is the follecing dif Mantial opuatíon Jmeo on mot Y with x>1. ey-x

Q: Q3/By using matab find the area under the curve f(z) = z cos(z) for -4 SZ<9.

A: The area under any curve f(x) bounded within the interval [a,b] is given by: Area=∫abf(x) dx

Q: The area enclosed by the curve y² = x(1-x) is given by .

A:

Q: 2.) Find the area bounded by the curves y? = 4ax and x? = 4ay %3D

A: The given question has been solved in detail.

Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: find the derivativa dy for the frurrtion y=x by using lagarithmic differatiation.

A: Given y=x5x Taking logarithmic both sides, lny=lnx5x implies lny=5xlnx

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

A:

Q: Find fne volume og the sohid öL taimed by rotading he region giren by y=*, yz0, x=, and =2 albant…

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Q: Solve the area covered by the x-axis and f(x) = e^x from x= 1 to x = 4 with interval h = 0.25 using:…

A: ∫abf(x)dx≈Δx(f(x0+x12)+f(x1+x22)+f(x2+x32)+⋯+f(xn−2+xn−12)+f(xn−1+xn2)) Mid point rule and…

Q: Dy + y Prove that is equivalent to 1 for x 0. 16x

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Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: .5 Approximate J, In x dx using the Midpoint Rule with n = 4. Round your answer to five decimal…

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Q: The vahe of the integral fx*dx with step length 0.5 using Trapezoidal's nule is a) 0.375 b) 0.875 c)…

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Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: 2. Find the area enclosed by the curve y2 = x6 (1- x²)³.

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Q: Find the area under the curve y = 5 over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area…

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Q: 8. y(xtanx + Iny)dx + tanxdy = 0 hint: let z = Iny %3D

A:

Q: Find the area under the given curve. y = Vx + 3; from x = 0 to x = 9

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Q: ) y = 3logst ) y deriv = (sech t) (1 - In(sech t

A: A function's derivative is the function whose value at x is f′. (x). The graph of a function's…

Q: The area bounded by the curve x = 3y + 8, the y- axis and the abscissas y = 0 and y = 2 is O 19 O 1…

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Q: Find the area of y=4ex/1+e2x bounded by the x-axis, y-axis and line    sketch the graph

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Q: tind thie volume of thie solid gen. by rievolung Thie negion bounded by thie qivien linser k cune…

A: #1 Volume of the solid

Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Find the area above the curve y=Inx in the lower half-plane between x-0 and x=1. YA y=In x 0. O a. 1…

A:

Q: Determine whether the following statements is true or false, and explain why.

A: Answer: False.

Q: Evaluate the iterated integral. 4 (x + 7)dy dx Exact number, no tolerance. (x + 7)dy dx = i

A: We have definite Integration to solve.

Q: Classify the y'+y enx=0 dlifferantial equeltion dnd Pind its generdl solvtion.

A:

Q: Find the area of the region enclosed between y=2sin(x) and y=4cos(x) from x=0 to x=0.9PI. Hint: This…

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Q: Use Simpson's Rule e with n=10 Y: X Sin (x), OSXS 27

A:

Q: Use implicit clifteren tra fion to find * for the fol llving x*y+ 3xy-x = 3

A: The given equation is x2y+3xy3-x=3 To find: dydx

Q: Find the area under the curve y=x3+3x2 and the x-axis between x=1 and x3D3. O 46 sq. units O 54 sq.…

A: We need to find the area under the curve y=x3+3x2 on interval 1, 3.

Q: DIfterenti are (뉴) de Ipx tan x -In DIfterentiate exy te Yy 1, tnd y"

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

Q: Approximate the area under the curve of y = x² + 3 over the interval x = -3 to x = 1 using 4…

A: Recall: Trapezoidal rule  Area=∫abf(x)dx≈∆x2fx0+2fx1+2fx2+···+2fxn-1+fxn where, ∆x=b-a2 We have,…

Q: Find the approximate area under the curve of f (X) =cos ( from x =0 tox=T, Using 4 trapezoids. 3 2.6…

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Q: Evaluate the integral. V3 9earctan(y) dy 1 + y2

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Q: 23 Estimate I = (3x + 6x2)dx using midpoints and n 3 subintervals. %3D

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Q: Approximate the area beneath y = sin x on the interval [o, π] using the Trapezoidal Rule with n = 4…

A:

Q: The arc-length of the curve y= / ycos(4t) dt, for 0<x<- 8. 0. is given by which of the following…

A: we have to find the length of the curve

Q: d(xy) = ? tot al dofferentral ? Zryckt x dy=9 )totol pferibral?

A: Given

Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = T, using 4 trapezoids.…

A:

Q: 27. Estimate the area under the graph in the figure by using (a) the Trapezoidal Rule, (b) the…

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Q: 2. Find the area between the curves y = = ri and y = 2r1. %3D

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Q: Evaluate the line integral 11y dy over y = x for 0 < x < 3. (Use symbolic notation and fractions…

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Q: Cond Consider Thomee's function. hi [o hox) a fer x e [e] ae irationals and 0 for x. Tonlar Show.…

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Q: what is (x fyx+ fy) given fCKiy)= ey

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Q: Find the value of 'h' in 8 dx evaluating by 1+x Trapezoidal rule braking in 24 intervals. 1.25 0.25

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. LA B

A: Topic = Area

Q: Evaluate the iterated integral. (8x – 8y) dy dx Exact number, no tolerance. (8x – 8y) dy dx = i %3D

A: