Evaluate the following limit. lim X-X (10+19) Select the correct answer below and, if necessary, fill in the answer box within your choice. 10 A. lim 10+ = 2 ☐ (Type an integer or a simplified fraction.) X-∞ B. The limit does not exist.

Q: Submit answer Reset item Calculate the length of the astroid of x + y = 5. S = a Submit answer…

A:

Q: 1. 3 points Estimate the area under the curve on the interval [-5,3] using the left-endpoint…

A:

Q: 5. mit answer urces Use Simpson's Rule and all the data in the following table to estimate the value…

A:

Q: Find the first moment about y-axis (My) and center of mass (X) of the region bounded by the line y =…

A: The region is bounded by the line y = x, the line x = 1, and the x-axis. This forms a right triangle…

Q: -6 -5 * 10 8 6 4 2 -2 -1 -2 1 2 3 4 5 6 -6 -8 -10- The function graphed above is: Concave up on the…

A: Concave up: the portion of the graph where it opens upwardWe see that the graph opens upward to the…

Q: find the Laplace transform. Then express the given function f in terms of unit step functions

A: GIVEN : ​​ STEP : 1 ​​ STEP : 2 ​​ STEP : 3 ​​ STEP : 4 ​​ STEP : 5 ​​ STEP : 6 ​​   Let's express…

Q: 3. (i) Using the definition of the line integral of a vector field, calculate the line integral LF.…

A: Step-by-Step Solution We are tasked with calculating the line integral of the vector field…

Q: Find the average value gave of the function g on the given interval. gave = g(x) = 8√√x, [8,64] Need…

A: The average value gave​ of the function over the interval [8, 64] is 7180​.

Q: the answer is Dcould you explain how using the curland also please disprove each option that is…

A: We are given the vector field: F(x,y,z)= (x1​+x2,5,z21​+z2) and the domain:…

Q: y=f'(x) 1 8 The function f is defined on the closed interval [0,8]. The graph of its derivative f'…

A: First Derivative Rule If f′(x) changes from positive to negative, the critical point is a local…

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: 2. (15 pts) Write the Maclaurin series for the function f(x) = sinx. Use it to write the Maclaurin…

A: ### 1. Maclaurin Series for  f(x) = sin x :  The Maclaurin series is the Taylor series expansion of…

Q: 2) Drive the frequency responses of the following rotor system with Non-Symmetric Stator. The system…

A:

Q: What is a solution to a differential equation? We said that a differential equation is an equation…

A: First, we need to differentiate the function s(t) = 2t^2 + t with respect to t. The derivative of a…

Q: . Solve the equation for x ; tanh x = 3/5 .

A: Step 1: Identify the trigonometric identities to be usedsinh x = (ex - e-x)/2cosh x = (ex +…

Q: use a graphing utility to sketch the graph of the function and then use the graph to help identify…

A: From the graph:  Domain : Set of x value where function graph is exists called domain of the…

Q: If f(n) (0) (n + 1)! for n = 0, 1, 2, ..., find the Maclaurin series for f. CO Σ n = 0 Find its…

A: We are given:  f(n)(0)=(n+1)!We find the Maclaurin series for f(x). The general formula for the…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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

Q: Test the series for convergence or divergence.

A: Step 1:The provided series is:∑n=1∞​n!3nn2​It is needed to test the series for convergence or…

Q: 7. Let F(x1, x2) (F₁(x1, x2), F2(x1, x2)), where = X2 F1(x1, x2) X1 F2(x1, x2) x+x (i) Using the…

A: Solution:  (i) Calculate the line integral ∫γ​F⋅dγ The given vector field is:…

Q: 2. Find the function f(x) given that f'(x) = 3cos (x) - 2sin(x) and f(π/6)=√3. Leave your answer in…

A: To find the function f(x), we need to integrate f'(x). f′(x)=3cos(x)−2sin(x) Integrating both sides,…

Q: Solve showing a step by step and the final answer.

A:

Q: Given ƒ = (10, -10) and q = (-8, −7), find ||ƒ— q|| and dƒ-9. Give EXACT answers. You do NOT have to…

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

Q: Use series to evaluate the limit. lim X-0 12 2 - + x − In(1 + x) X

A: If you have any problem let me know in the comment section thankyou.

Q: 6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with…

A: The logarithmic function log⁡3(x) is defined as the inverse of the exponential function 3xImportant…

Q: i circled the correct answer could you explain how to get that answer, as well as disprove the other…

A:

Q: 21. Determine for which values of m the function (x) = x™ is a solution to the given equation. a.…

A: Note  why x=0 : because when x=0, and m=-3,  x−3 is undefined. So in general this is valid for…

Q: Find the value of the following indefinite integral: (see image)

A: By completing the square on 4b2y2−24aby+27a2 we have=(2b)2y2−2(6a)(2b)y+27a2By comparing with the…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: 1:  2:

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

A:

Q: Derivation of the Laplace transform variational leration method in the same and simplified manner…

A: Derivation of the Elzaki Variational Iteration Method (EVIM) We will derive the Elzaki Variational…

Q: By using Laplace transforms, solve the following differential equation subjectto the given initial…

A: Used Laplace Transformation:

Q: i need the solution of part d and bonus. THANK YOU

A:

Q: Calculate the following integrals, subject to the following rules: ⚫ you must use integration by…

A: Let me know in the comments if there is any calculation mistake or if you need help understanding…

Q: 1) Show that the force response of a MDOF system with general damping can be written as: X liax) -Σ…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3) Find the volume of the solid that lies inside both the sphere x² + y² + z² cylinder x²+y² = 1. =…

A:

Q: #8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y =…

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

Q: I 5. Find the interval of convergence of the following. Be sure to test the endpoints of the…

A: Part a:  We need to find the interval of convergence for the series: ∑k=0∞​k!k2​(x+2)k. To find the…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A:

Q: Pls help me with accurate answer asap pls

A:

Q: 3. Let f R2 R be a function. (i) Explain in your own words the relationship between the existence of…

A: ### (i) Relationship Between Existence of Partial Derivatives and DifferentiabilityThe existence of…

Q: Find the following limit or state that it does not exist. x² +x-20 lim x-4 x-4 Select the correct…

A: Step 1: Select 5 values that should be substituted as the x-value into the equation (the number, 2…

Q: GUIDED PRACTICE Apply the laws of exponents in each. 1. (4a³b²)(-2a²b²)2

A: The given expression is (4a3b2)(-2a2b2)2.

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

Q: Example: Find Fourier integral for [1 |x|1 1/

A: 1. Fourier Transform of f(x):  2. Evaluate the Fourier Integral:  3. Deducing   Final Answer:…

Q: Question Given the following piecewise function, evaluate lim f(x). x→2 Select the correct answer…

A:

Q: 10. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.506.XP. Evaluate the integral. √xy dy Need Help?…

A:

Q: Let S1 be the portion of the unit sphere with z ≥ 0, oriented with normal vector pointing up and out…

A:

Q: 1 1+x 26. Derive the formula: tanhx=-In- 2 1-x ; x<1

A: Ans 26 page 1:Ans 26 page 2:

Q: Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+…

A: In the above diagram, the angle between the normal vectors α is what we are calculating using the…