Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t. Find the values of sec t, csc t, and cot t. 1 V3 P =

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Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 &amp; b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

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Q: hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the r...

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

A: y'= ex  y"= ex  y'"= ex 

Q: 1. Find the volume of the solid bounded by the paraboloids z = 6- x² - y and z = 2x? + 2y2.Use polar...

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Q: vas y dS

A: Use simple integration formula.

Q: Solve z+z +1= 0 by obtaining the roots. Answer a. b(1+jv3), }(-1± N) 幸 d. (1+ jv/3), (-1±jv3)

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=14q+550​, find the quantity when profit is ...

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Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: dx -= In[F(x)]+C• What is F(/3) if C = 0? For J (x+x³) (x Tan-'x+1) + 6 + -1 +

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Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: sinx sinx +x Cosx - e +e The integral dx may be written as me nsinx + px + qe +C, where m, n, p, q, ...

A: Given that a integration first we solve this integration and then we compare to given equations and ...

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Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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Q: A small town is known to grow its population at a rate proportional to the population at any time. A...

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Q: 10. f"(t) + 3f'(t) + 2f(t) = 0; ƒ (0) = 1 and f'(0) = 0 %3D %3D

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Q: 8. y = In(x + V +1)

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Q: 2+ x², ={ 1 2* +2, 4 -2 <x<0 f(x)dx; f(x) 0<x<4

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

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Q: Given cost and price​ (demand) functions C(q)=120q+43,000 and p(q)=−1.9q+850​, how many items must b...

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Q: Let f(x)=4x^2lnx f'(e^3)=

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A: Solved below

Q: The antiderivative of f(x), denoted by Ax), exhibits an odd symmetry i.e., it satisfies the property...

A: We will solve this problem in some steps

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can ...

Q: e* dx? e* – e -> What is the integrable form of du ? du

A: Explained below 

Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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