Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

Q: dy (y casxy +)dx+ =e (xcosty +2y=3) dy

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Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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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: x² cotx³ cscx³ dx =

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Q: 7. (a) y(4) when y 2ln 30 1 (b) y() when y= %3D In 2t %3D

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Q: xp x[1+ (In x)²] 5.

A: The given integral is: I=∫dxx1+lnx2   ...(1)   We know that; ∫11+x2dx=tan-1x+C

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: sec =zydy

A: Given

Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

A: A detailed solution is given below.

Q: 5. Find an expression for y(4) if y = e'sin t.

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: Water is leaking out of an inverted conical tank at a rate of 7900 cubic centimeters per min at the…

A: We have to find the water is being pumped

Q: Entered Answer Preview Result 1 1 incorrect The answer above is NOT correct. 1.8 -2 1,0 18 The slope…

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Q: Find dyldx /x+ Vx+... dy dy 2у +1 1 1 dx y - 1 dx Option 1 Option 4 dy dx y +1 dx 2у - 1 Option 3 O…

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Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: 1. 12a – 92² + 2 dæ

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Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: xydy – (y 3x2) dx = 0 –

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Q: Let y = tan find the differential dy of the function.

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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: A standard cell has an emf "E" of 1.2 volts. If the resistance "R" of the circuit is increasing at…

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Q: steel

A: Please refer to the image below

Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = St, y= 9t,…

A: We have to find the surface area.

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

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Q: Newton's Law of Cooling says that the temperature of a cooling substance is T = A + (T, – A)e*t, A…

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Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

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Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

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Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

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Q: Q2:Find the Laplace of the 1- cos(2t) 1. f(t) = t

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Q: e2x-1 If y = prove that = 1- y² dx

A: Given :y=e2x-1e2x+1

Q: Let f(z) dz = 8, g(z) dz = –12, g(z) da = 13, Use these values to evaluate the given definite…

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Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

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 Langth of the are Ve Siesinzo from to o-52

A: Given:        r=1+sin2θ   Interval is 0,2π  Length of the arc of the curve is given by…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3xª – 4x³ %3D (b) f(x) = 3xª –…

A: We have to sketch the graph of the given function.     According to our guidelines we can solve only…

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

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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: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: The general solution of y" + y = cos? x

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Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

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Q: 1. Evaluate (i) dy dx, 3

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Differentiate with respect to x y = e" cos(x²) e* (cos(x*) – 2x sin(x²)) e* cos(x²) – 2x sin(x²)…

A: y =excos(x2) dy/dx = excos(x2) -2xexsin(x2)           =ex(cos(x2) -2xsin(x2)) option 2 is right…

Q: Determine the center of mass for the region bounded by the following y=x^3 and y=√x.

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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…