||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk K(t) =

Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Find the curvature of ƒ(x) = ln cos x, < x < 2 -- 2°

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

A:

Q: Question 15 Determine the interval of convergence for the power series that can be used to represent…

A:

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: Q1/0fin t the Tulorssevies at- for F(): Sinメ Iat ○ F(対 ak y=1 f(x) =

A:

Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

A:

Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

A:

Q: The region enclosed by y = va and y = x is rotated about the x-axis. Choose the integral that can be…

A:

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

A:

Q: t $14.15, the demand (customers) for UB-shirts is 400. When the price increases to $15.25 the demand…

A: Given query is to find the demand at given point.

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

A:

Q: Consider the hyperbola y? 25 1 144 What are the vertices of this hyperbola? Enter your answer as two…

A:

Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

A:

Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

A:

Q: 2. (6x -2) dj d2

A: We have to find the double integral.

Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

A:

Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

A:

Q: In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

A:

Q: Scsc" 2 ede 4 CSC

A:

Q: From Rogawski ET 2e section 10.5, exercise 7. Apply the Ratio Test to determine convergence or…

A:

Q: sin x – e-* = 0, [0,1]

A: Secant method is used to approximate root of a function through an algorithm. It uses the concept of…

Q: Find the arc length L of the graph of r(t). 1 rt) - i+t j+Vor k, 2<1<5 2 <t< 5

A:

Q: 3. a) If 2 - i is a root of x3 – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

A:

Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

A:

Q: dy 4. dt + 2, y(1) = 3 t

A:

Q: Admission to a baseball game is $3.00 for general admission amd $4.50 for reserved seats. The…

A: Let, x be the number of general admission tickets.  y(=1357-x) be the number of reserved tickets.

Q: Calculate the first five derivatives of f(x) = – sin(x). Then determine f(8) and f(9). (Use symbolic…

A:

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

A:

Q: Find the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y -…

A: We have to find the point at which the line intersects the given plane.

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: dæ4 evaluated at x = -1 dx evaluated at x = –1 dx? evaluated at x = -1 dx3 dªx4 evaluated at x = -1…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…

A:

Q: (c) 5 In(3 – x) = 4

A:

Q: What is the length of a highlighter marker is it centimeters or meters

A:

Q: The series (-1)"+1 is: n³/2 n=1

A:

Q: he acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

A: Given query is to find the velocity function and the distance traveled.

Q: equation for the hyperbola with foci (0, ±5) and with asymptotes y = +x. ind an

A: