Find cos 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. cos e = 17

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Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

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Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: A vector valued function in the form of  r (t) = f(t) i +g(t) j +h(t) k is continuous at the…

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

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Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

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Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= <4,-1,7>            b =< 4,4,-7 >

Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=<-1,6,2>   or -1 i+6 j +2 k…

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: 4 -2x?y = 1 r = sin(0) (b) Pick a coordinate that lies on the graph of the equation you picked from…

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Q: Solve the area of the surface of the revolution generated by revolving the arc of the curve, x= y³…

A: A detailed solution is given below.

Q: 11. y'+3y = 3x2e-3x %3D

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: If A and B are similar, then there exists a matrix P such that Bk = P-1AKP., Use this fact to find…

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A: Find your answer below

Q: 14

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: 1. Determine the absolute extrema of f(z) = (sin a – 1) cos z on -. 2 if they exist, and identify…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: integral all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: llowing series determine if the series converges or diverges cence or divergence. (e) Alternating…

A: We have to check the given series is converges or diverges according to the given information

Q: What is the average value of y= cos x on the closed interval -13]2 (A) -0.085 (B) 0.090 (C) 0.183 D)…

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Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Use the formula k(t) : ||r(t) × r"(t|| to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk K(t) =

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Q: 11T If 0 = then 6 sin(0) = cos(0) Give exact values. No decimals allowed!

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Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

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Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A: A detailed solution is given below