Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

Q: If the tangent line to y = f(x) at (7, 3) passes through the point (0, 2), find f(7) and f'(7). f(7)…

A: Given: The tangent line to y=fx at 7,3 passes through the point 0,2 We have to find the value of f7…

Q: 4. Order

A: Please see the below answer.

Q: Set up the definite integral required to find the area of the region between the graph of y = 12 -…

A: Given:     The region bounded between the curves y=12-x2 and y=-29x+220 over the interval -3≤x≤3 We…

Q: An object is thrown upward at a speed of 117 feet per second by a machine from a height of 13 feet…

A: Given: the height h of the object after t seconds can be found using thequation: ht=-16t2+117t+13

Q: DETERMINE THE FOLLOWING: Differential Equation S GIVE EXAMPLES AS WELL BUT MAKE SURE IT 5. Degree

A: Concept: Differential equation: An equation comprising one or more variables (unknowns) and some of…

Q: A rectangular piece of cardboard measuring 8 in by 10 in is to be made into a box by cutting equal…

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Q: If f'(x)= tan-¹(x3 - x), at how many points is the tangent line to the graph of y = f(x) parallel to…

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Q: Let R be the region between the x-axis and the graph of f(x)=x^2−3x on the interval [0,3] The solid…

A: Given that the region R is bounded by the function f(x)=x2−3x and x-axis on the interval [0,3].

Q: 1. find the total solution to the problems d'y 5dy d12 a. + +6=t dt

A: Differential equations

Q: Sketch the graph y = x3 − 6x2 + 9x. Provide all working for finding the intercepts and stationary…

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Q: Find an integrating factor for each of the following equations and solve these equations. 1) (x² +…

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Q: Let: g = Find: O a. Select one: O b. О с. 3f² √5h O d. o²g oh 9f² √5h 20h³ 9f2 √5f 20h² +√√7f 9f²…

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ? 3x²y = 2x + y 3x²y =…

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Q: Let L=21M³+64NO²+√✓MNO Find the total deferential Select one: O a. ((126 M^3 + (MNO)^0.5) / 2M)dM+…

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Q: has

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: dy The equation2x = y² is a linear differential equation. dx A True B) False

A: Solution: Given data, 2xdy/dx = y2

Q: The solution of the differential equation y': || x 1 + 1 is:

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Q: e^x cos y dx - e^x siny dy = 0 is an exact DE, please solve its general solution with complete…

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: 8 3 ST 5 7 f(x) f'(x) -1 8 4 3 6 -2

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx = 0 with y(1) = 1 ?

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Q: Solve the following problems: a) Find the maximum error in the calculation of the area of a…

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Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale…

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Q: 5. Y = √√4x + 3

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Q: DETERMINE THE FOLLOWING: ¹2 2. Independent Variable Differential Equation GIVE EXAMPLES AS WELL BUT…

A: Here, we have  to determine what is independent variable in a differential equation.

Q: A B Which of the following functions satisfy x²dy+ y(x + y)dx = 0 with y(1) = 1 ? 3x²y = 2x + y x²y…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Concept: The volume of the solid is made by revolving the region around x-axis is given by…

Q: 1 - 3x + Σ+14 k=2 2! (k+ 2)! k!

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Q: The mean household income in the US in 2019 was about $89,930 and the standard deviation was about…

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Q: Let T be an onto linear transformation from IR" to Rs. 1. What can one say about the relationship…

A: We have given that  T is an onto linear transformation from  Rr to Rs .

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Recall: Disk method

Q: Let f(x, y) = x² - y² y-1 Sketch the domain of f on the xy-plane.

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Q: which is the appropriate comment on Jon's work. 1. In Step 2, the sign of one of the terms is…

A: The objective is to find the appropriate comment on Jon's work.

Q: 10. State the discontinuities of the given graph of f(x) and the reason why they are discontinuties…

A: We have to find out dis continuity

Q: Use exact area calculations (not Riemann sums or the FTC) to evaluate each of the following…

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Q: Could you please explain step by step how to solve. If f(x) = 2x sin x cos x, find f’(x)= Then Find…

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Q: 2. Simplify the following complex fractions. (3x+1)(x+2) x²-4 (3x+1)(x-1) x² - 1 1. 7 1 7+x X 3.…

A: The given expressions, 1. 3x+1x+2x2-43x+1x-1x2-12. 17-17+xx3. x+h-x8

Q: If f(t)=√√²+2√√3³, find f'(t).

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Q: Given: A(2, -5, 2), B(3,3,-4) and C(-3,2,4) Point in the z axes that is equidistant to both A and B…

A: According to our guidelines , we can answer only first three sub parts. Kindly re-post other…

Q: My friend Carlos, a graduate student, loves coffee and it is the one thing he pays full price for on…

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Q: The solution of the differential equation y' = ² - al 2 + 1 is:

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Q: Question 35 f 16x (2x²-3) 4 + c O4(2x² - 3) 4 + c O4x (2x² - 3) 4 + c O 48(2x2 - 3)2 + c Evaluate…

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Q: a) Find the derivative using the definition of derivative: f(x) = 7x² + 6x - f'(x) = = b) State the…

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Q: lim x→1 x²+√x +2×-4 √√√x+3-2 h 58.11||||| find the value of (h)

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Q: if f(3)=4 and f(4) = 5 what are f-1(5), f-1(4), and f-1(3)?

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Q: Which of the following is the general solution of the differential equation xy^3dx + e^(square of…

A: To find the general solution of differential equation.

Q: 1. Find the slope-intercept form of the equation of the l given that l is the perpendicular bisector…

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Q: The solution of the differential equation (e* + 1)ydy = (y + 1)e* dx is :

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Q: Find the derivative of the function g(x) = (2x² - 4x - 1)e² g'(x) =

A: Finding g'(x)