If a and B, are two angles in standard position in Quadrant II, find sin(a - B) for the given fun 5 and tan B = . 12 sin a = O -63/65 O 33/65 O -33/65 O 63/65

Q: . Use a tree diagram to write out the Chain Rule for the R= f(u,v, w), where u = u(p,q,r, s), v = v(...

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A: The given series is: ∑n=1∞(n!)n(nn)8

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: Find the determinant of х 3 x2 5x2 O none of these

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Q: 1+ cosx + sinx sinx 1+cos x 2sec x 2csc x 2csc 2x 2sec 2x X.

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Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: 22 Choose only two: (- A) Graph the two equations and find the points in which the graphs intersect....

A: To answer the given question about the parabolas.

Q: Discuss the solution of piven ODE in form of table x* - y ;y(0) = 1 take h = (0.05 in the interval [...

A: Using euler method. 

Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this interv...

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Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area ...

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: 3. f(x)=2cot(x-→+1 Period: f(x) Vertical Shift Horizontal Shift Start End: Increments:

A: According to question,Given function,fx = 2 cotx - π2+1

Q: The distance between the points (1,-2,1) and (5,1,4)

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Q: ly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it is coo...

A: Topic:- algebra

Q: 2x – x3 1. Evaluate dx. (x – 1)²(x² + 1)

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Q: Find the Maclaurin polynomials of orders n=0,1,2,3  and 4, and then find the nth Maclaurin polynomia...

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Q: Н. Š(-1)"10" п! n=1

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Q: For the function y f(x), it was found out that f"(C) = 0. What can be said that x=c ? critical point...

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Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given

Q: 5. Prove the following identity 1- cos x tan? %3D 1+ cos x

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Q: Evaluate the following limits 5 a) limx-0- 5 5 b) limx-o+ 5 c) limx-0 x3

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Q: Consider two interconnected tanks. Tank 1 initially contains 55 gal of water and a oz of salt, and T...

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: The function has a relative maximum of 16 at x=| 46 (Use a comma to separate answers as needed.) 42 ...

A: Here we see that critical points of f(x) is -2,0,2  

Q: Simplify the expression cos2x + cos x + sin2 x + 1

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Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x...

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Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work...

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A = ...

Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57 whe...

A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

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Q: 1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1

A: We know that, -1 ≤ sinx ≤ 1 for all real x  

Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for 0<x...

A: Topic:- application of derivatives

Q: 1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). ...

A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

Q: For each of the following matrices, either find its inverse or say how you know it isn't invertible....

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: 2.2.7 Exercise Let X be a nonempty set and S the smallest o-algebra in X which contains all singleto...

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Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

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Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)= h[...

Q: Find the absolute maxima and minima of the function on D, where D is the closed triangular region wi...

A: Maxima minima

Q: Find the Taylor polynomials of orders n = and then find the nth Taylor polynomial for the function i...

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Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: Which of the following functions is differentiable for all values of x? a. fAx) = 2r' + 5x² b. f(x)=...

A: Given problem:-

Q: n/4_sec²x a. Jo dx 1-tanx

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Q: 5. (x + 3): (5y - 2) = 1:4 and 2x + 3y = 4 6. x: y:z- 1:2:4 and x +y +z= 112 (x + y): (y - 2): 2 = 5...

A: solve the equations

Q: Directions: Evaluate the following. Show ALL necessary solutions. x³+2x²-1 1. lim x--2 5-3x 2. lim v...

A: In this question we have to find the limits. Note: As per our policy we are suppose to do only 1st t...