Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: 3. y = Vx*

A:

Q: The radical center does not existif the circles are concentric TRUE FALSE

A:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

A:

Q: Solve the following system of differential equations. dx —х — у, || dt dy Зх — у dt

A:

Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

A:

Q: Find the length of curve y In (secx) from x=0 to x=

A: See the answer below

Q: Find the arc length L of the graph of r(t). r(t) = 6 cos(t)i + 6 sin(t)j + tk, 0<t< 2n 0 <t< 2n L =

A:

Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

A:

Q: Find the direction cosines and angles of u and show that cos? a + cos2 B + cos2 y = 1. (Round your…

A:

Q: E(0.1)" -1 + (0.9)"] n=1 Determine whether the given sequence converges or diverges. If it…

A: Given series ∑n=1∞ (0.1)n-1 +(0.9)n

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3…

A:

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

A:

Q: Let F = (5x,9x, 4) and G = (4,9x, 5). Calculate curl(F). (Give your answers using component form or…

A: The given functions are F=(5x,9x2,4) &amp; G=(4,9x,5)

Q: 10. On a typographic map, the contour lines show changes in elevation of the land. You and a friend…

A: a) From the figure I have an elevation of 200 ft and the elevation of my friend is = 800 ft. So the…

Q: xe* хе dx. J (x + 1)2

A:

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

A:

Q: dz (a) Find of the following functions: dx zx2+1cos y? = sin(y? + 22z)

A:

Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

A:

Q: Determine whether the following series converges or diverges. 5 Σ 5n2+5 n =1

A:

Q: Find the centroid of the area under the curve y = x² from x-2 to x-4.

A:

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) =

A:

Q: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

A:

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos y = 1. (Round your…

A:

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: Q1: Using the Laplace transforms we found in class, together with linearity, com- pute the following…

A:

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

A:

Q: he curve. + sin(tt)j

A:

Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

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=&lt;-1,6,2&gt;   or -1 i+6 j +2 k…

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

A:

Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

A:

Q: 4. y = sec*e - tan*e

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 5) (x3 cos 9x dx

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: a. Use the substitution u = e and partial fraction decomposition to derive the following integration…

A:

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

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

A:

Q: ... * * Find the component form and magnitude of the vector v with the given initial and terminal…

A:

Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

A:

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

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A:

Q: The term a,6 of the sequence {an} given by (2 3 4 5'7'9' 11

A: Follow the procedure given below.

Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…

A: gx=5x-x3hx=3x+4fx=5x-x33x+4

Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

A:

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

A: This is a problem related to function calculation. Based on the graph we can find out the interval…

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

A: We have to find the vertex

Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

A: