The domain for the function y = all real numbers except 3 and 0 ○ {x/x > 3} O less than 3 except 0 and 2 O {x/x <3, x # 0} x ln(3-x) is

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: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: Calculate the differential equation dy dt and (i) Show and 3 y (π) 2 general solution + 3t² y = cost…

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Q: d- ax d² y +6. dx² d³ y dx3 - - Q.2-Solve the differential equation dy 15 - 100y = 0 dx

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Q: Solve the differential equation. 14. ( 1 – xy)^-2 dx + [y^2 + x^2 (1 – xy)^-2] dy = 0

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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 4 Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary…

A: We need to evaluate limit.

Q: S₁ (6x³ +11x² - 4x) 18x² +22x-4) d dx -3/5 C.

A: The given integration is: ∫016x3+11x2-4x-3518x2+22x-4dx To find the value of the integration.

Q: Graph the function. Plot five points on the graph of the function: one point with x = 0, two points…

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Q: Find an equation for the line that passes through the points (6,-6) and (-4,-4)

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Q: Solve the differential equation. 5. y (2xy^2 – 3) dx + ( 3x^2y^2 – 3x + 4y) dy = 0

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Q: Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial approximation…

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: This question is related to vector addition, we will solve it using given information.

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹-1 3a) lim- b) lim-…

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Q: Q.2)(A) Determine of each point convergens or diverges: R sinhn (4) Στη?)coshn ΑΞΟ (S) Σ ΑΣΘ ((Inn"…

A: Given

Q: If f' is positive and increasing over an interval I, which of the following is true about the graph…

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Q: Solve the given differential equation by separation of variables. y In x dx x dx = (x + 1)² 12/2+2 =…

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Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: 4. find the derivative 4v².4+ [7v¹.5-3v-2 Enter your answer

A: Given  Let y= (4v^2).4+(7v)^1.5 - 3v -2 y= 16v^2 + (7v)^1.5 -3v -2 Formula: (d(x^n)/dx) = n(x^(n-1))…

Q: Q.2)(A) Determine (215) ² Σ (5)(2+1) of each point convergens or diverges: 13.0

A: Given

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

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Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

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Q: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: Find the area of the region bounded above by y = x³ + 1 and below by y = x + 1. 3 2.5 2 1.5+ 3.5…

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Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: For the function f(x), whose graph is shown below in blue, find lim /(x). The red vertical dashed…

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Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: Solve the following initial value problems. (a) 2ut + ur= -2u, z,te R, t> 0; u(x, t) = f(x, t) on…

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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: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

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Q: Assume x and y are functions of a third variable t. If xy = 20 and d = 10, find dy dt dt x = 4.…

A: u.v = uddx v + v

Q: Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त…

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Q: A skydiver weighing 176 lbf (including equipment) falls vertically downward from an altitude of 5000…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: f(x) = 2x³ + 11x² + 12x - 9 For your function you are to: A) Analyze the Function State the domain,…

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Q: y=(2x−1)' (2-3x)* at the point (1,1)

A: We have to determine the equation of the tangent line to the curve  y=2x-13 2-3x4, at the point 1,…

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

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Q: d³y dx3 +69²y dx² - Q.2-Solve the differential equation dy 15 d - 100y = 0 dx

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

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: (a) State the Intermediate Value Theorem.

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Q: Find a general formula for f(n) f(x) = (x-2)-¹ (Use symbolic notation and fractions where needed.)…

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Q: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: Consider the following graph of a function f(x) 7 A. For what value(s) x is f discontinuous? If f is…

A: As per our guidelines, I can answer maximum three sub parts of a question. Since there are multiple…

Q: Create a question related to the 2-D side of the shape. Related the question to vectors and then…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…