frexx= dx = ? 16x-x2 dx = ? √16+ x 2 2x dx =? √25-x2

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: In Problems 10-40, use the method of undetermined coefficients to determine the form of a particular…

A: Given Differential Equation: y′′′ − 2y′′ − 5y′ + 6y = ex + x2 We will use the method of undetermined…

Q: Question 3 (5pt): A chemical reaction. In an elementary chemical reaction, single molecules of two…

A: (a)  Rewrite the differential equation  (E)  with separated variables The given equation…

Q: please dont use chat gpt

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Q: 12. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.3.508.XP. ASK YOUR TEA Make a substitution to…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use Euler's method to numerically integrate dy dx -2x+12x² - 20x +8.5 from x=0 to x=4 with a step…

A: Step 1: Step 2: Step 3: Step 4: Step 5:

Q: Question 4. Suppose you need to know an equation of the tangent plane to a surface S at the point…

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Q: 3 Evaluate the double integral 10 y√x dy dx. First sketch the area of the integral involved, then…

A: Please feel free to comment if you have any questions

Q: please do not use chat gpt

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Q: Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x)…

A:

Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 4 4 +…

A: The given function is:y=4x4​+8x21​ The formula for finding the arc length of a curve in rectangular…

Q: Let (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=

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Q: Two cables tied together at Care loaded as shown. Given: Q = 130 lb. 30° C B Determine the range of…

A: The free-body diagram of the situation is as followsI hope this is helpful.

Q: The function s(t) represents the position of an object at time t moving along a line. Suppose s(1) =…

A: To find the average velocity over the interval [1 , 5], we use the formula:vav = (s(t2) - s(t1)) /…

Q: 7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x²…

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

Q: This question builds on an earlier problem. The randomized numbers may have changed, but have your…

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Q: Evaluate the integral 7 x²√22-16 dx

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Q: Use the two methods "real number solution space basis" and "complex solution space basis"…

A: The given equation is a second order homogeneous linear differential equation with constant…

Q: do question 2

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Q: Calculate sin(10y(2)) where y is the solution of 4.149 12x²y" + 23xy' + 2y : - x such that y(1) = 1,…

A: To solve this problem, follow these steps:Step 1: Solve the Homogeneous EquationThe given…

Q: 1. Find the area of the region enclosed between the curves y = x and y = x. Sketch the region.

A: Step 1: Compute the points of intersection. Since y = x4 and y = x, then x4 = x. Transfer all terms…

Q: 53,85÷1,5=

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f(x)=−7e^xsinxf'(x)=

A: The function f(x) = -7e^x \sin x is a combination of two functions, we must use the product rule of…

Q: find the roots it may help to know b =1

A: Step 1: Define w Step 2: Compute p(w)Step 3:Roots of p(x) Step 4: Final Answer

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: For number 4 the answer is B Could you explain why

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

Q: 1. 2. In Exercises 1, 2, 3, 4, 5, 6, 7, and 8, use the graph of the function f to find lim f(x), lim…

A: Q. 6. We determine the limits of the function f(x) as x approaches  a = 0 from the left and right,…

Q: 1. 2. In Exercises 1, 2, 3, 4, 5, 6, 7, and 8, use the graph of the function f to find lim f(x), lim…

A: Answer :​ Method 1 :  Method 2 :

Q: You guys solved for the wrong answer. The answer in the box is incorrect help me solve for the right…

A: [Note: Here P is a function of t not x. In answer box type t instead of x.]

Q: Use the circle to find exact value of each trigonometric function (number 16)

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Q: math help plz

A: Let's analyze the points A, B, and C on the given function g(x):  Let me know if you need further…

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

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the area of this sector  please show work

A: We find the area of the sector by using the formula:A=21​r2θ where:  • θ  is the central angle in…

Q: "I have written solutions in text form, but I need experts to rewrite them in handwriting from A to…

A: I hope this may be helpful to you 🙏 If you have any query then ask me in comment box.Thanks

Q: Use the information in the following table to find h' (a) at the given value for a. x|f(x) g(x)…

A: Step 1: Understanding the ProblemWe're given:A table of values for functions f(x), g(x), and their…

Q: Provethat a) prove that for any irrational numbers there exists? asequence of rational numbers Xn…

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Q: 19. If the method of undetermined coefficients is used, the form of a particular solution ofy^(4) −…

A: Step 1: Identify the Right-Hand Side ComponentsThe non-homogeneous terms are:e−t (exponential…

Q: Please help on both Part b) and c) below Thanks

A: a.) Shift the index using k=j+2 so that it starts at j=1.Since the index is adjusted, we will also…

Q: Number 8 pls

A: Given Information:Triangle △JKLJK=16 (One leg)JL=23 (Hypotenuse)∠K=90∘ (Right Angle)We need to…

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

A:

Q: Question Find the open interval(s) of f(x), graph given below, where f'(x) is negative. -3-2-1 1 2 4…

A: f'(x) is the first derivative of function f(x). We know that, f'(x) is negative where the function…

Q: Find the following limit or state that it does not exist. Assume b is a fixed real number. (x-b) 40…

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Q: Please solve this question for me, make sure that the answer is in clear steps.

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

Q: Let f(x, y) = 2x + 3y+ In(xy)

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Q: Compute the following: (a) 8x³ + 3x dx (b) cos(2u) du (c) f² ebx dx

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Q: Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: Number 17 please

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve please thanks!

A: ANSWER :​

Q: Please find all values of x.

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. Using vector algebraic operations, if - Ả = 2ây – mây – C - B = mây tây – 2, C = ây + mây + 20, D…

A: We will solve for m using vector algebraic operations: Given Vectors:∙ A=2a^x​−ma^y​−a^z​∙…