lim, -r(csc Tx )(Inx)] -TC

Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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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: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: Evaluate the integral (show clear work!): xsin x dx

A: Use formula of integration of parts method

Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: (29) Evaluate the integral: csc² rdx. r/4

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Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: z(0) - 2, y(0) 8.

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Q: (22) Find the derivative of f(2)

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Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: Change the following rec 15. x = 6y + 8 %3D

A: The given equation is x+6y=8.

Q: 3. Determine whether the series E-1(-1)" * CoS ) is conditionally

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Q: Graph the solution set. XI > 1 OA. -11 -10 O B -11 -10 10 11 Oc. + -11 -10 -6 -3 10 11 O D. + -11…

A: Given that |x|>1 . We need to find out the solution set graphically.

Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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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 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: 1 3c+6+2 J +3z+2 Evaluate:

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Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 1 (27) Evaluate the integral: (5t + 4)2.7

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Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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Q: dx 6. J Vx2-4x+13

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the limit, using L'Hopital's Rule if necessary. In x lim

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Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: Consider the following limt. lim - (x + 5) Find the Iimit L. (a) Find 8 > O such that |fx) - L| O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find dy If y=1-t and x2 dx

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Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

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Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: 3. X Cos X dx COS

A: On solving this we will get

Q: How many radians has the hand of a clock turned from 12:00 to 4:00?

A: A clock is divided into 12 sectors and each sector is represents an angle of (2π/12) = π/6 rad.So,…

Q: Find the function value. If the result is irrational, round your Let f(x) = . Find f(2). 3 O A. 5 9…

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Q: A car starts from rest at time t 0 and accelerates with acceleration a(t) = –0.6t + 4-meters sec^2…

A: Here, a(t)=-0.6t+4⇒v(t)=∫a(t) dt⇒v(t)=∫-0.6t+4dt⇒v(t)=-0.3t2+4t is the velocity function.

Q: 1. If sin 0 =, and 0 is in QI, find sec 0. 2. Given cos e = .e is in QIV, find csc 0. 3

A: We have to find out the trigonometric ratios

Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: Solve and graph the inequality. Give answer in interval notation. -3< - 3x59 O A. (-1,3] O B. [-3,1]…

A: The correct answer for above question is

Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: find p, when it converges

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Q: Write an equation for the line that passes through the point (7, - 4) and is perpendicular to 3x -…

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