(1 point) Find the curvature (t) of the curve r(t) = (4 sin t)i + (4 sin t)j + (5 cost) k

Q: Find the derivative y = ecotx Ody da Ody dx Ody dx dy -ecotx csc²x = cotx csc²x ecotx csc²x cotx

A:

Q: 2. Solving differentiable equation a) Find fex) that satisfies the t specified conditions. X8 -…

A:

Q: tan x 2- sec² x 57. 10sin x cos x = 6cos x 60. 8sin²x+6sinx+1=0 54. - sin² x = cos²x 52. sin(2x)-…

A:

Q: ad all possible f(x) such that f" (r) 3r7 25+ ²+1

A: Given query is to find the function.

Q: Given the following vectors A=-4a +3a-2a B=a +5a +7a y 2 C=-2a-4a₂ +6a y Evaluate |AX (BXC)|

A:

Q: Use the form of the definition of the integral to evalulate the integral.  1∫4 (x2 - 4x + 2) dx

A: Solution-

Q: Maximizing RevenueThe marketing department at Texas Instruments has found that when…

A:

Q: Evaluate the following:' d/dx of x of upper intgral and 2 lower integral of (4t^2 + 5t^3) dt

A:

Q: 7 Find the following. State the teorem that use you x ± ( [+ √rwv+ df) dx a) Find d function given…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² - 4x + 1), (4,0) y =

A: The given function y=lnx2-4x+1 We have to find the equation of the tangent line at the point 4, 0.

Q: a = a Note: Triangle may not be drawn to scale. Suppose c = 3 Find exact values for the other sides.…

A:

Q: Determine the (smaller) angle between the two vectors A= 3a +4a-a_ $ B=6«, B=6a 2a + 2a ၄င်း Express…

A: To find the angle between given vectors.

Q: - 8x² Find the critical points of the punction y=x4.

A: Topic - Critical points of the function We are given y=x4-8x2critical points of function are found…

Q: 8. 2 1 1 2 X +1^2 dx

A: Integrate f(x)= x-2-4x-3 over the range of [1,2]

Q: The velocity of an object is given by Sodt Eveluate v for a = 3.7 and b = 8 Give your answer to 3…

A:

Q: Determine which limit is of an indeterminate form. sin x lim X→∞0 X X-3 lim x+3x²-9 lim x→0 X lim…

A:

Q: Evaluate the integrals of the following: (Show clear and clean solutions) 1.² (e²t + e-t)²dt

A:

Q: If f(x) = ƒ' (2) - 6 sin x + 12 cos x, then Help: Post to forum

A: See this solution in below.

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A: Given2log(x)=log(2)+log(5x-8)   We need to find the value of x

Q: What does fary Mean? Clues (bay of ² (0 (24)-7 e find

A: We have to find the value of fxy.

Q: A company's revenue from selling a units of an item is given as R = 1200x - x². If sales are…

A:

Q: Solve for x: log₂ (log₂ x) = 2 X =

A: The answer is given below:

Q: Evaluate the integrals. T [ise ²+3 •)[(**)** b) dx (8) a) c) S √√3 ~/mm 8 1 + X following definite 3…

A:

Q: 2. Let g(x)=ff(t) dt, where f is the function whose graph Indi rique à bas a mowed to is shown. (a)…

A:

Q: the given set of curves y = 4x +3₁ y = 6 -x - 2x²₁ x = -4 and x = 2

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

Q: The half-life of a certain radioactive substance is 30 years. Assume we have 10 grams of the…

A:

Q: dy dx implicitly xy + x = 4 Ody da Ody dx Ody dx Ody dx = y-1 x -y x x -y-x -y-1 x

A:

Q: dy implicitly 3x² − y² = 23 - dx Ody dx Ody dx Ody dx Ody dx -9 4 9 2 3x² Y -9x 2y

A:

Q: The sales at a particular bookstore grew from $2033 million in 2000 to $3822 million in 2005. Find…

A:

Q: 16 Calculate V.v and V x v. a) OV.v= b) OV-v=- 5 yx x² + y² c) O V.v= 6 yx x² + y² 6 yx x² + y² d)…

A: I have appended the formula used in the solution part of the question

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: To solve the following

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A: We have to find the area covered in next 16 hours.

Q: If log (87) + log(y) = log(z), then 87 + y = z. ---Select--- If In(87x)= In (y), then 87x = y.…

A: properties of log is  logx.y=logx+logygiven      log87+logy=logz

Q: Evaluate the integrals of the following: (Show clear and clean solutions) T sec2ysin4ydy

A: We need to solve the integration.

Q: Find the distance between the points (1,0) and (-5,5). Round to at least the nearest hundreth.…

A: NOTE: Refresh your page if you can't see any equations. . two points are

Q: Find the radius of convergence of the power series 을 1/(x-3)^ n=0 2

A:

Q: Determine if the following piecewise-defined function is differentiable at the origin. f(x)= The…

A:

Q: Evaluate the integrals of the following: (Show clear and clean solutions) 5 cot sin²dx S

A:

Q: swer: Evaluate sin(10x) cos(10x) dx.

A: ∫xndx=xn+1n+1+c∫cosxdx=sinx+c

Q: (11) Find the average value of the function f(x)=√x on [18]

A:

Q: 11-14 Find the differential dy of each function. 1 + 2u 12. (a) y 1 + 3u (b) y = 02 sin 20

A:

Q: Problem 7. Let a 0 and b, c E R. Find the linear approximation L(x) of f(x) = ax + b at xo = c.

A: Let a≠0 and b, c∈R. To find the linear approximation Lx of fx=ax+b, at x=c.

Q: Setup the Riemann sum 6 Le Answer: x³ dx = lim n→∞0 [ f(x) dx = n limf()Ax for the given integral.…

A:

Q: If f(x) ƒ'(1) = 6x² + 3x + 6 -, then:

A: Topic - derivative of a function we are given ,f(x)=6x2+3x+6xWe know thatquotient…

Q: Find y' if xy = yx. y' =

A:

Q: The size of an exponentially growing bacteria colony doubles in 4 hours. How long will it take for…

A:

Q: dy 1+ dx L = √ √ ¹ + (d) dar dx

A:

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A:

Q: cos40 sin 0 de

A:

Q: Find the value of tan (a - B) if cos a = 90° a 180°, and 90° <B<180° 3 5 = -³/³, sin ß = 13

A: Given  cos α = -35,  sin β = 513,  90°&lt;α&lt;180°, and  90°&lt;β&lt;180°.