Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x √4- x2   [-1,2]        (the 4- x2 is all under the √ symbol) *please use handwriting not typing, I understand it better that way*

Q: Find the solution of the differential equation that satisfies the given initial condition. xy' + y =…

A: Given

Q: lane flying horizontally at an altitude of 2 miles and a speed of 450 mi/h passes directly over a…

A: Given query is to find rate of change of distance.

Q: Evaluate the following expressions. Your answer must be an angle -T/2 ≤0 ≤ in radians, written as a…

A: Evaluate the following expression  sin-1(sin(-7π4) sin-1(sin(7π6)cos-1(cos(5π4) cos-1(cos(5π3) And…

Q: Find ƒ'(1). f(x) = ex x² + 16

A:

Q: Let u₁ = 0 -6 -4 0 A. The vector , U₂ = Select all of the vectors that are in the span of {u₁, U₂,…

A: We have to select the vectors that are  in the given span.

Q: Complete the square and find the minimum or maximum value of the quadratic function y = x² - 6x + 7.…

A: We have to find maximum or minimum value of the function.

Q: Which graph is a possible sketch of the function f(x) = (x-6)(x+3)³ ? 625 500 375 + 250 125 +…

A:

Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

A:

Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

A:

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A:

Q: Suppose f(x, y) = xe 2-32². Answer the following. 1. Find the local maxima of f. List your answers…

A:

Q: erivative of: 10x¹/10 - 8x 7

A: Topic:- application of derivatives

Q: Differential equation: Initial conditions: -=4e¹1-e¹j+9e³k dt² r(0) = 7i+4j+3k It=0 -2i+ 3j =-

A:

Q: Set up an integral for finding the Laplace transform of the following function: Jo, 0, f(t) = t. -…

A:

Q: Sketch the curve of the following:  y = 1 + 1/x + (1/x2)

A:

Q: The rabbit population in a forest area grows at the rate of 9% monthly. If there are 290 rabbits…

A:

Q: What is the general solution to the equation a cos2x = 0? In the answers, n is an integer.…

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: Two poles are connected by a wire that is also connected to the ground. The first pole is 20 ft tall…

A:

Q: he concentration of a drug t hours after being injected is given by C(t)=0.5t t^2+59. Find the time…

A: Topic:- application of derivatives

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A:

Q: Express the location of (-6, -9,-7), given in Cartesian coordinates, in spherical coordinates. Round…

A: This question is related to coordinate system, we will solve it using given information.

Q: The curve with parametric equations x = 2t cost, y = 2t sint, and z = 2t lies on z = x² + y². Select…

A:

Q: Differentiate. y=12 sqaure root of x

A: d dx(xn)=nxn-1ddx(constant)=0

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

A:

Q: The integrating factor of the following first- order linear differential equation is Select one: O…

A:

Q: Ət A. Use the chain rule to find and as functions of x, y, s and t. Ət = მა Suppose z = = B. Find…

A:

Q: 12. Stan³0 sec²0d0

A: Integration is done by "u" substitution method

Q: Let f be a function defined on [11, 25]. Suppose for every x = (11, 25) d. dx -f(x) = 0. If f(12) =…

A: Given query is to find the value o f(24).

Q: Help me Solve the following(step by step) a) 3-4|x+3| ≥ 1 b) |x^2| +5=0 c) x^2 +4x=2x+4 d) 6-2x>-x

A: (a).The given inequality is:3-4x+3≥1

Q: Find the area of the surface obtained by rotating the curve about the y-axis. 1 1 y=-x--lnx, 1≤x≤8 4…

A:

Q: Find an equation of the tangent line to the graph of f at the given point. f(x) = √√√x, (25, 5) y =

A: Given query is to find the equation of the tangent.

Q: It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry…

A: dxndx=nxn-1

Q: the variables are restricted to a domain on which the function is defined. z = sin(4x5y - 6xy³).

A: Topic:- application of derivatives Partial derivatives

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: 1. Consider a polynomial function f(x) = co + c₁x + c₂x² + ... + Cd-1d-1 + card. A. Applying the…

A:

Q: Find the point on the curve r(t) = (5 sin t)i + (-5 cos t)j-12tk at a distance 26 units along the…

A:

Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Can there be…

A:

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

A: We have to use a concept of derivatives

Q: If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground…

A: Topic - Application of derivatives We are given Height of the rocket after t seconds…

Q: Find indicated rate of number 3

A: Topic:- application of derivatives

Q: Evaluate the following integral in spherical coordinates. (x² + y² + 2²) 5¹² dv; D is the unit ball…

A: So for cartesian coordinate to spherical coordinate the conversion formula isx=r sinϕcosφ,…

Q: Suppose F(3) = 3, F(7) = = -9, and F'(x) = f(x). Also suppose G(3) = 2, G(7) = 5, and G'(x) = g(x).…

A:

Q: For the series -2 + 3 + (-9/2) + 27/4 + …, S14 =

A: It is a Geometric Progression where first term is -2 and common ratio is -1.5

Q: Find d2y/dx2. y=1/x10

A:

Q: lim x to 9 (9x - ln(x))

A:

Q: Find the point on the curve y = √4x + 4 which is closest to the point (7,0).

A:

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2 ft^3/min. How…

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

A: