Compute the length of the curve r(t) = (-6t,4t + 4, –5t – 3) over the interval 0 < t < 7. (Use symbolic notation and fractions where needed.) S =

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

A:

Q: Find the area of the portion of the surface z=f(x,y) = x^2+ y^2 that lies below the plane z = 9.

A:

Q: 7. * In [In (In æ)]

A:

Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: xD'(x) Find the demand function q = D(x), given the elasticity conditions. Recall that elasticity of…

A:

Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: 47. Minimum material. A rectangular box with no top and two parallel partitions (see the figure)…

A:

Q: 9-1 -dy

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ -4 n=1 Fill in the…

A: Let the function f(x)  is a continuous, positive and decreasing function on the interval  [ k,∞)…

Q: What’s the Taylor series summation for e^x*sin(x) centered at 0?

A:

Q: In Problems 17-20, find the indicated values of f(x, y, z) = 2x - 3y2 + 5z - 1 19. f(6, -5, 0)

A:

Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: „T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

A: Given query is to find the value of the integral.

Q: A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the…

A: Given query is to find the sides of the box

Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

A:

Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both  right and left side limits exist…

Q: ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A: Given query is to find the average velocity.

Q: Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w =…

A:

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: Given problem:- Use the First Derivative Test to find the location of all local extrema for the…

Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: (d) (.9.z) = arctan(y/F) + sin (3 + ry-5y).

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: Find the seventh term of the geometric sequence from the given information. Express the term as an…

A:

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (2, 15, -4) Vw(2, 15, -4) =…

A: Use gradient formula and partial derivative formula for finding the gradient.

Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

A:

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

A:

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

A:

Q: The dimensions ofavectangubr region are varging with the bimeltyacCording W-zt+6cm/see where Listhe…

A:

Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

A:

Q: 7. Х Arcsec (2х) dx 3 (4x2 – 1)7

A: The objective of the question is evaluate the indefinite integral.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 8,…

A:

Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

A:

Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

A:

Q: 4. Find y' * 2 (x – y)² = sin x + sin y

A:

Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: y = f(x) A) -5 B) 5 C) 3 D) -3

A:

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: 37 Let (): (Give an exact answer. Use symbolic notation and fractions where needed.) <1< 2x and cos…

A: cos(t)=49    and    3π2&lt;t&lt;2π We need find the value of cost2 using half-angle formula.

Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

A:

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

A:

Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

A:

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

A:

Q: In a certain environment, a colony of bacteria grows according to the model A = A0e^0.06t, where A…

A:

Q: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

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

Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Solve the inequality and graph the solution on the real number line. x² <4 (-2, 2) + -4 -3 -2 -5 -1…

A: Simplify the inequality and choose the correct answer .