cos (0) + sec (-0) tan(0)sin (20) 5. Simplify the following expression:

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

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

Q: Given the triangle 14 find the length of side a using the Law of Sines. Round your final answer 39°…

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Q: 1. Find the area bounded by: y=x³+1 and y=x+1.

A: topic - Area bounded by curves

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

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Q: In da V3+(In a) Evaluate: A. V5 - V2 B. V1+ e2 - 1+e C. V3+ ve D. V7– 2 E. NO correct choices.

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Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

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Q: Answer unclear

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Q: Determine whether the SERIES converges or diverges. If it converges, find its SUM: n+2 n%3D2 A. It…

A: We have to find sum

Q: The general solution of (D²+2D+1)(D²+4)y=0 @ -+Ceª A y=(C,+Cx)e*+C;e B none of the given choices ©…

A: We have to find out the solutions

Q: dy Use implicit differentiation to determine dz given the equation zy + cos(z) = e".

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Q: Find the function F(x) such that F' (x) = 8x and F(0) = 1 O 1+4x^2 O 4x^2

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Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

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Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: Question 3. Find f/ (x). If f(x) = tan-1x? %3D

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Q: Using the method of undetermined coefficients, what is the modif ied form for a particular solution…

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Q: 1+エ da. -dx. Evaluate the integral:

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Q: Question 3. Find f/(x). If f(x) = tan-1x?

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Q: 06. lim, ,xCsC x xcsC X

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

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Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: Assume Za is opposite side a, Zß is opposite side b, and Zy is opposite side c Solve triangle ABC if…

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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: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: 2. Which cannot be represented by a scalar? a. speed b. velocity с. area d. mass

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Q: MY NOTE A projectile is shot upward from the surface of Earth with an Initial velocity of 140 meters…

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

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Q: nd 4 and using L'Hôpttal's Rule.

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Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

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Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

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Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: Q4) Solve the boundary value problem y - 3y + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5 %3D

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Q: QUESTION 3 The function r(x) is defined as follows: - 2x, x<-1 r(x)= 3x, x2-1 Determine whether r(x)…

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Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

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Q: Completely factor the polynomial f(x) = x +7x? + 10x.

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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: 3. Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100…

A: topic- Lowest Common multiple

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2)

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Q: -2ln(cosx 03. lim,0 .2

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Q: y+4 =-V2x

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Work=Distance*density*volume   Distance=9-ydensity=ρvolume=πx2×dyas it is cylinder , x = r…

Q: Determine the area of the given region. 3. Region between f(x) = x - 4x and g(x) = x.

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Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

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Q: 8 3 Jo V1+x dx

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