Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving vertically near Earth's surface is determined by the acceleration due to gravity, which is 9.8 m/s². Suppose a stone is vertically upward at t = 0 with a velocity of 40 m/s from the edge of a cliff that is 100m above a river, then the height of the stone is given by %3D h(t) = -4.9t2 + 40t + 100 %3D a. After how many seconds does the ball reach its maximum height? b. What is the maximum height? c. How many seconds does it take until the ball finally hits the river? Round to one decimal place.

Q: 6. Find the area bounded by the parabolas y = 6x – x² and y = x² - 2x. Note. The parabolas intersect…

A:

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

A:

Q: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy = 0

A:

Q: Can you please type it

A: Answer is given in next step.

Q: True or false every rational number is a decimal

A: Rational number is a number in p/q form, where q not equal zero.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: This question is based on diffrentiation.

Q: e2 dx 4e2x – 8e* + 5

A:

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: Cost, Revenue, and Profit A company that manufactures sport supplements calculates that its cost C…

A:

Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: The given curves are; y2=x and x-4=0 Now find the point of intersection between the curve and line.…

Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].

Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: It has to be one of the answer options.

A:

Q: (#5) Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A: Let's find.

Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C

Q: 4In(Arctan x) = 1-y

A:

Q: find f'(x) if f(x) equals the given expression. a. 3x + 2x^2 b. In (cos e-x)

A:

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: 3 cSC x cot x dx

A:

Q: 2. Evaluate ((x +3)° 3x²dx. A) x* +3)* + C B) + 3)* +c D) * + 3}° +C a

A:

Q: csc(cot x) + cos? x dx .2 sin“ x

A: The given problem is solved below in detail.

Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

A:

Q: Find and classify all the critical points of f(x, y) = 2x - 9y - xy + x2 + 5y2 .

A:

Q: Is the answer 8= E/8 ? The writing confuse me for a bit. It seems like it is 3 but horizontally…

A: Explanation of the answer is as follows

Q: Researchers found the demand for cheese in a particular country for a particular year can be…

A: The equation is given by lnq = D-1.32lnp                                 ........1 Where, p…

Q: What is the answer for C I cant read that hand writing

A: We can solve this as follows:

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

A:

Q: P5: 4 – 9x²dx

A:

Q: (2) Find the following a f a.) f (x,y) = cos (x y) -x³+y4, find D fyx and i) axaxa %3D

A:

Q: -구 4 3 4 5 6 Water leaks from a tank at a rate R( t ) where R( t) = 3.6 + 0.47 t gallons per hour…

A: Given problem:-

Q: 3.

A:

Q: Convert to a rectangular coordinate. 5T – 4, 10. -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question 4 Investments and Loans 4) fou have an opportunity to invest $10000 for 5 vears. The…

A:

Q: In 2 e2x dx V1+ ex

A:

Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

A:

Q: complete

A: As per policy only first three questions are answered. Please refer to the image below

Q: 3. In the differential equation (9x - 4y+ 4)dx-(2x – y +1)dy = 0, the lines 9x – 4y +4=0 and -(2x -…

A: here we have to find intersecting point 9x -4y +4 = 0 9x -4y = -4................(1) -(2x-y +1) = 0…

Q: (e) lim [p(x)]9(x) (d) lim [p(x)]^x) Xa INDETERMINATE Xa INDETERMINATE 9(x) (f) lim p(x) Xa

A:

Q: Determine the x-values at which the graphs of f and g cross. If no such x-values exist, then state…

A:

Q: I don't understand the a20 answer?? Is that 2n-7??

A:

Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

A:

Q: cos³ 4y /sin 4y dy

A:

Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

A:

Q: The answer is incomplete and should be pi/4. How can I get to that answer?

A:

Q: C) 8 +C

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A:

Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

A:

Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

A:

Q: . Evaluate cos 0 if sin 0 = -1/4 and 0 is in quadrant II

A: