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Q: 6. Vsin x sin 2xdx Vtan 4x 7. J cos² 4x 8. cos 2xsin 2.xdx |arctan(3 – x) - dx 9. 1+ (3-х)? 3e 2y 10...

A: Given

Q: *** . Use the shell method to write and evaluate the integral that gives the volume of the solid gen...

A: We have to find out the volume of the solid revolving about the x-axis.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. y? ...

A: We need to find volume.

Q: 6. Let S = {1, 2, 3, 4}. Determine whether each of the following relations determine a function on S...

A: Given that: S={1, 2, 3, 4}

Q: Given that f'(x) and g(x) = V7x – 1, x2 + 3 find F'(x) if F(x) = f(g(x)). F'(x) =

A: topic - derivative of a function

Q: a) Convert the following limit into a definite integral: lim E 4i + 1 n-00 i=1 b) Evaluate the integ...

A: Let's find. 

Q: the volume of the solid under the above the circle x² + y² = 16 in t

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Q: A town's population has been growing linearly. In 2003 the population was 56,000. The population has...

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Q: + 4y = 5sin 3t – 5cos 3t %3D

A: The characteristic equation is m2+4=0 => m=2i, -2i. So, the general solution to the corresponding...

Q: Find the fluid force on the vertical side of the tank, where the dimenskons are given in feet. Assum...

A:

Q: INEXI questioN A rectangular athletic field is twice as long as it is wide. If the perimeter of the ...

A: Let the width is = x yard  Then the length is = 2x yard  Perimeter of the rectangular field is = 192...

Q: ex+1 b) Find f'(x) of f (x) = x2+3 %3D c) For y = xk+1, where k is a constant. Find y'".

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Q: 1 sin -1 X = /1 – t² -

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Q: dy 1- Find by implicit differentiation. dx 2- x2 + y2 = 100. 3- x3 + y3 = 3xy². 4- x²y + 3xy3 – x = ...

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Q: Convert the point (-3, -3π/4) to rectangular coordinates

A: We have to find out

Q: Determine whether the following ordinary differential equation (15x - tan(4x))y"' - x²y" + 7y' 14sin...

A:

Q: 19. ſe3*dx = A) e3x + c. B) 3e3x + c. C) 3e2x + c. D)e2* + c.

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Q: Boyle-Mariotte's law for ideal gases. Experiments show for a gas at low pressure p (and constant tem...

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Q: Next question The selling price of a refrigerator, is $906.00. If the markup is 20% of the dealer's ...

A:

Q: C/ detar mine we ther is analytie or nb. MAST

A: Analytic function

Q: Solve: sin 3r dr + 2y cos 3r dy = 0 %3D

A: First make the differential equation in seperable variable form, that is taking function of x with d...

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: Find the arc length of the graph of the function over the indicated interval. 3/2 + 1 2 y = x2 3 y 4...

A:

Q: 6. If f(z) = 4 then lim f(x)- 12

A: Using limit ,

Q: x-1

A:

Q: Elimination of Arbitrary Constants: Find the differential equation of the following expression. 1. х...

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Q: 5. Laplaceovou transformáciou riešte rovnicu y" + 4y' + 3y = 8e', y(0+) = y'(0+) = 0.

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Q: EXERCISE 3.4 Let R be the region in the first quadrant bounded by x? +y? = 4, y? = -x+4 and y=D0. Fi...

A: Option A is correct answer.  Follow step 2 . 

Q: 6. The relationship between the temperature in degrees Kelvın (°K) and degrees Celsius (°C) is C = K...

A:

Q: 12. Let f(x) = sin x- cos x. The absolute maximum of f (x) on [0, ] is: A) 1. B) V2. C) 2V2. D

A: This question is related to trignometric equations, We will solve it using differentiation.

Q: Evaluate the fallowing integrals by integrating the equivalent integral obtained by Yekersing the or...

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Q: Consider the following. y = x2 y = 6 - x 10 (a) Find the area of the region by integrating with resp...

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Q: 3 . If f(æ) then lim hm f(z) Enter your answer as

A: We have to find out

Q: Utility is a type of function that occurs in economics. When a consumer receives x units of a certai...

A: Given ;  Formula :

Q: 2. y' %3D 1 + 6хе*+у

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: The region is bounded by x=2-y2 and x=y8 about the y-axis

Q: III PLANE AREAS: FIND THE AREA BOUNDED BY THE FF LINES AND CURVES: SHOW A DETAILED SOLUTION: x² +1 1...

A: This is a problem related to integration of the function. For finding out area under the curve we mu...

Q: a) The response of x(t) of a system towards a forcing exponential function is determined by the diff...

A: Let's find. 

Q: Image Function Transformations: Function to Imag Parent Function • Vertical stretch by • Reflection ...

A: Let us consider the standard form of the function y=f(x)y=f(x) The possible transformation of the fu...

Q: Suppose that the values of a smooth function fis known for x = 0,0.3, 0.9, 1.2, 1.5 and 1.8. Select ...

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Q: Solve the he y00-y0)-x sin(x) equation Other sin(x)

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Q: Let R be the region in the first quadrant bounded by the graphs of x = y and x=4y (a) Which is great...

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Q: nd Find the slope of the following line. y= 2.6x Select the correct choice below and, if necessary, ...

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Q: Xoex 94-iner ces 5 For the funedcom Fla) = G Determine cwheiter Jhn Y Axis of Summe thy e) Find the ...

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. •1 dy dx -

A: We will solve the integration. 

Q: Find the absolute maximum and minimum of f(x, y) = 5x + 2y within the domain x? + y? < 25. 1. Absolu...

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Q: Evaluate xydA, where R is the region shown below. R 1, 3) (5, 3) (2, 1) (4, 1) x xydA = i R

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Q: dy y sin x - Solve : +-= cos x+ dx +

A: Solution is given below:

Q: EXERCISE 3.2 Let R be the region in the first quadrant bounded by x? +y2 = 4, y? = -x+4 and y=0. Set...

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this...

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