HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

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Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

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Q: : The vectors a and b span R°. What values of m and n will make the following statement true: (2m +…

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: 2. Which cannot be represented by a scalar? a. speed b. velocity с. area d. mass

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: X+ 0.4Inx 04. lim, X+3lnx

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

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Q: R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Let f R R be continuous and let F be an antiderivative of/. If F) dr = 0 for some k > 1, then xf (x)…

A: This is a problem of integration. Based on the general formula and concept we will answer.

Q: Evaluate the limit 25 – b lim b→ 25 5 – vb -

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: complete

A: We will solve the integration.

Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

Q: 3. x = y? ,x = -2y² + 3

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

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Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: Given that The sides Equilateral triangle are increasing at a rate of 10cm/min.

Q: PROBLEM 7: Find all eigenvalues and eigenvectors of A. [2 -4 4 A 3 -3 7.

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Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

A: In this question, we want to calculate the area of the region under the given curve y between x=-1…

Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: A bird drops a stick to the ground from a height of 65 ft. The function h=−16t2+65 gives the​…

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Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: 7. SYVY² +9dy 5-2 8. S (5-1)(s-5)(s+3) ds

A: We have to evaluate the given integrals.

Q: た8e Ge whe'eh ー2x es ytural exponentioel frenebon / show all staps]

A: LetI=∫ 6e3x-8e-2xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 6e3xdx-∫ 8e-2xdxTake constant…

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P &amp; Q is…

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: Find the inverse Laplace transform of the function. 1 F(8) : s2 – 8s + 25

A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: Inx 1 13. lim,

A: We will find the limit.

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: Evaluate f e 1 dx 3 x

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Q: Evaluate the integral: Si (1+ 3 dx x2 Express your answer in decimal. Round off to 2 decimal places.

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Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: 2 x= - 5, x=2, y = 5x, y =x -6

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Q: 1/2 dx 1-х4

A: Let 1-x4 = t

Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

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Q: x dy + ५ ax X cost d x dy 6- -2 ५

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0