Consider a projectile launched from ground level at an angle of elevation 0 with an initial velocity vo: The maximum horizontal range is given by Vo sin 20 , where g is the acceleration due to gravity (g= 32 ft/sec or g=9.8 m/sec"). g Xmax A quarterback throws a football with an initial velocity of 66 ft/sec to a receiver 44 yd (132 ft) down the field. At what angles could the ball be released so that it hits the receiver's hands at the same height that it left the quarterback's hand? Round to the nearest tenth of a degree. Therefore, the ball can be released at an angle of approximately or

Q: For long cirular cfinder of Re two halves maintained at temprature U1 and Vi respectively, Show that…

A:

Q: 6. (d) Sketch the curve described by x = 2 sin t , y = 2 cos t (you can use your calculator). (e)…

A: To sketch the curve x=2sint,y=2cost

Q: The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical…

A: Given that The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the…

Q: Find the length of the curve r = cos(f) + sin(0), 0sOs

A: The objective is to find the length of the curve.

Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

A:

Q: 4. A discus is thrown from a height of 4 feet with an initial velocity of 65 ft/s at an angle of 44°…

A:

Q: Use Newton’s method to find the coordinates, correct to six decimal places, of the point on the…

A:

Q: 2. Find the point on the curve r(t) = (12 sin t, -12 cos t, 5t) at a distance 137 units along the…

A:

Q: Two masses hanging side by side from springs have positionss1 = 2 sin t and s2 = sin 2t,…

A:

Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

A:

Q: 6. An object is thrown vertically upward from the ground with an initial velocity of 1960 cm/sec.…

A: GIVEN - INITIAL VELOCITY =1960cm/sec = 19.6 m/sec  HINT -USE NEWTON LAWS  TO FIND - maximum height…

Q: (Sece tana) Sec de Cot e Cos?0

A:

Q: (a) (., Consider the curve defined by ry = In(3x + sin(y)). Use implicit differenti- ation to find…

A: Consider the given equation of the curve, xy=ln3x+siny Use the implicit differentiation,…

Q: . Suppose a certain object moves in a straight line with the follov eters per second and / is in…

A: we have ,  v(t)=-2+t+3 sin(πt) .............(1)

Q: The approximation of the root of the function f(x) = x³ +x – 2 accurate to 2 %3D - within 10-2 using…

A: We are asked to find the approximation of the root of the function using newton's method.

Q: The position of a mass oscillating at the end of a spring is s(t) = A sin ωt, where A is the…

A: Given that the position of a mass oscillating at the end of a spring is s(t) = A sin ωt, where A…

Q: If an object of weight W is dragged along a horizontal plane by a force acting along a rope attached…

A:

Q: Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

A:

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),…

A: We have to find dsdtt0=π4

Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = x³ as follows. 2 be the…

A: Given equation is cosx2+4=x3. To approximate a root of the equation when x1=2.  Formula for Newton's…

Q: Find the velocity and acceleration of a particle whose position function is <(1)=sin(21)+ cos(t)

A:

Q: The curves r₁(t) = (5t, t², t3) and r₂(t) = (sin(t), sin(5t), 4t) intersect at the origin. Find…

A: see my solution below

Q: The area of a triangle is to be computed from the formula A = ½ab sinθ, where a and b are the…

A: Given that, the area of the triangle is determined by A=12absinθ where a, b are two sides and θ is…

Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

Q: If we ignore air vesistance, then the range RO) of 'a ves pect to the X axis base ball hit at an…

A:

Q: At 2:00pm a car's speedometer reads 30mph, and at 2:10pm it reads 40mph. Use the Mear Value Theorem…

A: Let the time 2:00 PM be the initial time, And the time 2:10 PM be the final time instant, The…

Q: Express the circular function cos+sin as a single cosine with a phase displacement T Rcos (+a) where…

A:

Q: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

A: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: The given question is the application of integration and solved as shown in step2.

Q: Will a truck that is 14 feet wide carrying a load that reaches 10 feet above the ground clear the…

A:

Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: Sketch the motion of a particle with position as: x = 5 sint y = ²/-nstsn - St≤n as tvaries in the…

A: We need to plot the motion of the particle, whose position is defined as: x=5sint, y=t2 in the…

Q: The curves r1(t) = (3t, t2, t) and r2(t) = (sin(t), sin(5t), 5t) intersect at the origin. Find their…

A:

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x1 = 1 be the…

A:

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. What is the…

A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

Q: A baseball is thrown from the stands 25 ft above the field at an angle of 40" up from the horzontal.…

A: Given that a baseball is thrown in projectile motion from the stand of height 25ft. at an angle with…

Q: Find the length of the curve r = 4 – 4 sin 0

A:

Q: Find the motion of the mass-spring system in Fig. 72 with mass 0.125 kg, damping 0, spring constant…

A:

Q: find the temperature in a bar of length 2 whose ends are kept at zero and lateral surface insulated…

A: Consider a bar of length 2 whose ends are kept at 0 temperature. The lateral surface is insulated.…

Q: Determine the speed (in meters per second) of a particle with a trajectory (2 sin (3t), 9 cos (3t)),…

A: Consider the given parametric equation of the trajectory of the particle, 2sin3t,9cos3t so we can…

Q: 10 cos 0 and y = 10 sin³ 0, find the total length of the curve swept out by the point If x = (x, y)…

A: We have to point length of curve swept out by the point:

Q: A rod with density p(x)=4+sin(x) (in grams per cm) lies on the x-axis between x=0 and x=pi/3. Find…

A: Please see the explanation below

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: A bascboll is thrown with an nitial velocity of 45 myr = 6ol6 f%s at an angle morizontal and from…

A: Given: Initial height above the ground h0 = 5 feet Initial velocity v0 = 66 feet/second

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 49 lb/ft. what is the…

A:

Q: 4. If a water wave with length L moves with velocity v in a body of water with depth d, the velocity…

A: Given that, a water wave of length L moves with a velocity v in a body of water with depth d. Note…

Q: A storage room in a bakeshop has its roof inclined and meets the level floor 8 meters from the door…

A: Given: DX=8 m……1DT=3DX……2   Also, Width of tray=1 mHeight of tray=2 m……3   To find: Distance between…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.