14. Copy and complete the following table. g(x) f(x) (f° g)(x) 1 ? a. b. ? x + 1 c. ? d. Vi ?

Q: Find all values of x for which f(x) = e?*(x² – 12) has horizontal tangent lines. %3D

A: Horizontal tangent meaning slope of those tangent are zero . Take the derivative and equate to zero…

Q: Q4: Find the value of for the expression y = e* sin (x) at x = 0. dx

A: To find dydx at x=0

Q: O Find the equation of the line tangent to the curve at the given value of the parameter. x cost+…

A:

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t= - Zn 4…

A:

Q: For what value of t will the slope of a line tangent to x = 6 sin t, y = t² + t be 0?

A: We have to find t

Q: E 8 10 6. F What is the tangent ratio for ZF ?

A:

Q: Sadako is crawling out of the television while a scared stationary 5-foot-tall man is watching while…

A:

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

A:

Q: Find y" for the function y = sec(t)

A:

Q: tind Hhe domanin and range of y: sech X

A: According to our terms and condition i have solved question 1 for next question repost

Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

Q: dx |(x2 + a²)² 1 Answer: 2a3 ах arctan () + C x2+a?.

A:

Q: 2 1 2 3 4 To find the blue shaded area above, we would calculate: f(æ)dx = area Where: a = b f(x) =…

A:

Q: If we approximate f(x)dx using trapezoidal rule and get the answer 0.25. Find f(1) given that f(0) =…

A: The trapezoidal rule uses trapezoids to approximate the area: Where, .

Q: For the equation given below, evaluate y at the point (2, 1). ev + 15 – e' = 3a? + 3y?. dy 3 at (2,…

A: We have to find derivative

Q: Use Definition 3.2.3 to find f'(x) and then find the equation of the tangent oʻI+*p = o y = Vx+1, a…

A:

Q: 2 The diagram shows a sketch of the curve y = a sin(hx) + c , for 0 SIST. Find the value of a, b and…

A:

Q: A) Find for the following functions: dx Y = x³y? + cos-1(y)

A: Since you have asked multiple question, we will answer only first question. If you want any specific…

Q: For the equation given below, evaluate dy/dx at the point (9,25).  sq.root(x)+sq.root(y)=8

A: Consider the equation sq.root(x) + sq.root(y) = 8.Solving the equation for y as follows.

Q: 4 3 1 2 3 4 To find the blue shaded area above, we would calculate: f(x)dx area Where: a = b = f(x)…

A: GIVEN DATA : Graph                           TO FIND : (a). a=___ &  b=____…

Q: 0.8 Evaluate e* dx using-trapezoidal rule by breaking it into 5 intervals. 0.3

A:

Q: 2ay" 17 when t=2. y' If x= Arctant, y= V 1+16, find the value of a if %3D

A:

Q: Given the function y=sinxcoshx. Find d3y.

A: We find dy/dx using the product rule

Q: If x= Arctant3, y=/1+16, find the value of a if 2ay" =17 when t=V2. y' A -2/7 © VE C O 2/7 E

A:

Q: Q:: Find for the following functions: - dx ( 12 degrees) 1) y = (x – 3)(2.x +x²) 2) /x.y + 3 = y? 3)…

A:

Q: 10. Circles tangent to the x-axis. Amm. [1+())- [yy +1+(.

A:

Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

A:

Q: . If xy + e' = e, find the value of y" at the point where x =

A:

Q: 0.8 Use the trapezium rule, with five ordinates, to evaluate [e dx. Correct your answer to three…

A:

Q: What is the range of the function y = – sin 4 (x+ ) + 3? 0-4sys2 02sys4 O-4<ys-2 oys-2

A:

Q: G Coshx dg G Sahr teンdx Anri y Ceshx = c

A:

Q: Express the hupotenuse of h of a night triangle with an area of 25 m a function of its peri meter P.…

A: This question is based on Triangle.

Q: Find the domain and range of the function f(x, y) = arccos(x + y)

A: Given f(x, y) = cos-1(x + y)

Q: 10. Circles tangent to the x-axis. Amm. (1+() =[yy +1+(

A:

Q: d'y and dx? dy 8) At which of the 5 points on the graph in the figure below are dx both negative?…

A: Points B and C which satisfy both the condition

Q: Given f(x) = 6xeª csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: fx=6xexcscx a). Differentiating with respect to x, we get…

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A:

Q: Draw the following function (y = t * sin (t). * Sin (t) if you know that the t-values range from…

A: given function is                                                 y=t sint,    0≤t≤2π graph is

Q: Show that E(Y) = 0

A: The E(Y) can be calculated as E(Y)= ∫-∞∞y·fydy

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: Given, To get the equation of the tangent line, finding slope is the first step. Here both x and y…

Q: G.NO.5.i. Intogiale ate follawing aquati fromu o Te x. a dca-2x)?dx. (a-3x)

A:

Q: If y = -cos x, what x-value corresponds to a y-value of between T and 27? ? ]T

A:

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the…

A: We will find the implicit differentiation at a point.

Q: Find dy Idx for the following implicit functions : y2.cot x = [sin(x. y)]-1

A: Given y2cot(x)=[sin(xy)]-1            =1sin(xy)            =cosec(xy)          ∵1sin(x)=cosec(x)By…

Q: 1. Reflect over the x axis J' K' L' M'

A:

Q: QA Find d for y = tanh(coth(x))

A:

Q: 3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

A:

Q: C-the derivative is y = 0³ e 28 cos 50

A:

Q: 2ay" =17 when t=- y' If x= Arctant, y=/1+16, find the value of a if %3D

A:

Q: (c) m'(5) for m(x) = g(x) · sin a. Round your answer to three decimal places.

A: We will find the value of m'(5) as following