At 2:00pm a car's speedometer reads 30mph, and at 2:10pm it reads 40mph. Use the Mear Value Theorem to find an acceleration the car must achieve.

Q: How fast is the shadow of the balloon m

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Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: 1- Find the equation of the tangent to the 2(x? + y?)² = 25(x² – y2) at (3,1) Cind In(tam (3.2)

A: The given equation of the curve is2x2+y22=25x2-y2to find equation of tangent at (3, 1)

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A: Given:The angle of projection is 37 degree.The verticel distance from the window is 7.0 m. That is,…

Q: Based on Degree two function: V x (V f) = ? О 1

A: Answer: None of these.

Q: The bob of a 4 m pendulum describes an arc of circle in a vertical plane. If the tension in the cord…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 31° C D

A: Given:

Q: a. Determine the point (a, la)) for which f'(a) = a, given that Ax) = -x + 3x-7. b. Write the…

A: For (a), Given: We need to find the point a for which f'(a)=a. Here, f'(x)=-2x+3. So,…

Q: For numbers 11-14 consider trapezoid LOAF. L E F

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Q: DE, EF & FD are all tangents. What is the length of EF? [A] 8 feet 3ft [B] 9 feet 7 t [C] 10 feet A…

A: DE, EF and FD are tangent to the circle A.

Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: cost sin 2t-t

A: we have to find the following integral

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A:

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: State the atio of each of the 1 basic trig functions in relation toa for the triangle in the feure…

A: Let's find.

Q: At the 2015 NFL combine, Byron Jones set a new record in the standing long jump. During his record…

A: Find your answer below

Q: Which is the equation of OB?

A: We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is…

Q: Find the equation for (a) the tangent plane and (b

A: Given, the surface                      4z-x2=0 and the point P0(4, 0, 4).

Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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Q: 1- Find the equation of the tangent to the 2(x2 + y?)2² = 25(x² . y?) %3D at (3,1)

A: To find the equation of the tangent

Q: A plane flies at a speed of 380 mph on a bearing of S45°E. Relative to the ground, the plane's speed…

A:

Q: A ship leaves port at 1:00 P.M. and travels S35°E at the rate of 24 mi/hr. Another ship leaves the…

A: The path of ships can be given as

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Q: Why is the answer to the Distance Formula always positive?

A: Firstly we know that Distance Formula is as follows d =√[(x2 -x1 )2  +(y2  -y1 )2 ]

Q: . Betty and Bob take off in an airplane and travel at an angle of 45 degrees to the ground as per…

A: Let dh/dt represent the rate at which altitude is increasing:

Q: State the formula for the distance d between (x1, y1) and (x2, y2).

A: We have to find out formula

Q: Can I apply the formula s = rθ if θ is expressed in degrees?

A: The relation between arc length (s), radius (r) and angle (θ) subtented at center is given by - s =…

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

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Q: The formula to calculate the gravitational force between two objects is GM1 M2 p2 Fg gravitational…

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Q: oving at 38 ft/s when its motor suddenly qu How far will the boat coast in all?

A: Introduction: A differnetial equation has a form, dydx+p(x)y=q(x), where dydx is derivative of y,…

Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: We have to find displacement

Q: u rocket is launched verheally upward from a point a miles wr on the around. what is the speed of

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Q: Consider a tall building located on the Earth's equator. As the Earth rotates, a person on the top…

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Q: n the given question as follow, find the work done in pumping gasoline that weighs 42 pounds per…

A: We need following equations to find the required work done :               W = ∫ab F dx ..... (1)…

Q: A dog is located on the north bank of a river that is 2 miles wide. His home is located on thesouth…

A: Since we know that,  Distance =  Rate × timeWe also know that Time = Distance/ Rate So, we will…

Q: Q3/ By using definition, proof that cot x = dx csc2 x.

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Q: Realize Stoke's theorem

A: Given,        A→=j^x+k^y

Q: Give exact answers in terms of t where appropriate.

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Q: Which of the following is a tangent? G A C. D E B

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Q: a) Show that the length of the arc of parabola y? =16x measured from the vertex to an extremity of…

A: Given the parabola y2 = 16x.

Q: Ex. 2: Find the length of the 2/3 curve

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Q: The bob of a 3 m pendulum describes an arc of circle in a vertical plane. If the tension in the cord…

A: This question is related to simple pendulum.

Q: After flying at an altit nen its ground distance- of depression for this

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Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: Find the approximate root of the equation given below using the Secant method correct to three (3)…

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Q: Given OZ with tangents XW and XY, what is MWVY ? (10a) V (4a + 10)°, 70° X. O A. 70° B. 140° C. 250°…

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Q: A jet is flying in a direction N 20degree E with a speed of 500 mi/h. Find the north and east…

A: A jet is flying in a direction N 20degree E with a speed of 500 mi/h. Find the north and east…

Q: V25-x² dx

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Q: . A waterskier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising…

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Q: Find an equation for the e Foci: F(±2, 0), ver

A: The focii of the ellipse is ±2,0 . The vertices of the ellipse is ±3,0. The equation of the ellipse…

Q: , The equation y2(y? – 4) = x²(x² – 5) is known as the devil's curve. Give an equation for the…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.