Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression cosr(secr cosr) 512

Q: 15 – 2x Evaluate -dx (x- 4)(2x²– 6x +9) Then, write the coefficient of the integral: Blank 1 In|x – ...

A: Using the partial fraction to solve this integration. 

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation o...

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: How many items are demanded at a price of $30?

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Q: 1 7) Find the antiderivative: S 3x2-6x+12

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Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

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Q: V4-9x2dx (Use trigonometric Substitution) Evaluate 3x Then, write the coefficient of the integral: B...

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

A: Check each function that it has positive integer powe of x or not in its each term. 

Q: 18) 4y"+4y'+17y=0

A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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

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Q: Determine the interval of convergence of 5 –1)"3nx" n² – 5 n=1

A: Use the ratio and find the limit then check for convergence. 

Q: dive gent.write the Determine whether the series is test that you Use. convergent nt1 n=3

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Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the mat...

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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: Market resear ice cream company price per cup of ice cream is P50.00, the demand will be 1200 cups, ...

A: Solution is here

Q: 2n n=1 п+ en

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Q: Question Select your answer. Given f(x) 1 and a = -3, find f'(a). 1 1 9. 1 1 9 Answer

A: We have given function  fx=-5x+4x2 f'x=ddxfx f'x=-5dxdx+4ddxx2 f'x=-5+42x f'x=-5+8x Put x=2 f'2=-5+8...

Q: (a) Find the differential dy. y = eX/5 dy = 4 (b) Evaluate dy for the given values of x and dx. x = ...

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Q: Which of the following is the solution to the differential equation with the initial condition y (3)...

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Q: Find the sbe and equation of the TANGENT and NORMAL LINE to the curve Graph cach curve, Kormal, and ...

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Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.

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Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: show all working so it is easily understandable The number of women in the workforce, based on data...

A: Topic:- Geometry

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

A: topic - differential equations

Q: Consider the indefinite integral *7x³ + 9x² + 12x + 24 -dx x4 + 4x2

A: Given,            ∫7x3+9x2+12x+24x4+4x2To find : The partial fractions decomposition.

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: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be...

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Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: (b) ) п? + 2n n=1

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 33.2x = y? F...

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Q: increasing decreasing

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Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundre...

A: Given query is to find the rate of change of supply.

Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2

A: Given: - The curve is, y3+y2+10=(x+1)2 and the lines are y=-2 and y=2 To solve: - The area bounded b...

Q: ) You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40-4...

A: Find your answer below 

Q: II. Determine whether the following sequence is convergent or divergent. Justify your answer. {Vñ- V...

A: Given sequence is an=n-n+1 a sequence is said to be convergent if its limit exist 

Q: 14) 4y" +4y'+ y 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

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Q: please solve it fast )

A: In this question we will use basic concepts of algebra i.e concepts of combination. Solution of the ...

Q: f (х) — (х — 1) (х — 3) 12

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3 ...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

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

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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: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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

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Q: Problem 1. Let v = = (4, –2, -4) be a vector in R³. (a) Find a unit vector in the direction of v. (b...

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Q: Question Select your answer. Vhat is the equation of the tangent line to the function F(x) = x? + 2x...

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Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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