On what interval is the curve t2 X. dt y% = Jo t2 + t +2 concave downward?

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: Find the slope of the tangent line to the curve y = x e at (0,0 e°). dy dx (0,0 e 0) (Round to two…

A: Solution written in details below

Q: Estimate v99 by using a linear approximation of f(x) = /x about the value c = 100. Round your answer…

A: We use the power rule. Then we find f(x) and f'(x) at x=100

Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

A:

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: For the position function, s(t)=-16t2+103t​, complete the following table with the appropriate…

A: Consider the position function, s(t) = 16t2+103t.

Q: Find dy/dx and d^2y/dx^2 X=t-e^t, y= t+e^-t For which values of t. Is the curve concave upward?

A: Given that, x=t-e^t, y= t+e^-t

Q: Find the derivative of the given function. y=cos(e^-5theta^3)   dy/dtheta=

A:

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A: First obtain the derivative of the given equation as follows.

Q: +Inz Determine the equation of the tangent line to the graph of f(r) = V3 + 5t5 dt at x = 1.

A:

Q: The position of a particle at time t is s(t) = t3 + t. Compute the average velocity over the time…

A:

Q: 3. If f (t) = -t + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A: We are allow to solve only one question at a time  Thank you for your question

Q: .5 Approximate J, In x dx using the Midpoint Rule with n = 4. Round your answer to five decimal…

A:

Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.

A:

Q: The value of dy/dx of any function y = f(x) is defined as the A. maximum point B. inflection point…

A: The value of dy/dx of any function y=f(x) is defined as the slope of tangent line Hence option D is…

Q: Compute the average rate of change of f (t) = 40t – 16t over the indicated intervals. %3D -

A:

Q: Evaluate the derivative dt for the function y = 4Vt cosh vt – sinh(t?). 4.

A: Given:y=4t cosht - sinht2

Q: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w-) z=ez+3x

A:

Q: dy/dt= 2e-t/8, t is greater than or equal to 0

A:

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

A:

Q: If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given…

A:

Q: For the position function s(t) -16t103t, complete the following table with the appropriate average…

A: To find the average velocities on the given time intervals for the position function

Q: What is the average rate of change of the function g(t) over the interval from t = a to t = b? How…

A: The average rate of change of the function g(t) over the interval from t = a to t = b is given by:…

Q: e f² = ¹² Use Simpson's Rule to estimate dx with a maximum error of 0.1.

A: Simpson Rule According to Simpson's Rule, ∫abfxdx=∆x3fx0+4fx1+2fx2+........+4fxn-1+fx2

Q: Use the Simpson's rule to estimate S, ex dx with n = 4

A: Consider the given integral ∫12ex2dx with n = 4. Simpson's rule is,…

Q: On what interval is the curve y = 0, v- [ t2 dt t2 +t + 2 concave downward?

A: NOTE: Refresh your page if you can't see any equations. . to find the inflection point, first, we…

Q: If a baseball is thrown upward with a velocity of 45 m/s, its height in meters t seconds later is…

A: We know that, Average velocity          = change in position/time elapsed.

Q: Find dy/dx and d²y/dx². x = et, y = te¬t dy dx dzy dx2 For which values of t is the curve concave…

A: We have to find derivative

Q: At what value of tt does the local max of f(t) occur?

A:

Q: Evaluate the derivative dt -for the function y = 4vī cosh vĩ – sinh(t²).

A:

Q: dy =ky, where k is constant and y=6 when t=0, Also suppose that y=8 dt Suppose when =3. What is the…

A: The given differential equation is: dydt=ky∫dyy=k∫dt

Q: find the values of the derivatives dw/dz at z=4  if w=z+sqrt(z)

A: Write w using an exponent Then use the power rule to find the derivative of w with respect to z.

Q: The velocity (v) of particle at distance (S) from a point on its path is given by the following…

A: Solution

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 4 and dt dx…

A: First obtain the derivative of the given equation as follows.

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: The value of dy ´ of any function y=f(x) is defined as the dx A inflection point B slope of tangent…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the value(s) of at y= 1 given that x2y+y2 = 5. dx

A:

Q: Determine the average velocity of the function f(t) = vt +1 between the time intervals t = 3 and t =…

A: Given that: f(t)=t+1

Q: Suppose y = (sq. root of) 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt…

A: y=2x+1 Differentiating with respect to t, we get dydt=122x+1·d2x+1dt…

Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: Estimate the instantaneous rate of change ot P(t) = 3t?+4 at the point t= -2,

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: On what interval is the curve t2 dt t2 +t+2 y = concave downward?

A: The given curve is: y=∫0xt2t2+t+2dt Using fundamental theorem of Calculus says: ddx∫axf(t)dt=f(x)…

Q: Approximate v10 using a linear approximation. Round to 5 decimal places. つ

A: Here is the solution

Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…

A: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…

Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

A:

Q: Find the average speed over the time interval [1, 5] (time in seconds) of a particle whose position…

A:

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.