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Q: incorrect The answer above is NOT correct. 1.8 F2 1,0 10 The slope of the tangent line of the…

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Q: ydy -ヌ-9-y 7-8. 2.

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: -3 2. Evaluate: V12-피 + z dar 0,

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Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: d²y Find dx2 Given: 2xy + 2y² = 1

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Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

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Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: Find S 2t²e*dt

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

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

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Q: Number

A: Please refer to the image below

Q: integration by parts

A: Integration by parts (3). ∫sinx lncosx dx

Q: 12. Solve 2cos²(20) = 1. List the solutions that are: 0 < 0 <n %3D

A: Here, the given equation is: 2cos2(2θ)=1⇒cos2(2θ)=12⇒cos(2θ)=12 or cos(2θ)=-12

Q: TE THE FOLLOWING (x5- 2x3-2x)dx x²+ 10

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Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

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Q: 8. Find the inverse function of: f(x) =-6 x3 %3D

A: The given function is: f(x)=x38-64 Let, y=f(x)

Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

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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: 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: 5. Solve the equation: (D² – 3D + 2) y = 2x² + 1 O y = cje + cze² + 4x + 3x2 + x O y = cje* + cze2x…

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Q: dy 1. Find the general solution of е 3x+2у dx

A: To find the general solution of dydx=e3x+2y.

Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: Sec Qydy.

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Q: 5. S 7x°csc²3x7 dx du = answer:

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

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

Q: Find the first derivative of y = ( ex – e –x ) /  (ex  + e –x ) and y = ln [ x  +  √ (x2  + 1) ]…

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Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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

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Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

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Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

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Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Let's find dimension for minimum cost of given rectangular box.

Q: Find Inz3 -dz

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Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: 5. Find an expression for y4) if y =e-'sin t.

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Q: fle 30 4) de 3e +1

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Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

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: Integrate using Partial Fraction Decompositio

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Q: (ax-2) dx x2+ 2X + 15

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Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: 8. The general solution of y" + 4y = 3 sin 2x

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Q: dy Find dx Given: 3y2 – 5xy2 + 2x +2 = 0

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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: 7. Simplify tan n(cos" () ( cos-1

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