√(x + 3) dx √16-x²

Q: 2. [x² √x + 1 dx

A:

Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: A-3i6j+2k B = -8ż+4j - 10k D = −9i – 3j - 7k C2i 3j+ 9k ming the 4. If G=Bx (A × D) and H = (A × C¹)…

A: G=B×A×DSubstitute A=3i-6j+2k and…

Q: In the simple model of a national economy:

A: answer is in next step

Q: f(x) = loga x

A:

Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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

Q: full

A: We will find the double derivative.

Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

A:

Q: inverse laplace (7s-2)/(25-s^2)

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Q: differentiation to find in terms of x and y. dx In(y) + 3xy - 4 = x² - 2y 5. Use implicit

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

A:

Q: S sin (3x) 1+cos² (3x) dx

A: The detailed solution is given below Thank you

Q: Compute the following determinant. -5 2 우리 1 6 0 X

A: We have to find the determinants

Q: 3. Explain the difference between a secant line and a tangent line. How do they relate to the rate…

A: A secant line joins two points on a curve. The slope of a secant line gives the average rate of…

Q: Question 5 Given that f f(x) dx = 3 and f f(x) dx = 4. A) S₂ f(x) dx = B) f²3f(x) dx C) f f(x) dx =…

A: topic - definite integral

Q: x2 – 4xy – 2y2) dx + (y2 + 4xy − 2x2) dy = 0

A:

Q: 3 5) S² x ² + 1 dx X+1

A:

Q: Use the One-to-One Property to solve the equation for x. 5x+1=25 x = 5 x = 1 x = 2 x = 4 x=3

A: given that  5x+1=25 Or 5x+1=52  On comparing  X+1=2  So x=1

Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

A:

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3 cos…

A:

Q: Find dy dx 1. y = (3-2x)³ (x² − 2)

A:

Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: Plot the curve r = 1+sin 8. Then find the length of the curve.

A:

Q: Evaluate the limit 5 + 71 lim 2 - 5x

A:

Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0<t<3

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A:

Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

A:

Q: 24 ue'sin(s + 2t)

A:

Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q - 0.25q² dollars, where q…

A:

Q: For the function y = f(x) = x² – 3x − 4, x ≥ 1.5, find df dy y=2

A:

Q: The logistic growth function f(t)= 116,000 1+5500 e describes the number of people, f(t), who have…

A: f(t)=116,0001+5500 e-tA)when epidemic begin;t=0f(0)=116,0001+5500=21.087The number of people…

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

A:

Q: 3*-7* x-0 2-15x d. lim

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-ax 2² y=…

A:

Q: ∫(x2+5)2 dx Evaluate indefinite anti-differentiation

A: Let's find.

Q: Use Stokes' Theorem to evaluate for F. dr. F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle…

A:

Q: the z-axis is shaded. Figure 1: Graph of y = f(x) over [0,4]. t * f(x) dr = 16/3, [*f(2) dx = 37/12…

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

Q: Evaluate Ic (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A:

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [ºf(x) dx = dx = lim…

A:

Q: 5. a. Evaluate lim(3x³ +7x−16). b. What is the meaning of this value?

A: Given;  limx-2(3x3+7x-16).

Q: = F(x₂) For the function f(x) = sin(x), write Newton's formula as n+1 = solving f(x) = 0. Type in…

A:

Q: 1. (Profit) What is the impact of decreasing/increasing radius kettle (m) with regarding to heat…

A: In the case of kettle of radius m case 1. If we increase the radius of kettle then base of kettle…

Q: A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: 2. Evaluate fff 12ydV where the limits of integration is the region below 6x + 4y + 3z = 12 in the…

A:

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A:

Q: lars) from the production and sale of x units of a product is

A:

Q: me population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to…

A: Given query is to find the population after 4 days.

Q: full

A: We will find the polar equation.