Find the rod of greatest length that can be inserted between y= square root of x and y=x^3 ;0<X<1 . Where should this rod be inserted? The length of the rod is  ? It should be interested at x=

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

Q: A 29-inch piece of wire is cut into two pieces, which are then bent into a square and a circle,…

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

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A: We have to find the rate at which the total average number of COVID cases is increasing at x = 10…

Q: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

A: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

Q: Find the number x in the interval-;,1| so that the difference of the number from thrice'its cube is…

A: How to find point where the function f(x)  is minimum: find f'(x) and solve f'(x) = 0 for x. after…

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: A length of blood vessel is measured as 2.7 cm, with the radius measured as 0.7 cm. If each of these…

A:

Q: Find the roots using secant method. Stop until at 15th iteration or when approximate percent…

A: clc;clear all;close allx=-1:0.01:2;y=exp(x)+x-4;plot(x,y,'color','blue')xlabel('x')ylabel('f(x)')ax…

Q: A rubber ball bounces to 3/4 of its initial height when dropped on a hard surface. what is the…

A: Given: The ball is dropped from the height 10 meters. The ball bounces 34 of its initial height.…

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: A coat of paint of thickness 0.03 cm is to be applied uniformly to the faces of a cube of edge 29…

A: Let the side length of the cube be S = 29.Side increase on each side = 0.03 cm.Total increase in…

Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

A:

Q: The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm.…

A:

Q: What is the value of the integral ∫2−2 max [1,x2] dx ?

A: This question is related to integration.

Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: The length and width of a rectangle are measured as 35 cm and 28 cm, respectively, with an error in…

A: To determine the maximum error in the area.

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: The length and width of a rectangle are measured as 25 cm and 36 cm, respectively, with an error in…

A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of…

Q: The circumference of a sphere was measured to be 8282 cm with a possible error of 0.50.5 cm. Use…

A:

Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

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Q: The suspension calbes of the golden gate bridge can be modeled by the curve y=0.00037x^2 for lxl< or…

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Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: The original 24 m edge length x of a cube decreases at the rate of 2m/min.   When x=2 m, the…

A: Given,           The original 24 m edge length x of a cube decreases at the rate of 2 m/min.We know…

Q: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width  The length o the printed space…

Q: Use Newton's method to approximate the indicated root of x*+x-9 = 0 in the interval [1, 2], correct…

A: According to Newton's method, the root of some equation f(x)=0 can be obtained by: xn+1=f(xn)f ' xn…

Q: A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30…

A: Given that a coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of…

Q: A spherical balloon is to be deflated so that its radius decreases at a constànt rate of 18 cm/min.…

A:

Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…

A:

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A: Given: when the initial time t=0 amount of the cane sugar is 75 kg, and the time t=30 minutes amount…

Q: An object is thrown upward from a height of 960ft960⁢ft with an initial velocity of…

A: The equation for the object's height 'h' at time t seconds is given by h(t)=-16t2+V0t+h0 Where V0 is…

Q: A projectile is launched upward with a velocity of 160 feet per second from the top of a 75-foot…

A: Given Data: The velocity of the projectile is: v=160 ft/s The height of the stage is: h0=75 ft   The…

Q: A portion of a blood vessel is measuredas having length 7.9 cm and radius 0.8 cm. If each…

A:

Q: A piece of wire of length 12 cm was cut into two pieces. The first was folded to form an equilateral…

A:

Q: Find the root of equation by using muller method

A:

Q: Water flows out of a hemispherical tank at a rate which is 4 times the square root of its depth. If…

A: GIVEN: Radius of the tank is 8 ft

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 18 cm high and…

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Q: Use Trapezoidal rule with 5 subintervals and 8 subintervals to find an approximation of x3V-2x4 +…

A:

Q: What is the value of the integral ∫2−2 max[1,x2]dx ?

A: Value of the given integral is 2x [1- ((x^2) /3) ]

Q: If a ball is thrown vertically upward and with an initial velocity of 10 m/s, it’s velocity at the…

A: To find: The velocity at the highest point reached by the stone. Given: The initial velocity of the…

Q: he rate at which the total average number of COVID cases is increasing at x = 10 tents and = 1 tent…

A:

Q: What are the real-life applications of antidifferentiation or integrat

A: What are the real-life applications of anti-differentiation or integration?

Q: A spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at…

A:

Q: x6ex7dx

A: Here we have to integrate the given function. Use the u substituation method to integrate. The…

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

A:

Q: Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and…

A: Given: Let  x=10 tents And  dxdt=1 tent/day and if the built are x=30.

Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.