

A: f(x)=x2m=f'(x)d dx(xn)=nxn-1

Q: S2x√6x- 6x-x² dx =

A: To find out the integration of the given expression.

Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: 8. Below is the graph of f(x) = x³ + x² - 5x+3: a) Find the zeros. b) For each zero-use synthetic…

A:

Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

Q: implied domain for the following function. x^(2)-4x=5x-6y

A:

Q: K For the following demand function, find a. E, and b. the values of q (if any) at which total…

A: Given p = 700e-0.2q

Q: Determine if the function f(x) = 2+2x– x³ satisfies the hypotheses of the Mean Value Theorem (MVT)…

A:

Q: A water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the…

A: Given: Pumping the well dry which is 8- inch in a diameter 180 feet deep for which the water is 15…

Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A:

Q: Expand the quotient by partial fractions. 6x - 10 x - 4x +3 6x - 10 2 x - 4x +3 (Simplify your…

A:

Q: 16 cos 6nt dt = [

A:

Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

A:

Q: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

A:

Q: The​ short-term demand for crude oil in Country A in 2008 can be approximated by q=f(p)=2,443,225p…

A:

Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

A:

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A: Need to find out the rate of changing of area outside the circle but inside the square changing.

Q: 1. Find the limit limä→∞ (1 + 3 X 5x

A:

Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

A:

Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

Q: Find the area enclosed by one leaf of the rose r= 10 cos (30)

A: area enclosed by one leaf of the rose r = 10 cos (3thita)   Formula :- cos2(x) = [1+cos(2x)]/2

Q: x²-1 Evaluate the limit, if it exists: lim - a. does not exist b. 2 *1 X-1 C. 0 d. 1

A: We are required to evaluate:limx→1x2-1x-1

Q: 3) Curve Sketching: The function y = f(x) and its derivatives are given below. Use the information…

A: We have to plot function using given information