Re-arrange the equation as a function of c only.

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: 2. As an application of partial derivative of multi-variable functions, provide one page abou…

A:

Q: The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled…

A: Given: Nx=0.03x2+0.315x+34.23x is no of years after 2000

Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: aber of linearly 1 is

A:

Q: Show that the line passing through the points (7,5) and (-1,7) is parallel to the line y…

A: For solving this question we will use the concept of coordinate geometry. First of all we have to…

Q: Classify the stationary points of

A: For part (3) We have to classify the stationary points of the given function. For part (a) The given…

Q: Use a linear approximation to estimate V65.

A: 653

Q: Find the critical points of the function by using algebraic partial derivatives test. Rx, у) - -х2 -…

A:

Q: Find the general solution. Orthogonal Trajectories

A: To Find :  General solution of Orthogonal trajectory of following

Q: Find the orthogonal trajectories of the family of curves.

A:

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

A:

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

A:

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Find the equation for the perpendicular trajectories of the family. 1. x - curve

A:

Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

A:

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Explain the rule of maximum and minimum using Derivatives with an example?

A:

Q: Find the orthogonal trajectories of

A: Given,          y=ax2+4ax+4a, where a being paarameter.

Q: Find the orthogonal trajectories to the family of curves:

A: Consider the given equation. x2=C-12y2lny2-1 Find the derivative of the function with respect to x.…

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: Find the curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

Q: Define “hyperbolic” trajectories?

A: we have to define "hyperbolic" trajectories

Q: Find the equation of the tangent line to the function f(x) 8vx - 4 at the point (64, 60). Provide…

A: Calculate the slope of the given function;

Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

A:

Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

A:

Q: The velocity components at point (2, 2) is specified by the equation u = x2 + 3y and v = - 2xy.…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the second derivative of y = -5 %3D -

A:

Q: The percentage of male workers who prefer a female boss over a male boss increased approximately…

A:

Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

Q: What does it mean to eliminate the parameter? What useful information can be obtained by doing this?

A: Query- What does it mean to eliminate the parameter? What useful information can be obtained by…

Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: ber of linearly

A:

Q: From the point (2,2), find the directions in which the directional derivative of f(x,y)=x2 +xy3…

A: Given f(x, y)=x2+xy3 we have to find the directions in which the directional derivative of function…

Q: How to calculate a gradient

A:

Q: Solve using partial differentiation

A: Given that  uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…

A:

Q: The function f (x) = ax³ – bx² has a gradient of 2 at point (1,6). Find its gradient when x = 2.

A: Given  f(x) = ax3-bx2

Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A:

Q: How can one use a vector-valued function to represent a curve in two dimensions?

A: a plane vector consists of two quantities: direction and magnitude. Given any point in the plane…

Q: Define Orthogonal Trajectories ?

A: Definition of Orthogonal trajectories:        Given a family of curves , an orthogonal…

Q: The populations of two neighboring villages A and B vary according to the med sinusoidal function…

A: Reviewing the information, Given populations of two villages A & B in the graph, from year 2000…

Q: - of linearly in

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: