The position of a particle in the xy-plane at time t is r(t) = (t+ 2) i+ (t +5) j. Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t= 1. The equation for the path of the particle is y =.

Q: 1. Find the general implicit solution to the differential equation xy +1+(ln(x)−2y)y′ =0

A:

Q: Use a definite integral to find the area of the region between the given curve and the x-axis on the...

A:

Q: The figure shows the graph of the equation F(x, y, z) = x + y? – z? - 16x – 14z – 4 = 0 Use the quad...

A:

Q: a polynomial function is given  P(x)= x(x^2-4) describe the end behavior of the polynomial functio...

A:

Q: 3y(x² - 1)dx + (x³ + 8y - 3x) dy = 0

A: This question is related to differential equation. Solve in step 2.

Q: Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies alon...

A:

Q: 10. Given that ļlog, 2= 0.301, log, 7=0.845, and loga 11 = 1.041, find the following, if possible. l...

A:

Q: Find the slope of the secant line in red. 104 (3, 8) (1,2) -10 -6 6. 8: 10 -6- -8+ -10 The slope of ...

A: Slope of a line having coordinate are (x1,y1) and (x2,y2) is  Slope = (y2-y1)/(x1-x1)   

Q: Find the general implicit solution to the differential equation xy2 cos(x)dx + 2xy sin(x)dy = 0.

A:

Q: Given the characteristic solution y(x) = C,1-2 + C,r-3 Set up your Particular Solution, then use it ...

A: We have to find out

Q: 11. The average depth of the Pacific Ocean is 14,040 feet, and its depth is 8890 feet less than the ...

A:

Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d. C...

A:

Q: A. y= x - 3x + 4 (1, 2) В. х?+4 у? 3 25 (3, 2)

A: Follow the procedure given below.

Q: The concentration of a drug in the body decreases exponentially after a dosage is given. In one clin...

A: Here, the exponential equation is given by: P=P0ekt...(1) where P is the amount in mg after t hours ...

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E(- 1)n n ...

A: Given series is ∑n=1∞−1nn2⋅n+2!n!43n. Use ratio test Here, an=−1nn2⋅n+2!n!43n. Now,  limn→∞an+1an=li...

Q: Evaluate the integral sec 0 tan e de. Answer:

A:

Q: 4. DETAILS SCALCET9 2.5.037. MY NOTES ASK YOUR TEACHER Use continuity to evaluate the limit. lim In ...

A: Solution )4) limx→1ln(7 - x2/1 + x ) = ln [( 7 - 12)/( 1 + 1 )] = ln (6/2) = ln 3  = 1.098 5) limx→-...

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does n...

A:

Q: A) True B False

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answ (-4)" n°...

A: We have to check Series convergence. 

Q: п-1 Given the series n=1 Does this series converge or diverge? O diverges O converges If the series ...

A:

Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9...

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

Q: The length of a rectangular poster is 1 ft more than the width, and a diagonal of the poster is t. F...

A:

Q: I. Find the limits of the ff by applying the limit theorems.

A:

Q: CONCERTS Last year, a ticket provider sold 1350 lawn seats for a concert at $70 per ticket. This yea...

A: This year, the provider increased each ticket by $2 and sold 30 fewer tickets.To Find:a. How much sh...

Q: Evaluate the definite integral 1.5 5 sec2(x) dæ 0.6

A:

Q: 2. x10 – 3x6dx tane d0 In (cose) 3.

A: Here we have to solve the given indefinite integral.

Q: JUIT U Practiče Problems S teachers, there were 90 markers left The diagram represents the situati m...

A:

Q: Match the solution curve with one of the differential equations. O y" + 4y = 0 O y" + 2y' + y = 0 O ...

A:

Q: If 2 ak = 6 and E bk = 36, find the following values. %3D k= 1 k= 1 n bk E 5ak. E 36 k= 1 E (ax + bx...

A: ∑k=1nak=6 and ∑k=1nbk=36

Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

A:

Q: X +729 If k(x) = complete the table and use the results to find lim k(x). X-9 x+9 -9.1 - 9.01 -9.001...

A: NOTE: Refresh your page if you can't see any equations. . take x=-9.1 . take x=-9.01

Q: The demand function for an item is given by 100 d(x) = (20 < ¤5 50) 0.01z² + 1 where d(x) (measured ...

A:

Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

A:

Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx

A:

Q: 3600t The system of the population of a culture of tumor cells is given by p(t) Find and interpret l...

A: Given that: p(t)=3600tt+4

Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) ii) l...

A:

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: A point x=a is said to be a vertical asymptote of a given function y=f(x) iff as x tends to a, y ten...

Q: A coroner arives at a murder scene at 10 p.m. She finds the temperature of the body to be 86.7°F. Sh...

A:

Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 9x +9; a) [1,3], ...

A:

Q: f'(x) = Compare the graphs of f and f' and use them to explain why your answer is reasonable. f'(x) ...

A:

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. (a) The winch p...

A:

Q: Suppose that V(t) = (21)1.07' + 5 sin(t) represents the value of a person's investment portfolio in ...

A:

Q: A spherical balloon is Inflated with gas at à rate of centimeters per minute. (a) Find the rates of ...

A:

Q: Question 1 Let f (x) = x³ + 2x³ + 7x + 1 Find (f -1)' (a) for a = 1 . O (f -1)' (1) = 4 O (f -1)' (1...

A:

Q: Use long division to divide. Express any numbers as integers or simplified fractions. (6+2,+ 19x- 14...

A: Divide by long division method .(x5+2x4+19x2-14x+45)/(x2+5) 

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

A:

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I ...

A:

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) ...

A: follow next step