2. If side BC of AABC is trisected by points P and Q, prove that ABAC = AP + AQ

Q: Let f(x) = 4x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

A:

Q: (x)u[ S -dx 陇

A:

Q: Find the volume of the solid that lies under the elliptic paraboloid x/4 + y²19 21 and above the…

A: We have given paraboloid x24+y29+z=1 and rectangle [-1, 1]×[-2, 2]

Q: A dense particle with mass 6 kg follows the path r(t) = (sin(3t), cos(9t), 2t9/2) with units in…

A:

Q: B. Consider the following equation (x-3)² 5(x + 1)²(x-2) f(x)=₁ 1. The rational function above has a…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Prove that the following ~ is an equivalence relation: Suppose W = (X,Y) is a graph. We define the…

A: Please see the below picture for detailed solution.

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞ and '-INF' for -∞.…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 250 in³. The base of the box is…

A: These problems are based on maximizing or minimizing a variable having as its initial condition…

Q: A projectile is fired from ground level with an initial speed of 100 m/sec and an angle of elevation…

A: For detail go through the solution...I have solved in detail..step by step

Q: A company produces a spherical object of radius 21 centimeters. A hole of radius 3 centimeters is…

A:

Q: G. Given the following graph of f(x), answer the following questions: 1. Correct solution to f(x)…

A: Given graph of f(x)

Q: 2. Let y = 3x23 a) Find the change in y, Ay when x = 5 and Ax = 0.02. b) Find the differential dy…

A: Given function y = 3x2

Q: Hello, how did you find 0 and -1 to be the values of r and t? Also where do you plug the numbers…

A: Determine the X intercept of the plane [x, y, z]= [3, 1, 3]+ r[1, 1, -1]+ t[0, 1, 3]

Q: Determine the x-intercept of the plane: [x, y, z]= [3, 1, 3]+[1, 1, -1]+[0, 1, 3]

A: Question -   Determine the X intercept of the plane

Q: 4. f(x) = 3√x √x ... x=8

A:

Q: Given that the acceleration vector is a(t) = (- cos(t))i + (-sin(t))j + (t)k, the initial velocity…

A: The given acceleration vector at=-costi+-sintj+tk, the initial velocity is v0=i+k and the initial…

Q: Find the absolute extrema if they​ exist, as well as all values of x where they​ occur, for the…

A:

Q: Find √ √1+x²dx

A: To find out the integration.

Q: Solve this linear programming problem using graphical methods. Restrict x ≥ 0 and y ≥ 0. Minimize g…

A:

Q: Obtain the general solution of the following differential equations 8. (y sin x + xy cos x) dx + (x…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution to the…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A:

Q: Find the area of the curve: y = 9-x² and the x-axis

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: square for the following equation? x^(2)+6x+13=5

A:

Q: The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of…

A:

Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

A: Given volume ( v ) = 10m3 let length = l width = w height = h

Q: 1. Differentiate: y = √2 - 3x²

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length…

A:

Q: f(x) = -(x-1)² use f'(x), find decreasing interval.

A:

Q: Let f (x)  =  { 8x x  ≤  12 −4x + 144 x  >  12 Evalute  36 ∫ 0f (x) dx.

A:

Q: why was x tan(t)?

A:

Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y)=2x² + 7y² on the…

A:

Q: Sketch the region that corresponds to the given inequalities. 2x - y ≤ 9 x + 2y s7 -10 O -5 y 10 5 5…

A:

Q: f(x) = x³ -1.5 x² Use graphing calculator, fine the interval the function is decreasin (1,2) (0,1)…

A: Solution: The objective is to find the interval the function is decreasing using graphing calculator

Q: avaries directly as the square of band inversely as the square of c. If a = 89 when b = 6 and c = 6,…

A:

Q: In a scale model of a table, 1 centimeter represents 6 inches. Answer the following. Scale 1 cm: 6…

A: Given that:- Scale 1 cm:6 in

Q: If   C(t)=55te−0.1t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A:

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per the bartleby guidelines for question having multiple subpart question expert must have answer…

Q: Q1 :  a) For the function f(x )=x^3 −12x, its local maximum is ____?____ which occurs at (___? __ ;…

A: The given function is: fx=x3-12x   As we know that, The Power Rule: ddxxn=nxn-1

Q: H. Given the following sign chart for f(x), answer the following questions: 1. Correct solution for…

A: Solving the following problem

Q: Of all rectangles with a perimeter of 30, which one has the maximum area? (Give the dimensions.) The…

A:

Q: For y = f(x) = 8x³, x = 3, and Ax=0.04 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

A: We have, y=fx=8x3, x=3, and △x=0.04 To evaluate : (a) △y for given x and △x value (b) Expression for…

Q: 3. For f(x) = x³ - 5x² - 8x + 4,find the followings.

A:

Q: A baseball team plays in a stadium that holds 53,000 spectators. With ticket prices at $10, the…

A: Given attendance denoted by = x there are two points ( 38000 , 10 ) & ( 42000 , 8 )

Q: Which of the following is the implicit solution to the initial value problem (e* sin y - 2y sin x −…

A:

Q: Find the values of z, y and that correspond to the critical point of the function f(x, y) = 2z²-1z +…

A:

Q: at is the general solution to the equation? 10 = 2 cos 0 tan 0 g solutions to the box to correctly…

A: Please see the below picture for detailed solution.

Q: Obtain the general solution of the following differential equations. 4. x(x² + y²)²(ydx -xdy) +…

A: Given differnetial equation:- xx2+y22ydx-xdy+y6dy=0

Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the volume of the region between the cylinder z= 3y and the xy-plane that is bounded by the…

A:

Q: If f is decreasing and its graph is concave up on (0, 1), which of the following could be the graph…

A: