Find the volume of the parallelepiped determined by vectors <3,1,4>, <2,0,2> and <−3,−1,0>

Q: 3.lim X→π In(cos2x) (π - x)²

A:

Q: Question 8 A manufacturer has determined that the total cost C of operating a factory is C = 0.5 x²…

A: At what level of production will be average cost per unit

Q: Find the length of the shortest ladder that can extend from a vertical wall, over a fence 2 m high…

A:

Q: Evaluate fx² cosh x dx

A: To evaluate the integral.

Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

A: Given problem:- Let a(t) = 20e-0.3t (in milligrams) be the amount of drug in a patients body at time…

Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

A:

Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A:

Q: It is known that for a function f(x), f'(1) = 0 and f" (1) = -0.5. What does the Second Derivative…

A: This question can be solved using the concept of second derivative test.

Q: The current population of a small town is 2104 people. It is believed that town's population is…

A:

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A:

Q: Determine if the function is continuous on the given interval. - 1. f(x) = √x² – 25 ; [−6, −5] 2.…

A:

Q: Find the linearization f(x) = √x, L(x) = L(x) of the function at a. a=4

A:

Q: The Physics Club at Foothill College sells Physics Show sweatshirts at the yearly Physics Show…

A: Solution

Q: 1-) x ² ( xdx tydy) = (x² + y²) dx ; x =1 when y=2

A:

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

A:

Q: 5. Find the Maclaurin Series for f(x) = e²^²+ex 2

A:

Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

A:

Q: The rate of a continuous money flow starts at $600 and increases exponentially at 2% per year for 15…

A:

Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

A:

Q: n=1 n 2n+1 2n-1 xch

A:

Q: et (e2t + 8et + 7)² 3 dt

A:

Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (5x)" . Given the power series Σ(-1)", , find and justify its interval of 4n In(n)' n=2 onvergence…

A:

Q: dy 1. If (x + y)² = x² + y² prove that 11 I Alx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

A:

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + C.

A: Orthogonal trajectory

Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given…

A:

Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

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

Q: (-2,5,7) + t(-3, 1,-4) and that the point Given a line defined by the equation T = P(x, y, 15) lies…

A:

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

A:

Q: Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

A: We have to prove the given property.

Q: III. Directions: Find the derivative of the given functions with respect to x using the limit…

A: i) f(x)=3x2+5x-7ii) fx=12x2-9x

Q: The total cost of producing 1 unit of a product is given by C(x, y) = 80+ 0.3x² + 50y - xy dollars…

A:

Q: What is the exact value of sin(255°) +sin(195°)? Show your work for full credit.

A:

Q: 65

A:

Q: valuate £₁² (2x + 3e* − 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23

A: We will solve the problem.

Q: Payton is making stuffed animal keychains out of yarn. She set up an Etsy page to sell her keychain…

A:

Q: cos(B) = −³, π< ß < 2π.

A:

Q: If f (x) = x(x - 1)³, then which of the following statements is correct? f(x) has a maximum point at…

A: We have to select the correct statement from the given statements.

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A:

Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A:

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: 100 (e) Σ199 2i(i3 – 1) i=1

A:

Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: It is projected that the population of a certain town will be P(t) = 2t+4t³/2 + 5000 where P(t) is…

A:

Q: lim x4 1 x³-64 Ꮳ 5 1 vx2+9

A:

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

A: