QUESTION 2 Find % for the equation y = cosh (2x)tanh x - %3D dx

Q: Question 9 Determine the value of: xeª dx O 1/e e 2/e 1

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Q: QUESTION 1 The radius of semicircle is increasing at the rate of 0.8 cm/s, calculate the rate of…

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Q: aluate| dx.(1)

A: Given query is to eveluate integral.

Q: Question 6: Determine the equation is exact and solve ((+ 2x) dx + G+ 2y) dy = 0

A: The necessary and sufficient condition that Mdx+Ndy=0 be exact is ∂M∂y=∂N∂x

Q: QUESTION 3 (a) Use the trapezoidal rule with 4 ordinates to estimate the value of x + In (2x) dx,…

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Q: (e) [ a +hm (1+lnt) t ln t dt 2.

A: Using substitution tlnt = x

Q: . Determine how long will it take for the thermometer to reach 15°F in Problem 1?

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Q: Question 1. Find the average rate of change of the function f(x) = x² – 5 on the interval [2, 2 +…

A: WE HAVE TO FIND THE AVERAGE RATE OF CHANGE OF A FUNCTION   given function is f(x)=x2-5   Given…

Q: QUESTION 1 The radius r of a right circular cylinder with a fixed height of 48 inches is increasing.…

A: We have to find dV/dr

Q: Example A light is on the top of a 12 ft tall pole and a 5ft 6in tall person is walking away from…

A: (a) distance of tip of shadow frompole = AE = xp+xsrate of change = ddt(xp+xs)=dxpdt+dxsdt= 2+13079=…

Q: Question 1 Predict the shear strength in psi the age k 17 weeks. Round off your answer to the…

A: Given: Obs. no. Strength Age 1 2585 6.5 2 2367.9 13.3 3 2326 12.5 4 2287.9 18 5 2217.5…

Q: QUESTION 8 A ball is dropped from the top of a tall building, 100 meters above the ground. At timet…

A: Given the velocity function v(t) = 9.8 t

Q: The area of a circle increases at a rate of 6 cm? / s. a. How fast is the radius changing when the…

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

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: Question 14 > Given f(x) = 1 find the average rate of change of f(x) on the interval [10, 10 + h]. x…

A: We are asked to average rate of change.

Q: After sitting on a shelf for a while, a can of soda at a room temperatu placed inside a refrigerator…

A: Given, Ta= 39°F To= 68°F T= 61°F t= 15 min

Q: Question 6 Find the solution. (x+e')dy– dx =0 A y=ce' + xe" B x=ce' + ye' © y=ce*+ye' D x=ce" + ye"

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

Q: Question 1 Find the value of dy/dx when x= 12.91 and Y3D4.93 for the given equation. y +3y-3x°-5= 0…

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Given,

Q: QUESTION 14 A ball is thrown vertically upwards with a velocity of 48 f/s from the top of a building…

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Q: QUESTION 5 Figure 1 shows a right triangle with base 6 cm. If x is decreasing at the rate of 2 cm/s,…

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Q: QUESTION 1 Find the rate of change of the area of a square (Area is A = s if the sides are 14 cm…

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Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

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Q: Question 9 A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of…

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Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your…

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Q: QUESTION 4 0.048 kg of H₂O = mL

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Q: 1. The value of the car, x years after it is purchased, is given by the following equation: 27000…

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Q: QUESTION 9 If the radius of a circle decreases at a rate of 3 ft/s, what can you say about the rate…

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Q: Illustration 22.5. Fill in the blanks which are marked with a •It*may, however, be stated here that…

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Q: ft -) is the radius of the puddle decreasing when the radius is 2 ft? hour A circular puddle is…

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Q: QUESTION 5 A spherical balloon is being inflated at a rate of 8cm3/s. Find the rate of change of the…

A: Explained below

Q: Question 19 the radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At…

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Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

A: We know the volume of a sphere is V=43πr3, where r is the radius. Given that,  Diameter, d=18 cm…

Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: QUESTION 1 It is given that the radius of the semicircle increases at the rate of 0.5 cms¹ when…

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Q: Question 5 Find the average rate of change of f(x) = 9x – 4 on the interval 2, 6. Your answer will…

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Q: The regression equation is ý = D+Dx. (Round to five decimal places as needed.)

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Q: A 10-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: Given data- AC= 10 foot. AB=X=6 ft. dxdt=0.7ft/sec. We have to find dydt.

Q: QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

A:

Q: QUESTION 16 The radius rof a right circular cylinder with a fixed height of 48 inches is increasing.…

A: It is given that a radius and height of a cylinder are 3 feet and 48 inches respectively.

Q: x°lnx dx 3.

A: Given Integral,I = ∫x3 In x dx

Q: QUESTION 2 The height, h, of a cylinder is two times its radius, r. If the radius of the cylinder is…

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Q: Question 2 Find the average rate of change of g(z) = 4x + 4. on the interval [-2, 3]. %3D Check…

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Q: he rate of growth dP/dt of a population of bacteria is proportional to the square root of t, wi nd t…

A: The given equation is: dP/dt = k√t.

Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: Question 14 An engineer is experimenting with a cylindrical can with a fixed height of 15 inches…

A: The volume of a cylinder of radius r, and height h is given by, V=πr2h

Q: Question 32 Find the average rate of change for the function) f(x) = x² + 7x from 1 to 4. 12 desmos…

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Q: Question 3 Find the average rate of change of g(x) = – 4x - 3 from x = – 1 to I = 1 Question Help:…

A: To find the average rate of change of the function  g(x) = - 4x3 - 3 From x =-1 to x =1