Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x %3D

A: Given , the function f(x) = x2 - 2x Now we find      f(1) = 12 - 2•1 = 1 - 2 = -1,…

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: Pls help, ASAP

A: Consider the given function fx=4x2-10x+3. Obtain the slope of the secant line to the curve…

Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

A:

Q: The altitude h (in m) of a certain rocket as a function of the time t (in s) after launching is…

A:

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = x ln (x^3 + 2x - 4)

A: We will use the definition of differential.

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

A:

Q: Find the linear approximation of the function f(x) = √1-x at a = 0 and use it to approximate the…

A: The linear approximation of the function y=1-x=fx at a=0 is given by y=f0+xf'0. First to find f'(x),…

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

A:

Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Find y as a function of t if 8y′′+32y=0 y(0)=9, y′(0)=6.

A:

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: find and sketch the domain for each function ƒ(x, y) = 1/{ln (4 - x2 - y2)}

A: We have to find the domain and graph of given function fx,y=1ln4-x2-y2

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

A:

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

A:

Q: Find dz implicitly of the relation r + y³ = 3ry.

A:

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

A: Ux =0x&lt;01x≥0 So this step function is equal to 0 when time t is negative and is equal to 1 when…

Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

A:

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A:

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

A:

Q: Find y as a function of t if 7y" + 32y = 0, y(0) = 2, y'(0) = 4.

A:

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: Consider the function f(x, y) = x² + xy - 5x- y+1. Then:

A:

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

A:

Q: Find the linearization of the function at a . f(x) = sqrt  x    , a = 4

A: Consider the provided function, fx=x,    a=4 Find the linearization of the function at a. Apply the…

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

A:

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: y2 For function f (x, y) = x2+1

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.