B- derive expressions of the height, flight time and range of a projectile in terms of the initial speed firing angle a and acceleration of gravity g.

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Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

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A: Given query is to find the domain of the function.

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A: This question is based on Trigonometric equation.

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Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

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A: We can solve this as follows:

Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

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Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

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A: Given query is to find the rate of change of radius.

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A: answer is in next step

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Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: use the first fundamental theorem of calculus

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Q: 5. f(x) = 2x + 3

A: First write the formula and then put all the values and simplify.

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Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec²x + 1+sin 1-sinx…

A: As you have asked for question d only. So I am solving that only. Thank you.   sec(x)*cos(x)=1…

Q: Directions: Find the antiderivative of 2 = 4x and answer the questions below. %3D dz a. What is the…

A: We will solve the problem

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Q: The solutions of the given modulus equation |3x – 7(4x – 2)| = 5 are - 9 19 19 9 19 25 ' 25 9 9 19…

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Q: Find the critical points, relative extrema, and saddle points of the function. (If an answer does…

A: f(x,y)=x2+y2+6x-2y+6