In Exercises 33-36, the terminal side of 0 lies on the given line in the specified quadrant. Find the exact values of the six trigonometric functions of 0 by finding a point on the line. Line Quadrant 33. у 3D —х II 34. у %3D х II 35. 2x – y = 0 I 36. 4х + Зу %3D 0 IV

Q: 2 2 -x+2x- 2, x>0

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A: find fx and alimh→06h-1h

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A: To Find: Using Newton-Raphson approximate the value of x where the relative maximum value of y is at...

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A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic = Volume

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A: Topic = Polynomial   To find the degree of the polynomial, add up the exponents of each term and sel...

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Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: Find all the local maxima, local minima, and saddle points of the given function. f(x.y) = x? + xy +...

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Q: What is an antiderivative of x+2 ? x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1

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Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is (fg)...

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: Question 21 Find the antiderivative of f 5sin x* In 5 cos x dx. A.) 5cosx + C В.) 5sinx + C C.) 5sin...

A: To find:- ∫ 5sin(x) ln(5) cos(x) dx

Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

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Q: Hannah buys 2 dozen roses. Of these roses, are red, and the rest are white. How many white roses doe...

A: We need to find number of white roses.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field -6y + 1 C 6ху? a. ob. -6ху —1 ...

A: Apply integral form 

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

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Q: ind the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is 16...

A: Topic = Triangle

Q: What is the position function?

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Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t2, y = 4t, 0sts1 N...

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Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

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Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x2 and f(x) = - x+ 2. Use the eq...

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Q: Given the differential equation y" - 4y' + 4y = - 3x2 e-5x Find the Differential Operator for the Le...

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Q: Step by Step Solve by Monges, given the partial differential equation  q2-2pqs+p2t=pt-qs,

A: This question is based on monge's method .....by the help of this method we got the desired solution...

Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: In Problems 63-68, find f' (x) and find the value(s) of x where the tangent line is horizontal. 65. ...

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Q: A tree on a hillside casts a shadow c = 230 ft down the hill. If the angle of inclination of the hil...

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Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: uity?

A: We will find the functional value at x=2.

Q: 9. There is an infinite discontinuity 10. There ts a Jump discontinulty at x = 0 and f(0) = -2 at x ...

A: An infinite discontinuity is a type of discontinuity where one or both of the one sided limit go tow...

Q: VI– 2e* dx

A: Given that a integration and we solve the solution of this integration by using general property of ...

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x...

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Q: Find the Interior angles of the triangle whose vertices are (-1, -3, -4), (4, -2, -7) and (2, 3, -8)...

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Q: *The limit of a function Evaluate the given limits numerically (using table of values) and graphical...

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Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6