S 3+x √9-12 dx sin 7x-67-6 3 tan 1 X 3 √√9-x²+C O 1 3 tan 0+ zx-6+ X X O√9-2.0 3 sin 3 + C

Q: This is part of a review packet that was handed out in means of helping us study for our first unit…

A: Given : f(x)=7x3ln(x) Diffentiating w.r.t x : f′(x)=dxd​(7x3ln(x)) Take the constant out: (a·f)′ =…

Q: Use the given graph of f to find a number ♂ such that if |x − 1] < ♂ then |f(x) − 1] < 0.2. - δ =…

A:

Q: Find the limits as x and as x 0. y = f(x) = 4x³-x4 lim f(x) = X-∞ lim f(x) = 8118

A: Step 1:Given that y=f(x)=4x3−x4Limit as x→∞:As x→∞, the x4 term dominates because x4 grows much…

Q: solve the initial value problem.

A:

Q: Finding the intercepts, asymptotes, domain, and range from the graph of a rational function

A: (a)  Intercepts:• x-intercepts: The graph intersects the x-axis at x = 2 only. So, the x-intercept…

Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

A: Here, all the end points are open in velocity-time graph as there is no instantaneous velocity…

Q: Integrate the function. dx S √x2√32-25 .x>5 О 125x2-25 In X + C x²-25 X V2-25+C 25x +C O In|…

A:

Q: Consider the following functions. f(u) = 4u² h(u) = u + u p(u) = (u² + u)³ 4u2 g(u) = Find the…

A:

Q: Elasticity of Demand for Sports Watches The demand equation for a certain wristwatch is given by x =…

A: (E(ρ))To compute the elasticity of demand (E(ρ)), we need to use the formula for elasticity of…

Q: Given the function f(x)=. 17-6x if x 3 lim x → +3 →3 f (x) if it exists. Olim 3 f(x) = 2 lim 3 f(x)…

A:

Q: I just need number 3 and 4 answered with an explanation step by step process in simple terms please…

A: The prime symbol (') in set theory usually denotes the complement of a set. The complement of a set…

Q: Help solve show work pls

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. a) What is the domain of the function: f(x) = 4x²-11x-3 x²-x-6 ? Show your work. b) Compute lim…

A: ANS : ( a ) ​   ANS : ( b ) ​ ANS : ( c ) ​

Q: Given a=9i+8j and b= 10j-7k, find  |a-2b|

A: First, let's define the vectors a and b. In this case, we are given:a = 9i + 8jb = 10j - 7k

Q: Integral 2: 1/2 1/2 e* dx √ x ex

A: 2​e​​−2π​erfi(2​1​)​≈0.32085932

Q: 5. Let 1 and 2 be two solutions of the differential equation y" +3 '+y'+q(x)y = 0, where q(x) is a…

A:

Q: I will rate, thanks!

A: Step 1: concept  Step 2: solution Step 3:Step 4:

Q: For which values of p does this series converge?

A:

Q: pls help asap

A:

Q: Given the function y = 5 - x². (a) Find the equation of the line normal to the curve at the point P:…

A: Step 1:Step 2:

Q: how to derive the cross product formula: |u x v| = |u| x |v| sin (angle)

A: Step 1: To derive the cross product formula |u x v| = |u|.|v| sin(θ), where u and v are vectors, and…

Q: a. If z=sin(5x + 3y) Find az dz and 一 dx ду b. Ifz (3x+2y)(4x-5y) Find 8z and дх C. A cylinder has…

A:

Q: Evaluate the integral. S4 cos³ 3x dx O sin 3x-sin³ 3x + C sin 3x + sin ³ 3x + C +sin³ Osin 3x-cos³…

A:

Q: you are trying to lose weight by running. you wear a device that informs you that you are burning…

A: First, we need to understand the conversion factors. We know that:1 calorie = 4.184 joules1 watt = 1…

Q: Evaluate the following expressions. Enter 'DNE' if the limit does not exist or is not defined.You…

A: Step 1:Step 2: Step 3: Step 4:

Q: Give an appropriate response. 11) The tables below show the results of a study examining the…

A: For Under 40 Number of women with breast cancer =2+1=3 Number of women  who exercise regularly =…

Q: Find formulas for f(g(x)) and g(f(x))  f(x) = (1 + x)/(1 - x) g(x) = x/(1 - x)

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 1 1 pts Using Simpson's rule for the integral, with four subdivisions, calculate the…

A: Let's go through the complete calculation for the problem, including using Simpson's rule to…

Q: Compute r''(t) when r(t) = (t³, 9t, sint). r''(t) = (

A: If you have any problem let me know in comment box thank you.

