Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x 2() x2 Option 1 Option

Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

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Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Option (B) Diverges

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

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A: We will find the temperature.

Q: (3x-2) dx f x²+ 2x + 15

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Q: the answer is incorrect is not 64pi

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Q: 22-23. The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 4 feet per…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We have to solve given integration with the help of wallis formula.

Q: le +e-x dx 10.

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Q: Evaluate: lim (1+sin 4x)cot ¤ x→0+

A: Topic:- limit calculus

Q: SET-UP ONLY the definite integral that will give the area of the region bounded by y = x +1 and x =…

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Q: Find an equation of the hyperbola that has vertices (0, ±3) and foci (0,±4). Equation: = 1

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Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.

Q: fle 30 4) de 3e +1

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Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: Find the dy/dx: Given 2x x+1 y =

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Q: Jse the Fundamental Theorem of Calculus to evaluate (if it exists) f(z) dz, where S-5z 16 sin(z) if…

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Q: Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the…

A: The given curves are; x=8+2y-y2, x=0 (y-axis), y=-1 and y=3   So, the bounded region is as shown…

Q: 34 Find the measures of both angles a and b in the 41 following figure:

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Q: finfyiy-6)"dy 2. 2.

A: We have to solve given integral.

Q: dy (x-2)° · (2x + if y dx\x=0 Find = e2x . Vx+8

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Q: A. Set up the double integral I |(2² + y² )dA where R is the region above the a-axis bounded by the…

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Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: 5元 3) 3 S元 6. 0- 7元 11元 6. 6. 4元 3 元一6 3. R一3 2. 如一2 R一2 3. 与一3

A: Given polar coordinate is 2,5π3. Choose the circle with radius 2 and then the given angle.  The blue…

Q: 2 3 2 [4х - 5х + бх + 9) dr

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Q: 4) (1, 150°) 90° 120° 60° 150° 30° 180° 2 210° 330 240° 300° 270° 4.

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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Q: find Ahe Longth o fthe cerc 2 froom @aobo @-

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Q: Find all the second-order partial derivatives of the following function. 5 3 9 f(x.y) = x°y -x +y 7…

A: Given :f(x,y)=x5y3-x9+y7

Q: The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

A: This question can be solved using the concept of volume of solid generated when curve is rotated…

Q: MULTIPLE CHOICE Question 5 Given the following matrices, find 2B- A. -20 5 3 2 0 and B = 17-3 4-3 1

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Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

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Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

A: Slope of a equation y=fx at a point a,b  is given by dydx(x,y)=(a,b)=df(x)dx(x,y)=(a,b)As per…

Q: Find the first partial derivative wx, wy, wz of ( x  +  yw )2 –  ez  – 2 = 0

A: Let's find partial derivative of given function.

Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: Find the Laplace Transform of the following using the definition via integration: F(t) = 5 sin 3t

A: Lf(t)=∫0∞e-st f(t) dt          =∫0∞e-st 5 sin3t dtIntegration by parts;I=5 ∫0∞e-st sin3t dt…

Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

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Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

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Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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