Evaluate the integral. 11x² da (x + 1)(x² + 1)

Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

Q: 14. x+5 x²- x - 14x +45 Describe the set of x-values where the function is continuous, using…

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Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

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Q: Find an equation of the line containing the points 11, 42and 13, 82.

A: Given data:- The given points, 11, 42 and 13, 82

Q: Let f(x,y)=(−(5x+y))^7 . Then     ∂^2f/∂x∂y =     ∂^3f/∂x∂y∂x =     ∂^3f/∂x^2∂y =

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Q: f(x)=4ln(4x+6ln(x)), find f'(x).   f'(x)=

A: Given query is to find the derivative of the function using chain rule.

Q: Solve equation log5x+log(x-1) = 2 without using a calculator.

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Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

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Q: what is the answer to the problem

A: We want to use implicit differentiation to find partial derivatives.

Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: find f + g, f - g, f # g, and fgfor each pair of functions. State the domain of each of these…

A: Given, fx=3x2+x+1gx=3x

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A: By using synthetic division method the solution of given problem is as follow

Q: 4. Linear Equations b. 2y(y² - x)dy = dx

A: We can solve this as follows:

Q: Let f(x) be the function 9 x² − 3 x + 4. Then the quotient a = Number and b = Number f(4+h)-f(4) h…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ + 2x²y +…

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Q: Integrate [8³e³ 13 ft³e est dt t³ est dt. =

A: The solution to find the integral  of given integration is as follow.

Q: If y=f(x)=7e^x + 3x^4 - 20x - 5, Find the equation of the

A: Using derivative first find slope m,

Q: Which of the following equations OA. (2x sin y + y)dx + (x² cos y + x)dy = 0 OB. 1 dx-dy-0 y O E.…

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Q: Which of the following equations can be made into a linear differential equation?

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B.…

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Q: Boyle’s Law says that the volume V of a gas atconstant temperature increases whenever the pressure P…

A: Given: Volume and Pressure are inversely proportional. P=14.7lb/in2when V=1000 in3 To find: V when…

Q: 1) Using the definition, calculate the derivatives of the functions. Then find the values of the…

A: Solve by derivatives

Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: Evaluate the following integral. 9 4 dx 1-√√x

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Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 9x-³, a = 5. (Use…

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Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

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Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

Q: Use the formula for nPr to evaluate the expression 8P0.

A: Given: The given expression is:  8P0 Formula Used: Prn = n!(n-r)!

Q: Problems: 1.(x³ + xy² − y)dx + (y³ + x²y + x)dy = 0 2. (ex siny + ey)dx - (xe-y-e* cosy)dy = 0

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Q: The answer is incorrect

A: We have to find derivative value at the given x-value.

Q: Solve for the value of C in the equation: (2xy4e³ + 2xy³ + y)dx + (x²yªe¥ − x²y² – 3x)dy = 0 when…

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Q: Find a general formula for f(n). ƒ(x) = (x + 7)−¹

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Q: Suppose that f1x2 = 4x - 1 and g1x2 = - 2x + 5.(a) Solve f1x2 = 0. (b) Solve f1x2 7 0.(c) Solve f1x2…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: If f1x2 = x2 - 4, find f1 - 22.

A: Given, fx=x2-4

Q: 9. For what value of a is the following function continuous at every x? a x+6a, x22 8, x<2 Select…

A: Given query is to find the value of "a" that makes function continuous everywhere.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 4 2√2 sin…

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Q: Evaluate the limit 16x √x lim x 16 4 Number

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Q: A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S…

A: Given :d=46 cm

Q: Determine the solution of the differential equation: dx + -1 dy y² y

A: The given differential equation is dydx=x2y2+xy-1

Q: 1. If an ((¹+√5) - (¹-√5)n), find a, and a₂.

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Q: Evaluate the limit If the limit does not exist enter DNE. Limit Number = lim x 6 x2 x-6 6 x

A: To evaluate the following limit.If the limit does not exist then to enter DNE.limx→6 x-6x2-6x

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

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Q: Explain how the domain of g1x2 = 2x compares to thedomain of g1x - k2, where k Ú 0.

A: Given, gx=2x

Q: Consider the following limit statement: lim (9x-3) 15 x → 2 Find the corresponding value of 6 when &…

A: givenlimx→39x-3=15

Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

A: We need to find partial derivative. NOTE - As per Bartleby guidelines we can solve one question.…

Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

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