Find the exact value of sin20 given sece = 5/21 and csce > 0 21 - Solve tho nauation

Q: 25 1. If cscy = 24 %3D

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Use the derivative to find the critical point of f(x) = Ax² + Bx + C. Assume that A, B, and C are no...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If...

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 4 2 1 2 4 3 1 3 2 4 4 2 1 h'...

A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

Q: Graph the functions in Exercises. of the function on the interval and say where they occur. Then fin...

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Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Given the triangle below, find cos(0). Enter the answer as a fraction. 29 21 20

A: This question is based on trigonometric ratios.

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Find a formula for the nth term of the arithmetic sequence. a1=1, d=5 an=

A: The first term of the arithmetic sequence, a1 = 1 Common difference, d = 5 Formula : an = a1+n-1d To...

Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a + y - 4x + 10y +...

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Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: -Find the equation (standard form) of the circle that passes through the point (6,5) that is centere...

A: topic - equation of a circle

Q: Find the equation of the tangent plane to the surface z = e17 In(1y) at the point (-3, 1,0). Note: Y...

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Q: What is the slope-intercept form of the equation of the tangent line to y=x²+2x at x=0?

A: At x = 0, y = 0+0 =0  So, the tangent line passes through (0,0) .

Q: Let f(x) = 4 sec(7x) f'(x) =

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Q: Use the given graphs to sketch the parametric curve x=f(t), y= g (t). x=f(t) y =g(t) 2 2 -1 2 -2 -1 ...

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Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

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Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular...

A: Given query is to find the cost of the pool.  

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square an...

A: Length of the wire = 4 m,  One piece is bent into the shape of a square and the other into a rectang...

Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y = x()...

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....

Q: 12) y"-3y' +2y=0, y(0) =-1, y'(0) = 0

A: topic - differential equations

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: (a) Use the power-law expansion for eox and sin(nx) near x = 0 to approximate the integrand as a cub...

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Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: satellite is moving in an elliptical orbit about a planet. The equation of its planar orbit is 3x? -...

A: Given query is to find the velocity in x direction.

Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...

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Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: Which of the following is another point on the tangent line of f(x) = x³ at the point (1, 1)? (3, 6)...

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Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: Find the function value at first derivative 1. if f'(x) = (x* - 2)(x* - 5) find f(-1) 2. if f(x) = f...

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Q: +00 1 4n2 – 8n + 3 n=1

A: The given series,       ∑n=1+∞14n2-8n+3

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: 3sin(x) lim tan(2x)

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Q: Jse the quotient property of logarithms to write the logarithm as a difference of logarithms. Then s...

A: Formula:lnab=ln(a)-ln(b)

Q: Evaluate: I|(3x2 +9y2)dxdy. Use inner limits 0 to y and the outer limits 0 to 2. О а. 35 O b.30 C. 4...

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Q: If f(x) = 21, find f'(– 10).

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Q: Solve the following problems: 1. On March 2020, a woman was said to be exactly 3 months pregnant. Ho...

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Q: Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 co...

A: Given : Instead of weighing all of the cows: Robert weighs 25 cows and gets an average weight of 1,5...

Q: Consider the function f(z) = 8/I + 5 on the interval [1, 8]. Find the average or mean slope of the %...

A: f(x)=8x+5  Interval : [1,8] Mean slope,m is given by the formula: m=f(x2)-f(x1)x2-x1 So, m=f(8)-f(1)...

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: This question can be solved using the concept of rate of change of quantities.

Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the d...

Q: (b) Write the function from part (a) as an exponential function of the form y=ae". Round b to four d...

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