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Q: If f(x) = 15x + 4, find ƒ'(5).

A: Given: The given function is fx=15x+4 To find: we have to find the value of f'5 Note: Multiple…

Q: Solve the following differential equations. Show your complete and detailed solutions. dy xy-y+2x-2…

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Q: 1)Find a b. |a| = 5, |b| = 6, the angle . between a and b is 45°

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: x²y=1+x is a solution to (x²y+k) dx + x³dy=0

A: Topic:- application of derivatives

Q: Let f be the function given by f (x) = cos x - csc x. What is the value of f' (1) ? f' (1) is…

A: Finding f'(x)

Q: In the example below, Lisa has created a spreadsheet for monthly budget. Data are entered into cells…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: A) √ Q22 x A) tan¹+ Q23 024 The B)tan¹(x+2)+c dx = A) In+ + 1) ++ 3814 appropriate substitution of…

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Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

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Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1-x)y"+ (2x²-1) y'+k(2x-1)y=0

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Q: y" + 6y' + 9y = 16e¯* cos 2x

A:

Q: Sketch the graph of the function by first making a table of values. k(x) = ³√/-x X -27 -8 -1 0 1 8…

A: Let's sketch the graph of given function.

Q: BIU x² 5 4 X₂ 3 32 1 O 1 x 2 3 3.5 4 f(x) 1.653 2.02 2.533 22 E 3 ||| 4 5 Graph of f E P 7 6 4.5…

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Q: Integral Calculus. Answer step-by-step.

A: Here we have to integrate the given function.

Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x3³ x2 1 2 at x = : 0.77 J at x 1 (1+√1-x)²¹…

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Q: Using the method you deem appropriate, solve the following equations and calculate the value of the…

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Q: Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list.) P(x) = x³…

A: 1st question's answer: Given polynomial is: P(x)=x3-4x2-11x+30

Q: y = x²+4' at x = 2

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Q: Given the function f(x) = 2x² + 4x + 10. Find the average rate of change of f from x = -4 to x = 3…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=-4

Q: WITH AN EXPLANATION PLEASE. Determine the total differential dH of the function: H(x,y,z) = x^y+z

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Q: 3 tanx-2xy = c

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Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

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Q: 1. y = 7-x² + 4x³, at x = -1 2. f(x) = x³ = 5x + 4, at x = 1 x 2 x²+4' at x = 2 3. y =

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Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We need to graph function.

Q: Find the information for the function, f, graphed below. State your answers using interval notation.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the function is increasing…

Q: Eliminate the constant: =c₁e²x+c₂e³ 3x

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Q: Which of the following is the differential equation of the family of straight lines through the…

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Q: 10. Use the - definition of limit to prove the limit is 16. lim 6x-2 x-3

A: We need to show by the ∈-∂ definition of limit thatlimx→36x-2=16

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: This is a problem related to probability. Please follow the procedure given below.

Q: Q2) Solve using Laplace Transform y" + 2y' +5y = et sin t where y(0) = 0, y'(0) =

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Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: (a) x³ - 2x²-3x-2=0

A: Topic = Polynomials

Q: (a) The vector in 2-space of length 7 pointing up at an angle of 2π/3 measured from the positive…

A:

Q: For a binomial test, if pn = 30 and qn = 90, what is the value of p? Op = 0.25 Op=0.30 Op=0.60 Op =…

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1,…

A: Given :A(1, 0, −1)  B(5, −3, 0)  C(1, 2, 4)

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: dz dr sin (r) cos(r) cos (z) sin(z) = 0

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Q: dy xy-y+2x-2 dx xy+2y-x-2 y(-1)=-1

A: To find the solution of differential equation

Q: Solve the homogeneous equation (x^2+y^2)dx+2xydy=0

A: see below the answer and explanation

Q: Find the center and radius of the circle. x² + y² = 2 center (x, y) = radius Sketch the graph of the…

A: Topic- Equation of a circle Equation of a circle with center (a,b) and radius r(x-a)2+(y-b)2=r2

Q: 20. Compute the area bounded by the curve y² = 4x and y² = 8x - 8.

A: Let's find area bounded by the curve.

Q: d dx [f(5x)] = x², then f'(x) = ?

A: Derivative

Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A TRUE B FALSE

A: Given differential Equation,   y' = 2x-52y

Q: V The size of a balloon is changing with respect to time, such that the volume is given by V(t),…

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Q: Calculate the average rate of change of the given function over the given interval. Where…

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Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: Solve the differential equation (A) x + Iny=c (B) Iny-x=c Ⓒ Inc-y=x D) Iny=c dy dx =y

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Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: Q2: A: Find the volume of the region enclosed by the cylinder x² + y²4 and the planes z 0 and y+z=4.…

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Q: lim n→∞ n ((n + 1)(2n + 1) − 2) 2n³ 1.

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Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x³3 1 (1+√1-x)²¹ 7. 8. y = 52x+1, 1 2 at x = :…

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