Simplify 3 tan x cos x cot x (1/3)cosx 1 + cosx 3cosx

Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

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Q: Use any method to determine whether the series converge. (a) 11k k=1 8.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: ts Let the graph below be the graph of one wavelength (period) of f. Then f(x) = . 3. 2 -2 -3 03 sin...

A: Let's find. 

Q: Find an equation of the tangent line to f(x)=-x – 4x at the point (-1,5).

A: The above question is answered in next step and we can find the equation of the tangent line

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

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Q: Use integration by parts to evaluate the definite integral te dt. CHECK ANSWER

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Q: Differentiate. t- Vt g(t) : g'(t) = Need Help? Read It

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) [ f...

Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C -7 f -$ -4 -B O 1 2...

A: Graph of the function is given, we have to find the following limits.

Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...

A: We need to find the equation of transformed graph red using the graph of parent function green.

Q: You invest $2100 in an account at an interest rate r, compounded continuously. Find the time require...

A: Continuous compounding interest is given byP(t)=P0ertP(t)=value at time t P0=original principal sum ...

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,     ...

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Q: 1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following state...

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Q: 2. y = (x² – 3)²

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wid...

A: Trapezoidal  and geometrical area 

Q: ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval...

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Q: x 2 Graph of f The function fis continuous for -4 <x54. The graph off shown above consists of five l...

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Q: onsider the equation below. (If an answer does not exist, enter DNE.) f(x) x² + 4 (a) Find the inter...

A: I have done the red cross part of the question mention

Q: In the answer box below, type an exact answer only (i.e. no decímals). You do not need to fully simp...

A: Given sinβ=2029Also, π2&lt;β&lt;π

Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: If sine = a, then csce = 01 O a O 1/a

A: cscθ is inverse of sinθ

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: Sam can swim at 6 m/s in still water. He wishes to swim across a river which flows downstream at 2 m...

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Q: Use the difference a+1 an to show that the given sequence {an} is strictly increasing or strictly de...

A: The given sequence,      n7n-6n=1+∞

Q: (1/cscx)(1/sinx) = %3D sin?x 1 csc?x

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Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: What is the magnitude of the resultant of the two force vectors shown in the diagram? (-2,3) 3- 2- (...

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Q: Suppose f is known to be differentiable and contains a local extremum at c, then which of the follow...

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Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

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Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = + 4...

A: The equation of the family of parabolas with vertex and focus on y axis

Q: ate the Power Reducing Identities for sine, cosine, and tangent: s²(N) an²(N)

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  use the root test...

Q: Examples: Find the limits of the following: 1. lim sinx = sin1 2. lim cosx= cos (-1")= 7 x-1* 3. lim...

A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

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Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0 ...

A: To find the first derivative of y using the given equation.

Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: 32. Solve the differential equation y" + 5y + 6y = 0 when y (0) = -1, y (1) = 3 O y = 3e - 5e*r O y ...

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Q: Use the difference an+1 - an to show that the sequence {n – 11"} +00 | is strictly increasing or str...

A: see below the answer and calculation

Q: Evalmate: 3/2 Cas 3x) dx

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