Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j + 4tk; t= 2 NOTE: Enter the exact, simplified answers. = 34 ||

Q: Given the power series 00 2" (x + 4)" n =0 n! Find the "Radius of Convergence" for the series. (A L…

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A: Given query is to find the position function.

Q: Determine whether the integral is improper (x = 4) -'dx A Not improper B Improper

A: Both limits are finite and function is define at given limits. So, it is proper intrgral.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along b is: Vector component of v…

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Q: 2x3 – 9x2 + 11 dx x2 – 4x + 1

A: We know, ∫dxx=lnx ∫xndx=xn+1n+1 for any real number n.

Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: As we know that n-th term of an arithmetic series is    a+n-1d, where a = 1st term and d= difference…

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y² + z2 (5,…

A: I have calculated upto eq (1) above because it is easy to calculate max value from there. You do…

Q: xdy- ydx 4. The exact differential d what is the

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Q: Consider a triangle ABC like the one below. Suppose that a= 32, b= 37, and A=30°. (The figure is not…

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Q: Suppose f(x) dæ = A. Explain graphically what the value of the integral below is when %3D f (x) is…

A: Suppose ∫0afx dx=A. To explain graphically what the value of the integral below is when fx is an odd…

Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

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Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to × from the parametric…

A: Question 4,Given,            x=1-t , y=t3-3tTo find : Find the second derivative of y with respect…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

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Q: Find the critical points of the function 2 8 f(x) = 11/4 11 Use a comma to separate multiple…

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Q: TT sec (2x) tan(2x) dx T/3 8T

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Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, 2) =…

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Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: dr

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

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Q: Find the derivative of the following functions and simply it whenever possible. 10. y = x4(1-ln x4)

A: Let's find.

Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

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Q: 1. The linear differential equation dx has the integrating factor equal to (Note: Simplify or solve…

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Q: . Integrating factors found by inspection.: y(x² – y² +1)dx–x(x² – y² -1\dy = 0

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Q: Find the area of the shaded region. r = V cos20 r = 6 cos 0 NOTE: Enter the exact answer. A

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Q: (x+6)dx (x+2)*

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Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

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Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

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Q: iven that y = sin? (t) and x = cos ( 4t?), hence find dx dy a. 8t sin (8t) sin 2t 8t sin ( 8t2 ) b.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the plane that passes through the points (3, 2, 1), (2, 1, – 1), and (-1,3, 2).

A: Given:3,2,1, 2,1,-1   and -1,3,2

Q: ƏM ƏN 5. In the differential equation (y² – x² -4x-1)dy+ 2y(x+ y+2)dx=0, what is |

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 2. 4 4 2. 4

A: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: x dx 13. S (6х-x2-5)2

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Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

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Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). %3D (a) Find the unit vector having the…

A: If you submitted multiple posts for this same problem, that will go to different experts. So you…

Q: 3. The standard fom of the first order lincar differential equation xdy + (2.xy -3y-4x dx =0

A: As we know that; The standard form of the first order linear differential equation is; dydx+Py=Q…

Q: Question Two particles move along a straight line. The first particle, Particle A, travels with a…

A: To solve the following problem

Q: Solve the following problems. Зху 1. Given that f(x,y, z) = e*' cos(yz). Find f , fw frvi: xyz ху

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Q: For the functions f(x) = xeX %3D 1. The minimum value of the function occurs when x = 2. A point of…

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

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Q: 1. Fill in the blank. (Note: We use letter w for the first substitution) dy a. The linear…

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A: Given query is to find the equation of the graph.

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Q: 10x Find the directional derivative of f(x,y) = at P(5,0) in the x + y direction of Q(4, –3). NOTE:…

A: Here is the solution: