dx S x²(x²+x+1) √ √ex - 1dx

Q: d.w. Find the lengths for the - r = 1 + cosa

A: Given: r=1+cosθ

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Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: According to company's rules, I need to solve first question when multiple questions are posted.. So…

Q: 0 Given the piecewise function f(x) = 5-x 5-z What is f (4) ? Answer: f4 (4) = What is f¹ (4) ?…

A: Given function:-

Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

Q: 4. S 3+1 (²+4)² の dø

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

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Q: Question 2 (a) Find the derivative of the function. x3 F(x) = sin(u²) du (b) Find the area of the…

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Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: ** asin I sin²Lys y X IT 3- 2 จา

A: Use change of order of integration.

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Q: Which of the following diagrams represents the solution to this system of equations: [1 2 0 17 0 0…

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Q: On which interval or intervals or if there is any, the Mean Value Theorem applies for f(x)=√x² - 4…

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Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: af 2 Given f(x, y, z)=x√√x² - yz. Determine дz' af xy Əz 2√x²-yz af s af əz af Əz = = = 2√x²-yz…

A: A detailed solution is given below

Q: PREGUNTA 12 For the table shown, calculate units per hour: Total Normal Minutes 39.981 Allowance…

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Q: Given a function, Based on the function, F(s) = 2s +3 s²-2s+25 a) Determine f(t). b) Based on…

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Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: dx What is where dy' x³ + y³ = 3xyusing implicit differentiation?

A:

Q: What is the derivative of y = sin (x³ – 3x)?

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Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

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Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by

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Q: What is the lim_0+ 2²-In(x) For answers write... that are in decimal form and round off to fractions…

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: 1. n² Determine whether the series Σn=13n+1 ln(n+1) is convergent or divergent.

A:

Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

A: We have to choose the correct option from the given options according to the given information

Q: lim cos x x-0 , which among the following should result, in equivalent form, before L'Hopital's Rule…

A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

Q: 22 Given the cross product of 2 vectors u and vis, u x v= -3i-3j+3k, and their dot product is,…

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Q: How do you evaluate this integral using trigonometric substitution?

A: Here x2 -a2  type we use trigonometry substitution by x=a sec(θ)

Q: Evaluate the given limit. Show your complete solution. limo(-x ln(sin(4x² + x)))

A: The given limit is limx→0-xlnsin4x2+x. We have to solve the limit using L'Hpotial's rule.

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: What is the lim→( For answers that are fractions infinity negative infinity 7 sec (7x) cos(3x)?…

A: See the details solution in below

Q: Identify and sketch the graph of y=x² + 1 in R³.

A: This question can be solved using the concept of parabola.

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

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Q: Evaluate the line integral y² dx + x²y dy where C' is the rectangle with vertices (0,0), (5,0), (5,…

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Q: 2- Find xyz dV where D is the region with -1 ≤ x ≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2. D

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Q: A. The arc length is defined as if y=f(x) is a smooth curve on the interval [a,b] then the arc…

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Given the piecewise function f(x) = = Why is f not differentiable at x = 4? Of has no tangent line…

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Q: • How. Find the lengths for the following curver.. 1= r = 1 + cosa

A: Explanation of the answer is as follows

Q: The graph of O the x-axis O the y-axis O None of these O the Origin y = = xe is symmetric with…

A: From the property of the odd function we observe that function is symmetric property.

Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1)…

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Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

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Q: Given the graph below, what can you say about the function at x = 1? Continuous Not Continuous

A: Follow the procedure given below.

Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

A: