Find a positive and a negative coterminal angle for each given angle 9) 285° 10) -225° 25T 11) 12) - 18

Q: What is the long term behavior of the solution with the initial condition (-2, 2)? 3 1 -1 5A4 -2 514...

A: Find your answer below 

Q: 2. / 3" csc²(3") sin“(3") da (3") sin®(3") dx

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Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter yo...

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

Q: Use cofunctions of complementary angles to find θ where cos(17deg) = sin(θ). Use logarithm properti...

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Q: .3 dx

A: Definite and indefinite integral 

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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Q: Given the: 7(t) = (cos (3t), 4t, sin (3t)) Find the folowing: show complete solution a. unit tangent...

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Q: V1+x3 dx [6] S (7) (ax2a (x2a+1)*dx x-2 ах2а (7] S

A: Given: (1)   ∫1+x33x-2dx (2)  ∫ax2ax2a+13xdx

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: ADDITIONAL ACTIVITIES A. Calculate the following. Write only the answer 12! 1. 5!-3! 4. 4!(10-1)! 3!...

A: According to guidelines we solve only first three parts. So, again upload 5th question. Thank you. 

Q: Use the Laws of logarithms to rewrite the expression x°y13 log zl1 ,5,13 in a form with no logarithm...

A: Given query is to find the value of A,B and C.

Q: 5. Given that r(t) = 3i + e* sin tj + e cos tk Find equations of the normal plane and osculation pla...

A: We have to  find equation of normal and oscillating plane of above curve. 

Q: -1 4x° sec x dx

A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...

Q: x1 x + dx

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Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: A spacecraft launches from the International Space Station and flies directly away from the earth at...

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Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

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Q: Solve the given differential equation. All solutions should be found. dy e9 +13y da NOTE: Usec for t...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 2n2 + 9n + 5 an ...

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Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: Find the solution of the given initial value problem. cos t y%3D t 1 y' y(T) = 0, t >0 - t-1 y(t)

A: The given equation is; y'-y/t =cost/t-1; y(π)=0.

Q: Find the solution of the given initial value problem. ty' + 4y = t –t+ 5, y(1) = 4, t >0

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Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans. h'(x...

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Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C 2x3+x-+5x...

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Q: S sec*x csc*x dx

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Q: 2/3 if fox)= 3x- point A(8,2) to B (27,17) l0, find the length of the graph of f frome

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Q: Evaluate the following limits. (b) lim v9r² – 5x + 3x

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Q: Find the inflection points of each of the given curve.  3y = x3 + 3x2 – 9x + 3

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Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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Q: An alternating series is one whose terms alternate between even and odd.

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Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy...

A: To find the derivative of yx=ln9lnx7.  

Q: S(x+)* dx- X.

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1n+1+C ; n≠-1 And The sum/differenc...

Q: S cos²(2x)dx

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Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

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Q: Given the graph of f(x) below, which of the following limits exist? o a lim, s f(z) O b. lim,, 3S(z)...

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Q: sin –9xdx

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Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's ve...

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Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that ...

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: If a curve f(x) has = (y – 1) (2+ x) and passes through the point (-1,2), then what is dx the equati...

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Q: 27. w = ry + yz+ za, x=r cos 0, y=r sin 0, z = r0; dw dw when r = 2, 0 = 1/2 dr' de

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Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing th...

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Q: 3 V1+x³ [6] S dx > x-2

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