Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: Consider the solid of revolution obtained by revolving about the x-axis the region in the first…

A: To find; The volume of the solid of the revolution obtained by revolving about the x-axis by disk…

Q: 16 12 8 0 2

A: Given problem :- Consider the solid of revolution obtained by revolving about the x-axis the region…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Here we have to check the convergence of given integral

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: Question In the figures, are corresponding angles congruent? Are corresponding sides proportional?…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: d- ax d³ y dx3 +6 d²y - 15 dx² Q.2-Solve the differential equation 15-100y = 0 dx

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Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

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Q: Q.2-Solve the differential equation (answer three questions only) lo d. y""-6y" +12y' - 8y = 0

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Q: Solve the differential equation. 15. 2x ( 3x + y – ye^-x2) dx + (x^2 + 3y^2 + e^-x^2) dy = 0

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Q: Below are three functions with their domains and codomains specified. For each one, classify it as…

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Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

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Q: Considering a continuous function f(x) = 2e³-¹ – 2x, which is true about the relative extrema of f?…

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Q: Use gauss divergence theorem to calculate the the flow through a surface S that is immersed in a…

A: Concept: The formula for the divergence theorem: ∫∫SF→n^ds…

Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: Evaluate the integral. The integral from 0 to t of 9sin^2(x) dx  Then determine whether the…

A: A detailed solution is given below.

Q: Evaluate the fsinz integrais belovo sin² xcsc 2x dx

A: Evaluate the integral

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 9…

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Q: 6. DETAILS ZILLDIFFEQMODAP11 1.2.009. MY NOTES ASK YOUR TEACHER In this problem, x = C₁ cost + c₂…

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Q: Solve the differential equation. 12. ( r + sin θ – cos θ) dr + r ( sin θ + cos θ) dθ = 0

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Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

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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: 49-7 Estimate lim *-7 -7 is approaching to using a table of functional values.

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 28 Which one of the following is the co-ordinates of the y-intercept of the tangent line to the…

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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: b) Suppose to i that and V х-у Calculate the x and and y by and Jacobian ð (u, v) 2 (x, y) hence…

A: Suppose that x and y are related to u and v by…

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes,…

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Q: What is the limit of limx→ sin x? 1/2 1 -1 10

A: Given

Q: Find the direction angles of the vector. (Give your answers correct to 3 decimal places.) u = −3i +…

A: Topic = Vector

Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: 10. DETAILS ZILLDIFFEQMODAP11 3.1.023. MY NOTES ASK YOUR TEACHER A large tank is filled to capacity…

A: To find the number of At

Q: For the function y = (x - 2) lnx, what are the two x intercepts, and between the two intercepts, is…

A: The given function is y=x-2lnx. For x intercepts we take y=0 and then we solve for x. If y''(x)>0…

Q: 24 The following limit gives the derivative of a function f(a) at a point zo: √8th-2 lim h 0 h

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Q: Given w = y² arctan(xyz) + 2x ln(xz). Determine dw მყა dro = y² + 2 arctan(xyz) + 2x ln(xz) dy du…

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Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: x sin æ+tan² I lim, 0 1-cos

A: We can solve this as follows:

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where q…

A: We will find critical points then we will calculate rest things

Q: In (x-2)* In sketching y O no horizontal asymptote O y = 0 and y = 3 O None of the choices O y = 3 O…

A: In this question we have to find the Horizontal asymptote. Note: As per our policy we are suppose to…

Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: Which of the following is TRUE about the function y domain is greater than 3 O as →→ 00, y → 0 x = 3…

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Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

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

Q: 11. f(sinx+x) dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve