H-/ test the Series 1.12 7√2 by ratio best 2n 2-12- nz by vitio test en

Q: Solve the differential equation by variation of parameters 3x2y" + 7xy' + y = x2 - x

A: We begin with the non‐homogeneous ODE  3x2y′′+7xy′+y=x2−x and first convert it to standard form by…

Q: slove the initial-value problem. y'' + 7y' + 12y = 0, y(0) = 2, y'(0) = 8

A: We begin by finding the characteristic equation for the differential equation  y′′+7y′+12y=0 Step 1:…

Q: |x6|= 5 The distance between x and is spaces on the number line, in either direction. Next Part

A: Step 1:|x-6| =5 We know that |x| is x or -x So, here we havex-6 = 5......(1) -(x-6) = 5......(2)…

Q: Find the ane sided limit lim 2 x+1-3x-3

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Consider the equation, f(x) = x*. (a) Using the trapezoidal method with 3 columns, estimate the…

A: (a) Trapezoidal Method with 3 IntervalsWhat is Δx?We are trying to estimate the area under the curve…

Q: Please refer below

A: We transform the parent function f(x) = x2 into the given transformed function, we apply the…

Q: Solve the problem

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Q: Number 4 pls

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Q: Question 2: (10 points) Evaluate the definite integral. Use the following form of the definition of…

A: We evaluate the definite integral using Riemann Sum Approach:∫03​(3x2+2x−1)dx Step 1: Definition of…

Q: 4. Given the following information determine the appropriate trial solution to find yp. Do not solve…

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. The number of viewers of a television series introduced several years ago is approximated by…

A: Given Function: The number of viewers (in millions) is given by: N(t)=(60+2t)2/3,1≤t≤26 where t…

Q: Question 9 The plot below represents the function f(x) 8+ 7 6- ·6· -5 4-3-2-1 Evaluate f(4) f(4) = 4…

A: Evaluate f(4):Locate x = 4 on the graph.Identify the corresponding y-value.It shows that f(4) =…

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. S- dy 18 √2…

A: The given integral is:I=∫183y2​(1+y2/3)dy​ Step 1: Substitution  Let:y1/3=t Then,y=t3sody=3t2dt…

Q: Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of…

A: Step 1:Step 2:Step 3: Step 4:

Q: Evaluate the integral using integration by parts. 150 sec 20

A: If you have any questions let me know in the comment box thankyou.

Q: Let I = f(x) dx, where f is the function whose graph is shown. 4 2 y f X 1 2 3 4 (a) Use the graph…

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Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…

A: Let's solve the problem step by step: Given Data:Force from the truck: F1 ​= 377 lb (along the…

Q: plese do #48

A: The gradient of a function f is a vector that points in the direction of the greatest rate of…

Q: 15. Please solve this and show each and every step please. PLEASE no chatgpt can I have a real…

A: The given function is F(r, s, t) = ln(r+t) * (r+s+t). This is a multivariable function, which means…

Q: Write an equation for the polynomial graphed below 5+ 4 - 3 2 1 + + -5 4-3 -2 -1 1 2 3 4 5 -1 -2…

A: If you have any questions let me know in the comment box thankyou.

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dx

A: Step 1:Step 2:Step 3: Step 4:

Q: 2.6 Applications: Growth and Decay; Mathematics of Finances 1. A couple wants to have $50,000 in 5…

A: Here are the calculations;(b) Interest Earned:Interest=A−PInterest=50000−36759.66Interest≈13240.34…

Q: 17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use…

A: 17th answer:18th answer:  19th answer:    Thank you  References:

Q: correct answer A

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Q: i need help please

A: Solution to the Given Problems(A) Solution of the Homogeneous Differential Equation (B) Solve the…

Q: Please refer below

A: First, we need to find the composite function f(g(x)). This is done by substituting g(x) into…

Q: please solve, thank you

A: Step 1:Step 2: Step 3: Step 4:

Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

A: Explanation:

Q: Let f(x)=sq root of x+5 and g(x)=x2 -2. 1. The composite function g of f(x) = 2. The domain of g o…

A: Given the functions:f(x) = √(x+5)g(x) = x2 - 21. Composite function (g∘f)(x)By definition, (g∘f)(x)…

Q: 9. A 1 kg mass is attached to a spring with constant 13 N/m. The system is immersed in amedium which…

A: Identify the Characteristic EquationThe standard form of a second-order homogeneous linear…

Q: 2. Consider the following: Prove that x, x2, and 1/x are the solutions to the homogeneous equation…

A: We are given the differential equation:x3y′′′+x2y′′+2xy′+2y=2x4 (a) Verifying that x, x2 and 1/x are…

Q: Question 6 Find the solution of the exponential equation 100(1.07)² = 500, 000 in terms of…

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Q: Suppose that one factory inputs its goods from two different plants, A and B, with different costs,…

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Q: Solve the initial value problem. dy +5 -2(x+5x)y= (x+5)- dx x+5' x> -5, y(0)=5

A: Given Initial Value Problem:(x+5)dxdy​−2(x2+5x)y=x+5ex2​,x>−5,y(0)=5.  Step 1: Convert to…

Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

A: Step 1 To determine the maximum number of nonreal zeros that R(x) can have. Understanding the Given…

Q: Question Find the following limit. Select the correct answer below: ○ 0 ○ 3 ○ 6 ∞ 6x + 3e lim 00+2 x…

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Q: In the given figure, P = 51 lb . 65° C 25° 35° 75 lb P Determine the corresponding magnitude of the…

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Q: Use the circle to find exact value of each trigonometric function (number 22)

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Q: Consider the following functions. g(x) = x + √3x h(x) = 3x-5 x + √3x f(x) = = 3x-5 Find the…

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Q: For the curve defined by (t) = (e cos(t), et sin(t)) find the unit tangent vector, unit normal…

A: Given:         r(t)=⟨e−tcos(t),etsin(t)⟩Step 1: Compute the Velocity Vector…

Q: Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.

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Q: Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the…

A: ANS : ( a ) ​STEP 1 ​​  STEP 2 ​​   ANS : ( b ) ​ STEP 1 ​​STEP 2 ​​  ANS : ( c ) ​ STEP 1 ​​ STEP 2…

Q: Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine 1. f o g(x)  2. Give the domain…

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Q: Find the equation of the line through (12, 11) such that the triangle bounded by this line and the…

A: Find the equation of the line through (12, 11) such that the triangle bounded by this line and the…

Q: The number of bank robberies in a country for the years 2010-2018 is given in the following figure.…

A: Step 1: Understanding the ProblemWe are given a dataset representing the number of bank robberies in…

Q: (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2)…

A: a) b)

Q: please dont use chat gpt

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find the limit lim X-700 4 13x-15 3x4+x³-12

A: We find the limit of the given function:limx→∞​3x4+x3−1213x4−15​ Step 1: Identify the highest power…

Q: Find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 3xy.

A: We find the equation of the curve that passes through (0, 1) and whose slope at (x, y) is given by…

Q: 1. Given the vector field F(x, y, z) = -zi, verify the relation 1 VF(0,0,0) lim +0+ volume inside S…

A: The vector field is given by F(x, y, z) = -zi. The surface S is the surface of a cube centered at…