Find r'(t), r"(t), r'(t) ・r"(t), and r'(t) × r"(t). r(t) = 클레 - 3tj + (a) r'(t) (b) r"(t) (c) r'(t).r"(t) x x x (d) r'(t) × r"(t) 름다

Q: -1 46. y = cos¯¹(x + sin¯¯¹ x)

A: We need to find derivative.

Q: Consider the following. √ u²³ (2− u²³ + uº) du -3, -3 Simplify the integrand by distributing u to…

A: We have to integrate  u-3(2-u3+u6)du

Q: Find the absolute maximum and minimum values of the function f (x) on the given interval. 4 f(x): =…

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A:

Q: Consider the parametric curve: x = 11 cos 0, y = 7 sin 0, The curve is (part of) an ellipse and the…

A:

Q: 9. This composite object is formed by a cone with a hemisphere on top. A formula for the volume of…

A:

Q: 2 A particle moves along a line with a velocity v(t) = - the particle from time t = 2 to time t = 4.…

A: Displacement equal to Integral of velocity

Q: 7 Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and ff(x) 0 circular…

A:

Q: Suppose = cos - ¹ (-4). . Determine the exact value of the following quantities: (a) In what…

A: θ=cos-1-47 (a) θ reside in quadrant II (b) cosθ=-47

Q: What -√3 csc 0 = 2 Drag the solutions to the box to correctly complete the table. is the general…

A:

Q: A tank contains 1500 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the…

A:

Q: 3. 30 - Find the number(s) a such that the average value of the function f(x) 24x+3x² on the…

A: f(x)=30-24x+3x2

Q: 00 4-3 Determine whether the series > 5n n=0 Select the correct choice below and, if necessary, fill…

A:

Q: Use a graphing device to find the solutions of the equation, rounded to two decimal places. (Enter…

A: We have to solve the given equation to find x.

Q: Let F = (7x, 11x², 6) and G = (6, 11x. 7). Calculate curl (F). (Give your answers using component…

A:

Q: Find the center, transverse axis, vertices, foci, and asymptotes. ((x-2)^(2))/(4)-…

A:

Q: A curve has Y= 4x + In (2x) for x>0, find the x coordinate of the point on the curve where the…

A: The equation of  y=4x+ln2x

Q: 1. For the following function, determine intervals where the function is increasing or decreasing.…

A:

Q: Consider the function Evaluate the definite integral. f(x) = X x 3 L²₂ f(² -3 if x < 1 if x ≥ 1 f(x)…

A: Given: x     ifx&lt;11x    if x≥1 We are required to find: ∫-33f(x)dx

Q: Approximate the area under the curve graphed below from x = 1 to x = 4 using a Left Endpoint…

A: The solution is shown in step-2

Q: The logo for a new company is a circle divided into 24 same-sized sectors. Six of the sectors are…

A: The logo for a new company is a circle divided into 24 same-sized sectors. Six of the sectors are…

Q: ?

A:

Q: Find the area of the region bounded by the graphs of the given equations. y=2x+24, y=x² The area is…

A:

Q: (Click on the graph for a larger version.) If F¹' = f and F(0) = 0, find F(b) for b = 1, 2, 3, 4, 5,…

A:

Q: Find the exact solutions of the following equation in the interval [0, 2π). sin 2x = sin x

A: given,  sin(2x)=sinx  given interval is [0,2π)

Q: A company finds that the marginal profit, in dollars per foot, from drilling a well that is x feet…

A:

Q: Find f if ƒ"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) =

A: f''( t ) = 2et + 3sint f( 0 ) = 2 f( π ) = 5

Q: For the polynomial function, f(x) = x³ + 2x-6, find the upper and lower bounds within which all of…

A:

Q: Consider the following initial-value problem. f'(x) = 9x² – 12x, f(3) = 34 Integrate the function…

A:

Q: A graphing calculator is recommended. Compare the rates of growth of the functions f(x) = 3x and…

A: When drawn graph on Desmos graphing tool shown below  on [-4,4] by [0,20] F(x)=3^x G(x)=x⁴ so option…

Q: uate the iterated integral 114 cos(³)drdu

A:

Q: [UCONN 1071Q] Let f(x) = (e+ln(x2)). Which of the following represents the first derivative f'(r)?…

A: .

Q: Find the derivative of f(x) = ln x² sin x 2x+1

A: fx=lnx2sinx2x+1

Q: Express the following sum in closed form. 5n(n+1) 2 n Σ (5k – 3) k=1 = Note: Your answer should be…

A:

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: Let be an angle in standard position where 0 ≤ 0 ≤ 2л with: cos (0) = 4 Answer the following…

A:

Q: √3 sin(0 + π) What are the solutions for the equation cos(0 + π) = ?

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 (-8)" Σ n=1…

A:

Q: A deli sells 480 sandwiches per day at a price of $4 each. (A) A market survey shows that for every…

A:

Q: on the interval [0, π/2] Find the average value of the function f(x) = 8 cos(x)

A:

Q: Find the linearization of the following functions at x=0. a) sin x L(x)= b) cos x L(x)= c) tan x…

A:

Q: 9. The demand equation for a certain product is p demanded for the product. =√-0.04x+8 where p is…

A: We have to find the elasticity.

Q: (-1)kk(x-4)k 2k 1. Determine the radius and interval of convergence for Σk-o-

A:

Q: Based on your knowledge of the behavior of the numerator and denominator, predict the value of the…

A: We have give a function...if we directly put the value x= 0 then it will become 0/0 form. So we use…

Q: Answer #2

A: To determine whether the following series is converging or diverging. tan-1n-1nn=1+∞ Note: Since,…

Q: A 30-foot ramp is used to move product to a loading dock. The ramp makes a 24° angle with the…

A: A 30 ft ramp needs to be replaced by 50 ft ramp. Need to find the new angle.

Q: A11. Given the following cost and price per unit functions below: C(x) = 149.79x² + 13722.22x…

A:

Q: 6. Use cylindrical coordinates to evaluate 2(x² + y²) dv, where R is bounded by the surfaces z = x²…

A:

Q: The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will…

A: Given: city will increase the city's population at the rate given below in people/year t yr after…

Q: 9 A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: