What is the largest interval on which the following IVP sure to have a unique solution: (t +5)(t-7)y"+6t y-8 y= 4 Inltl, v(1)=3, v(1)=0 Select one: a (-5,7) b. (0,5) C. NOTA d. (-x,x) e (0,7)

Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

A:

Q: in the interval [0, 1]. Use the method until successive approximations obtained by a calculator are…

A:

Q: The distance traveled in the time interval 0sts 6 is given by the following. 9. |t2 + 4t - 32| dt =…

A: Given,           The distance traveled in the time interval 0≤t≤6 is given by…

Q: S find the Voutofeguatin 3x€-1rinthe interval Co,1] bg using:- - Bisectin method

A:

Q: Consider function f(x)= 2x -21x²+ 72X t 3. Determine 'which of the following at x=4 A. Not a…

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to | (-x* + 14x³ – 36z² +…

A:

Q: 7. Use the Intermediate Value Theorem to find an interval of length 1/2 in which the equation In r =…

A:

Q: the rocket exploded at the peak of the projectile, part I falls at distance less than d to the…

A: In the given question, the concept of Centre of mass is applied. Centre of Mass The centre of mass…

Q: Find the length of the curve. 33 x = 11t°, y =,, 0sts 3 33 t on 0stsv3 is The length of the curve x…

A: Ans: The length of the curve is 77

Q: :(- 2,2]– R, F(x) = L(-3(² + 1) dt

A: Given data :  F(x)=∫-2x2(t-3)(t2+1)dt

Q: Graph afunction on the interval [−2, 5] having the givencharacteristics.Relative minimum at x =…

A:

Q: The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order…

A: (2): Given equation is x≥2y-1 Draw the diagram of domain P

Q: The minimum value of n required to approximate xedx by composite Trapezoidal Rule with an error less…

A: The given integral is ∫02xe-xdx here b=2 , a=0 the error formula for the composite trapezoidal rule…

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 and the line tangent to y=gx at x=5 is y=6x-27. Consider,…

Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

A: Please see the explanation below

Q: Use the false position method to find a root of the equation (e power x) +(2 power −x) + 2cos x = 6…

A:

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

A:

Q: Find the minimum and maximum of the function y = z – 1280z on [-5, 5] by comparing values at the…

A: We first find the critical points using y'=0

Q: ) Use Taylor's formula to estimate the error in the approximation In(x) ~ P3(x) or all x in the…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: Find the minimum and maximum of the function y = z – 405z on [-4,4] by comparing values at the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2. Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³. %3D (1

A: Given: 2.Let us consider the given curve equation, fx,y=7x-8y+2xy-x2+y3 -----1

Q: etanx -25ınttanx=0

A: tanx-2sinxtanx=0

Q: bounded..by. 3 Find theared of thereyion. R and the line y.=x+2 2. 2. 6%=YG and the line y--x

A: we first find the intersection

Q: What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ =…

A:

Q: 4. Use Bisection Method to find an approximation to V3-1 correct to within 10-2 (use an appropriate…

A: To find the approximation of 13-1. To use bisection method we write the given relation in the…

Q: The approximation of the root x* of the function ƒ(x) = x* – 5x³ + 9x + 3 in the interval…

A:

Q: Find the absolute maximum ť binimum Velves cf flx)=2x²-36x²t 120x-8 on the letrval [C,127

A: In this question we have to find the absolute maximum and minimum value of the the function.

Q: The vertical distance covered by a rocket from t = 5 to t = 30 is given by 30 150000 2000 In 9.8t dt…

A: Consider the provided question, x=∫5302000ln150000150000-2100t-9.8tdt                   ......1here…

Q: Find the rod of greatest length that can be inserted between y= square root of x and y=x^3…

A:

Q: Use forward, backward and centered difference approximations to estimate the first derivate of: tx)…

A:

Q: Solve for what is asked: 1. Use Simpson's rule with n = 6 to estimate f Vx3 + 1dx. 2. Use…

A:

Q: Find the largest interval where the following IVP is guaranteed to have a unique solution: (t²-4) y"…

A: To Find: The largest interval where the following IVP is guaranteed to have a unique solution:…

Q: Find y' where y = (tan(18z² +5)) / 18z3 +14 Answer: 54z2 O v' = sec2 (36z) /1823 + 14 + tan(182² +…

A:

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: 1.) If the ball IS Thrown. vertically upward with a veloorty of 15 m/s then ts height after t…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4 Find the distance between u = -3and z= - 1 8

A:

Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

A:

Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: Find the critical numbers and the open intervals on 31 which the function y x-3x+2 is increasing or…

A:

Q: Find valume bounded by abave Z:4-20 and below by Z-xy 2.

A:

Q: on the interval 0sxs 2. Note: Water weighs 62.4 Ib/ft3. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -2 -1.5 -1…

A: Given y=15x2

Q: Find the length of the curve between the specified interval: 3/2 a. y = x7² from x = 1 to x = 4 b. y…

A: (a) Given curve: y=x32 Interval x=1 to x=4 The length of the curve is given by the formula:…

Q: 3Sinx = SınX-1

A: Given equation, 3sinx=sinx-1

Q: The vertical distance covered by a rocket from t 5 to t 30 is given by %3D 30 150000 2000 In 2100r -…

A: Given :-  The vertical distance covered by a rocket from t=5 to t=30s is given by  x = ∫5302000…

Q: 3. Car B is 100 miles directly east of car A and begins moving north at 50 miles per hour. At the…

A: Solve the given problem

Q: 8. x' + 10x² + 6x + 4 is concave down. 3 Determine the interval(s) at which f(x) = -- a) O(-1, 00)…

A:

Q: Once again, a particle travels at velocity t – 1 at time t. Divide the interval 0, 2 into 2k…

A: A particle travels at the velocity t-1 at time t.  We now divide the interval 0, 2 into 2k intervals…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.