sing matrices тat x + 2y = 5 x +y =3

Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

A: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

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Q: TT 2 Cos3 0, cos³ xdx хах

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Q: Find the area bounded by y = 2 -x squared and y = x A 9/2 7/2 5/2 3/2

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Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: O Find Hhe lme qr=sin'o when the elpe 3.)

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Q: 1. Let f(x) = 1– x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be ...

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Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is- 6' Round your answers t...

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Q: How did he define the terms from 0 to 2n 「<Yとe OL9 と 27 ずeno) opepe [g O =0 =1 " lnT dr do 27 e

A: x2+y2=r2 is the equation of the circle with radius r To cover a  area of circle of radius r, Rotatin...

Q: x dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: 2(-1)". п — 1 n n=2

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Q: SLx dxdy Evaluate the following double integrals by converting to polar coordinates.

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Q: (Зл — 1)" 5n /n +1 n=1

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Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

A: Given query is to find the value of the integral.

Q: 'R is Region on bounded by Obsegve heit the Region bound 'R in Petaur Coolinates is from 0= T to I B...

A: Here, the given limits of integrations are: x=0, x=y, y=0, y=6 Plot the region bounded by the given ...

Q: x sec(em) tan(enx) dx= sec x2 tan x2 dx A) True B) False

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential fun...

A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx. logefx=loge...

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: If f(x) = 4x – 6, find the inverse function. f(x) =

A: Topic:- function 

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: State the points of inflection for the graph of f(x) below. Explain how you know. 4 2 4 4 2 -4

A: Points of inflection is the point at Which doubled derivative is zero. 

Q: B 5ex - In |x| + C

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: Find dy/dx for thw following function

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Q: 9. In(2x + 1) dx

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

Q: Find the limit. Use l'Hospital's Rule where appropriate ex + e-X - 2 lim x-0 ex – x – 1

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Q: a) Determine the second derivative of the following i) g(x) = - ii) h(x) = Vx³ + x – 1 %3D

A: We have to find the derivative of the given functions.   According to our guidelines we can solve on...

Q: Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x²...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

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Q: Find the area of the region between the curves

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

A: The line in parametric form is given as, x=2t , y=6-t , z=9+8t So, x-02=y-6-1=z-98=t So, direction r...

Q: e*Vex-1dx ex+3

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Q: 5. x = 8 – y², x = y² – 8

A: This question is based on application of definite integral.

Q: 4. § xe¯ dx 6. |t sin 2t dt Jx² cos mx dx 8.

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Q: (In x)²dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: 7. Find the equation of the normal line to the curve x+ = 2 at the point (1,9) 3x %3D

A: Simplify the equation of the curve: x+y3x=2

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the ...

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Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: Give an example of a series that diverges by the Ratio Test

A: Given query is to give and example of series that diverges by ratio test.

Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And c·...

Q: Find the solution of the following differential equation by Laplace transform with itial conditions ...

A: To solve the differential equation dxdt+2x=2 by the use of Laplace form. Given information: The init...

Q: Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1)...

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