Given the equation 5 sin 2xy = 2, evaluate Assume that the equation implicitly defines y as a differentiable function of x. dx

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Find the quadrant in which the terminal point detemined by t lies. sin(t)<0 and cos(t)<0…

A:

Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = " 2. II

A:

Q: Given f(x,y) = 5x sin(3xy). Find f,(5,3). Give you answer correct to two decimal places

A: Given fx,y=5xsin3xy fx5,3=?

Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: dy sin(x) Find for y = dr -3

A:

Q: For which of the following equations the functions yı (t) = cos(2t) and Y2 (t) = sin(2t)

A:

Q: Given f(x,y) 5x sin(5xy). Find f,(3,3). Give you answer correct to two decimal places. Answer:

A: Explanation of the answer is as follows

Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

A: To find the velocity of the given function.

Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: Consider g(x)= {a sin x + b, if x ≤ 2pi} {x2 - pi x + 2, if x > 2pi} A. Find the values of a and b…

A:

Q: Folve for fe sin x dx in the equation fe sin z dz = e sina+ e cos r - - See sin a dr +C

A:

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Given f(x,y) = 3x sin(4xy). Find f,(4,4). Give you answer correct to two decimal places. Answer:

A:

Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

A:

Q: The position of a particle is given by x(t)= sin(t2). Find formulas for the velocity, v(t) and the…

A:

Q: Express in the form y = f (x) by eliminating the parameter.x = t, y = tan^−1(t^3 + e^t)

A: Given:             x=t, y=tan−1(t3+et)

Q: The value C in y = sin (Bx +C) is called the _________.

A: The given equation is y=sinBx+C

Q: {2ху — tan y)dx + (x? — xsec?у)dy %3D 0 - -

A:

Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

A:

Q: Given x(t) = [sin sin († – ) ]õ(t), simplify x (t). %3D

A: x(t)=sin sint2-π2δ(t)

Q: Given f(x,y) = 3x sin(4xy). Find fxy(4,5). Give you answer correct to two decimal places. Answer:

A:

Q: Given f(x,y) = 5x sin(5xy). Find fxy(3,3). Give you answer correct to two decimal places. Answer:

A: Given :       f(x,y)=5x sin(5xy) To find : fxy(3,3)

Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

A:

Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

A:

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a…

A:

Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: Find y" given that sin(y) + cos(r) =I %3D

A: We have to find the second derivative

Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

A:

Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

A:

Q: Solve the following. If F is a differentiable function, then dx? * F(sin4x) =

A: Double differentiatie w.r.t to x

Q: Use the linearization of f(x) = sin x about an appropriate point Xo to approximate sin 610. Note…

A:

Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

A:

Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

A:

Q: Given x=sin5t and y=cos⁡5t, find the following derivatives as functions of t . a) dy/dx b)…

A:

Q: If y = sin (m sinhx), find the value of (yn)o

A: Given that,  Differentiate w.r.t.                         . . .(on squaring both sides)…

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

A:

Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: Given f(x,y) = 2x sin(2xy). Find fxy(3,3). Give you answer correct to two decimal places. Answer:

A: Given : Function fx,y = 2x sin2xy   To find : fxy3,3?

Q: For the equation y" + w?y = 0, Show that y(x) = A sin wx + B cos wx is a solution for all values of…

A:

Q: 5. x = A sin (wt + B); w a parameter, not to be eliminated.

A:

Q: Given f(x,y) = 3x sin(4xy). Find f,(4,5). Give you answer correct to two decimal places. Answer:

A:

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

A:

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y =…

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: Given f(x,y) = 3x sin(3xy). Find f,(3,4). Give you answer correct to two decimal places.

A: