Evaluate the trigonometric functions at the special angles. Match the function with its value. 1. cos (-45 degrees) 3 2.1 Csc 225 degrees cot 45 degrees 2 4.- V2 tan 30 degrees 5. 2 sin 60 degrees 6. sec 300 degrees 3.

Q: Find curl (4z i + 5x j+ 3y k).

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Q: alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

A: We can  solve 2 problems only.

Q: sec 1.)S Intanßtanß dß

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Q: Radius and Interval of Convergence of a Power Series. 00 Determine the radius and interval of…

A: Solve the following

Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the line x = 4. Using circula…

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Q: dz and dy dz Suppose z is a function of x and y, and tan Vy² + x2 = 2"e®y_ Solve for

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Q: (п+1 c) Σ-1 3η2 b) En=1(-1)" (41) Inn a) En=3 (in (Inn).

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Q: 1000 V(x) dæ. Be sure that you can explain in words the meaning of this integral. What are the units…

A: Given:-unit of V(x) is decibels/minunit of dxchange in x  is m

Q: 21. 3* 3=*-x+'(12x² – 4) dx

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: lim sec x x-(-71/2)"

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Find the area between the curves f(x) = x2+2x+1 and g(x) = x+1

A: We need to find area between given curves.

Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

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Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

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Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: 5. If fvr² - 25 5. If [ Vx? - 25 dx is transformed by trigonometric substitution, then it will be…

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Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

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Q: e equation (2 cose – 1)(3 + tane) = 0 over the interval [0, 27]. solving for trig functions,…

A: We will solve the equation.

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

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Q: Solve the following differential equations: . 2y ++ e* (1+) dx + (x+ 2y)dy = 0.

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Q: If f(x) = /8 +r² dt , find f'(1).

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Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: Solve using product rule d(uv) = u dv + v du: f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: 3. Find the binomial series for (1+x)3 4. Use the result in problem 3 to give a power series…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L&lt;1 then…

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Solve the following

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: The integral of the given function sin³x cos x dx is equal to а. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

A: To evaluate: I=∫0π2sin3x cos x dx

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: Let f(x) = - 5 sec(6x) f (x) =

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Q: Determine if each series converges or diverges. Justify your reasoning. 1 A. - k k=1 k2 k+ln k ak…

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Q: A job applicant estimates that his chance of passing a qualifying examination is , and his chance of…

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Q: Find the nth term of the arithmetic sequence (a wh a, = 4; d = What is the nth term of the…

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Q: Determine the area of the given region. y = x + sin x y 4 3

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Q: Find lim, x4x+3 X-5x+6 X-X

A: Given query is to find the limit of the expression.

Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: Step Solve for c. Use inverse trigonometric functions to find the value of c guaranteed by the Mean…

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Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: Question 21 (-1 )dr In (z + a+ 1) + v3 sin In ( + + 1)-3 tan O 2 In(z +a + 1)-V3 sin () 2 lu(r i…

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