X5 x3 +4 +4 dx

Q: 2√ty' =√1-y²

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Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: State the order of the given ordinary differential equation. (1-x)y" - 3xy' + 6y = cos x Determine…

A: Order = highest derivative order = 2

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose c = 11 and A = 55 degrees.

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Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: Given = (1 + x -- k) dy da 13 What is the value of k such that y is perpendicular to the curve y =…

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Q: Solve cos(x) = - 0.38 on 0 < x < 2π

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Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

A: g(x) = (1/2x^3-3x^2+4x)/(5x^2-30x+40)  Find the vertical asymptotes?

Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: What value(s) of 8 are an appropriate choice when proving the following limit lim (4x - 2) = 6 x-2…

A: We have to find the epsilon delta method

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1

Q: A rectangle is inscribed with its base on the x-axis and its x². What are the = upper corners on the…

A: We have to find width and height of rectangle.

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

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Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: Solve the differential equation for initial value problem using the method of undetermined…

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Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

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Q: F(x) = Se* - e*-1 at x = 1 Determine the equation of a line tangent to the curve at x =1

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Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: Activity Predece A A A B Find Draw of network analysis A B C₂D | F GEF

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Q: Consider the following initial-value problem. y ′ + 3y = e−3t,    y(0) = 5 Take the Laplace…

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Find the derivative of the following exponential and trigonometric functions: please attach your…

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Q: tody + y² = 0 dt

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Q: 2x² + 3x + 3 (x + 1)³ - dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

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Q: a. Find the lengths of the sides of a rectangle whose perimeter is 40 cm and whose area is 75cm².…

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Q: Find the equation of the tangent line to the curvey = 4 sina at the point (¹²). The equation of this…

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Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

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Q: 9- a) Evaluate the following integral. b) Find the indefinite integral: S S₁² 5Cos(t) 3.Sin5 (t)…

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Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

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

Q: 1 If f(x) = compute f(2) and f'(2)

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Q: Find the Taylor Series for In x about the value a.

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

A: We have to find the integral

Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: J 6x x +3 dx

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Q: As shown in the required readings or videos use a power series to find a general solution to Airy's…

A: Given : Airy Equation : y"+xy=0

Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

Q: Derivative application question please answer in full detail! A spherical balloon is being…

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Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: Determine the critical points of f(x) = er³-2x²-7x Ox=-2 and x = 55393 O There is no critical point.…

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Q: When fully multiplied out, what is the 8th term of (x-3y)¹2?

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Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Topic:- application of integration

Q: H.W: show that the equations are homogeneous and solve: 1. (x+y)dy + (x - y)dx=0

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

A: