Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

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Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

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Q: By completing the square, dx the integral f equals: 2x2+8x+10 tan¬1(x + 2) + C tan-1(x – 2) + C | th...

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Q: Let lim an = a and lim b, = b. Therefore n-00 n-00 an a iii) lim b + 0. b n-00 I|

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Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: Show solution. 1. Below is the graph of f(x) = |x]. Using the right side of the function with the eq...

A: The given function,   y=x

Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

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Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: dy using implicit differentiation, for the equation a + y 7 is. Find da

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Q: dy Find using implicit differentiation, for the equation x° + y° = 10 is da %3D y7 y5 y5 o O O O

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Q: 26 1. 2.0 F28 20 1. -20

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Q: 3r-4x+1 if x + 1 3. Given the graph of the function f(x) = complete the table. エー1 if x = 1' Differe...

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Q: 1. f(x)=5x² – 30x 2. f(x) = 2x +12x² +4

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Q: Prove or disprove : [-x]=-[x] for any real number x

A: Suppose, [[-x]]=-[[x]] is true for all the real numbers x. Here, [[x]] is the greatest integer funct...

Q: For S V1+ vĩ dx,x = O x = u^(1/4) O x = u^(1/2) x = u^4 x = u^2 O C

A: This can be solved as follows:

Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: Te* sin( –4x)dx

A: Find your answer below 

Q: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of...

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Q: 6. * 1 dx Vã (1-/x) 2 In I 1- x1/2 |+ C ! In I 1 -x1/2 | + C A C -2 In I 1-x1/2 | + C - In 1 1 - x/2...

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Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

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Q: 1+ 2t Find the laplace transform of (i).

A: Laplace transformation.

Q: And the Inverse function ofr over the glven Interval. Describe the relationship between the graphs. ...

A: f(x)=xx2-9y=xx2-9x2y-x-9y=0(Quadratic equation):comparing with:ax2+bx+c=0roots are:-b±b2-4ac2ahere, ...

Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: sin n(4-y)sin(3 – y)dy

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

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Q: The design commonly used in one residential community is of majestic doors and windows. In this comm...

A: Given, The front window of a newly built house is 7 feet at the base. The top of the window is 12 fe...

Q: -1 For f dx

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Q: Given f (x)=sec.r-/2 tan .x , find f'(:).

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Q: The derivative of the function y = In is: tan x.

A: Given query is to find the derivative if the expression.

Q: Find the global maximum of the function f (x) 1+ x? on the interval (-0, 0) Write DNE is there is no...

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Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

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Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the v...

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: Q1. This question asks to find the average value of a function (see Lecture 10). (i) Find the averag...

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Q: ; find value of matrix A eigen -2 A %3D 2. 2.

A: I am attaching image so that you understand each and every step.

Q: 12 3 3. Evaluate the integral ||xy (x² + xy + yz* kixdydz . ху 0 0 1

A: We have to find the value of the given triple integration 

Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: Evaluate the integral. (Use C for the constant of integration.)   The integral of 5(tan^2(x)+tan^4(...

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: The values of C, and C, so that y(x) = C, e3x + C, e-3x satisfies the %3D following conditions: y(0)...

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Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f '·g...

Q: Evaluate the definite integral two ways: first by a r-substitution in the definite integral and then...

A: The given integral,       ∫08x1+xdx

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: B. Use the figure at the right. 1. [- 5, - 3) 2. [- 4, - 2] 3. [-1, 2] 4. (3, 5] 5. [1, 4] 4. 3- 2- ...

A: Given

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount o...

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