Let be an acute angle. 21 a) Given: sine 295 b) Given: cose = √√5 c) Given: sine =- 3' √√3 9 2 evaluate the other five trigonometric functions. sec Cos 21 evaluate the other five trigonometric functions. evaluate the other five trigonometric functions.

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Q: 3. 4. What is the angle in degrees? A. 30° B. 45° What is the complement of 45°? A. 45° B. 55° C.…

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Q: 6) logg√3 7) log₁6 8) log4 8

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Q: Given that logb √w = 7, and log x= -6, 1096 y = -9

A: Given query is to find value of indicated expression.

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A: Given query is to find the value of c.

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A: we know that   ∫xndx=xn+1n+1+cdxndx=nxn-1

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Q: 구 s2+75+16)

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Q: R (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and…

A: Note:- As per student request i am solving part d of 6th question.

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A: Put value and solve

Q: Find the vertices, foci, & of the asymptotes Hyperbola & Sketch its graph 25x²-9y² = 225

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Q: (a) 2 P₁² (20- 1 (x-1)e(x-1)² dx

A: We have to solve this definite integral  Which can be solve by using substitution method.

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Q: 1. adß+ ßda+aß(3da+dB) = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Evaluate the cylindrical coordinate integral * 0/2* 3+26r² SS S dz r dr dº 00 0

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Q: 36 identical tasks are distributed to 9 different people. Each task is assigned to exactly one…

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Q: The first three terms of the Taylor series for COS approximation D a) 0.8092 b) 0.8089 c) 0.8090 d)…

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Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: A jogger runs around a circular track of radius 70 ft. Let (x, y) be her coordinates, where the…

A: GivenA jogger runs around a circular track of radius 70 ft.The coordinates of the jogger at any time…

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Q: forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) = 5√t…

A: Topic:- application of integration

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find the slope of the line tangent to the following polar curves at the given points.

A: According to question,Given Polar curve,r2 = 4 cos 2θ

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: 1. Given that f(x) = -5x² + 2x - 6, find: f(x+h)-f(x) (a) 4f(x)-f(2) (b)

A: To find the values of given expression using f(x)

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A: Given: y'(t)= (y-2)(3+y)

Q: Find the area of the shaded region. r² = sin(20) L

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Q: The following polar equation describes a circle in rectangular coordinates: Locate its center on the…

A: NOTE: Refresh your page if you can't see any equations. . use the polar to cartesian substitution…

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material…

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Q: Determine an equation for the level surface of g that would pass through the pointa: (-7, -2, 5).…

A: We need to find level surface.

Q: Consider the following. '11 du = Jo 7 √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: siven that f(x) 3x+2 find f (x)

A: Given query is to find inverse function.

Q: 1. (y-x+xy cotx) dx + xdy = 0

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine the growth constant of the equation. / - y = 0

A: Given: Now,                12y'-y=0⇒y'-2y=0⇒y'=2y⇒dyy=2dxIntegrating both sides, ⇒∫dyy=∫2dx⇒ln…

Q: Give the equation of the tangent line to the graph of the function y = ln(e+z) at x = 0. Give your…

A: equation is   y=mx+cwhere m is slope and m=dydxd dx(lnx)=1xwe know that  lne=1

Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

A: Here we have to find the given integral by using substitution method.

Q: :) т www 1 kla

A: Given query is find the equation of the graph.

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A: Given function  y=e-xcos2x

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A: use differentiation and inflection points for finding the value of r.

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A: dtndt=ntn-1formula is speed =dsdtaccelaration=d2sdt2

Q: 6. Convert from Rectangular to Polar Coordinates: (x,y) → (r,0). (-3,-4)

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Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

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Q: The graph below is the function f(x) 5 4

A: From Graph : f(2) = 1limx→2f(x)=2≠f(2) Therefore limit does not existThe function is not continuous…

Q: An airline finds that if it prices a cross-country ticket at $200, it will sell 400 tickets per day.…

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Q: Consider the function f(x) = 12x5 + 60x4 100x³ + 6. f(x) has inflection points at (reading from left…

A: Let's find inflection points of given function.

Q: In the right traingle in the figure below, if cos A = the triangle has what length? 2 , and the side…

A: we know that cos(x)=basehypotenuse