Use Desmos to graph y = cos x, y = cos (2x), and y = cos x+ cos (2x) for x>0.Compare and contrast the three graphs.

Q: 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches ...

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Q: A weight is hanging at rest from a spring. It is pulled down 6 cm. and released at time 0 second. As...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: To find the volume of region generated by revolving the region bounded by the curve y=2x2,y=0,x=0 &a...

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Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

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Q: I Eliminate the arbitrary constants x = k +ct , y = c²t2

A: Find your answer below 

Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: Consider the function the following rational function 10+ 4. -8 -6 -4 -2 -4 -6 -8 -10+ 1. The equati...

A: We have to determine vertical and horizontal asymptote

Q: (cos n) Find the limit of the sequence an ||

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Q: 20/40) ty' + (t + 1)y = t, y(ln 2) = 1, t >0

A: Given, ty'+(t+1)y=t And initial condition y(ln2)=1

Q: 1. Find all possible points of discontinuity and classify each discontinuity as removable, jump esse...

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Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

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Q: _6. What is the derivative of f(x) = (5 – x²)²? а. 2(5- х2) b. 10 – 2x2 C. 4x3 – 20x d.(5 - x?)(5 - ...

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Q: Solve the maxima/minima problem. Show figure. Find the dimensions of the right circular cone of grea...

A: I am attaching image so that you understand each and every step.

Q: A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a p...

A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard proced...

Q: Solve the given differential equation. x2y" + 13xy' + 36y = 0 y(x) = ,x > 0

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Q: Evaluate the following integral: 7 dx = 团+C 2 V2 – - 49 – 49 Note that an arbitrary constant has bee...

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Q: 14. у %3D Sin-1 (Зх - 1) -3 3 Od. T-9x +6x Зх-1 O0. -9x+6x OCT-9x+6x Oa. V1-(3x-1)

A: Let's find. 

Q: e Evaluate the integral -dx. You may need to do the appropriate substitution first. x3

A: See the details solution in below

Q: y'-5y = x²e* – xe³*

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Q: Find the derivatives c %3D b)' y = e(4*+) c) y = e*(sin x %3D d) y = In(3xe-> %3D

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Q: Indefinite integral (1/((x^2)-6x+b)dx How could I calculate the b value using u-substitution and par...

A: Given :∫1x2-6x+bdxTo find :  How could I calculate the b value using u-substitution and partial frac...

Q: In each of the following, find the partial derivatives. 1 (d) f(r, y) : 1

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Q: 4х — 7 TI Let f(x) Find the open X + 2 intervals on which f is concave up (down). Then determine the...

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Q: Y = logio (x? + 9) %3D

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Q: 2 ext 5. g(x) = .x+1.

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Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:  

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Title: Differentiation Rules Tasks: Solve the following problems completely and accurately. Use the ...

A: Given :1. C(t)=10(9e-20t+1)-1 2. F(t)=1000t2+1To find : C'(t) and verify that C'(t)>0 and F'(5)....

Q: Integral

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Q: 23 T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why.

A: Here we use the definition of the complementary angles.

Q: Use any method to determine whether the series converge 1 (a) E k + 5k + 1 k=1 This series 1 (b) E; ...

A: We have to find convergence of series

Q: 1) lim (- sin x

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Q: What is the equivalent degree angle measure for the radian angle measure? Select all correct stateme...

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

Q: cos°( VJ) y ycsc y

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

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Q: y = tan-x +1

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Q: IV. Write the Laplace Transforms Given f(t) Laplace Transforms f(t) = t3 – 4t2 + 5

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Q: Calculate the volume of a solid enclosed by the following equations z=x? +1, x=6, y=5 and the three ...

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Q: dy Solve the differential equation 1-y? %3D dx

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: I = 4 f,³ Lº e-r*v dv d0 = 4. de [-÷e- = 4 · L d0 = 4 x 6 d0

A: Given query is to explain the step of the integral.

Q: show complete and detailed solution of the differential equation. NO SHORTCUT!!! sinydy + (x-sin2y)...

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Q: The decay rate, k, for a particular radioactive element is 1.9%, where time is measured in years. Fi...

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Q: Sin x 10. y = 2+Cos x 3 2+Cos x Ob. (2+Cos x)? Cos x C. (1+Cos x)2 1+2 Cos x d. (2+Cos x)? Oa. (2+Co...

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

A: Given: I=∫-∞122x-32dx   We know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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