Q: sketch the graph of the function f(x)=x2 - 4/x2 - 1 Steps required: Domain x- and y-intercepts…

A: STEP :1 ​​    STEP :2 ​​   STEP :3 ​​   STEP :4 ​​   STEP :5 ​​   Graph :​​

Q: Let f(x, y) = xy + 2y be a differentiable function on the disk f(x, y) = xy + 2y where: f(x, y) = xy…

A: Detailed Explanation: To address this difficulty, we must evaluate the function. f(x,y) = xy + 2y at…

Q: find the general solution. Also, plot a direction field and some integral curves on the rectangular…

A: Step 1: Note that the given differential equation is a standard, linear first-order differential…

Q: 1. Determine the domain and range of the graph. Is the graphed function one-to-one? 5 0 -5 5 -5

A: The domain is the set of all x-values on the graph.-2 &lt; x ≤ 5In interval notation: (-2, 5]We use…

Q: how would u solve this problem? this is a non graded pws

A: Step 1: solution  Step 2: Step 3: Step 4:

Q: Please help me with these questions. I am having a hard time understanding what to do. For the first…

A:

Q: find the general solution.

A: Step 1: Given differential equation y′+3x2y=0 is a first order linear differential equation of form…

Q: Give an example to show the product of two imaginary numbers is not always imaginary.

A: An imaginary number is a number that can be written as a real number multiplied by the imaginary…

Q: 24. By suitably renaming the constants and dependent variables in the equations and P' aP(1-aP) I' =…

A: We are analyzing the differential equation of the form:y′=ay−by2where a and b are positive…

Q: Using Region R enclosed by the graphs y=x, x-y=4 and y = 0 (x-axis), please do the following. 3 a)…

A:

Q: Find the parametric equation of the line perdendicular to the plane determined by points A, B, and C…

A:

Q: Consider the points on the vertices of a triangle given by A: (0,0,0), B: (1,2,3), and C: (0,3,0).…

A: (a) Use the scalar product (dot product) to find the angle at vertex A in triangle ABC.The vertices…

Q: Given a geometric sequence with t₁ + t2= 24, t1t2t 3 = 8000, find r. Answer: r = ☐

A: Ans:

Q: Explain how to add complex numbers.

A: A complex number is a number of the form a + bi, where a and b are real numbers, and i is the…

Q: Is F1 = (yz + e^x−y)i + (xz − e^x−y)j + xy k a conservative vector field? If so, give itspotential…

A: A vector field F is conservative if its curl is zero. The curl of a vector field F = P(x, y, z)i +…

Q: Find the average rate of change of the function over the given interval. y=√2x; between x 8 and x =…

A:

Q: 12 6 y = g(x) N 0 12 Evaluate each integral by interpreting it in terms of areas. (a) g(x) dx (b)…

A:

Q: Find the most general antiderivative. 3 dx 3 tan1 x - 4 In |x| +C -1 3 tan¯x-In |x| +C tan-1 x In Ix…

A:

Q: lim x²-6x 26x25x - 6

A: here its the detailed computation for the answer

Q: a. Starting at (x,y)=(1,1), find a unit vector u=⟨a,b⟩ that points in the direction of the point…

A: a. Finding a unit vector u=⟨a,b⟩ that points in the direction of the point (3,4) starting at (1,1):…

Q: please draw the graph and explain it as well along the answer

A: Step 1:Solution-Step 2: Area under the curves is A and B. Step 3:Hence total area under curves is…