dx using the following information. Assume that x =x(t) and y y(t) Find dt dy x2 +y 13.05, -27 and y 2.4 2 when x= dt dx (Type an integer or a simplified fraction.) dt Enter your answer in the answer box and then click Check Answer. All parts showing Type here to search O

Q: Evaluate dz using the given information . z = 2x2 + 4xy + y2; x = 5, y = -1, dx = 0.03, dy = -0.02

A:

Q: dy Use implicit defferentiation to find if given 2xy-y dx = 1. O A. y-x O B. X. X-y OC. X. У -х O D.…

A: Given implicit equation is as below.

Q: 49 x2 f(x, y) dy dx f(x, y) dx dy Jo 49 y2 Viewing Saved Work Revert to Last Response

A: Topic:- application of integration

Q: Evaluate dx K) at and ) dt, where a and b are constants. dx ](Simplify your answor.) %3D ] (Simplify…

A: Use fundamental theorem of calculus

Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = -…

A:

Q: for y =u dx 3/2 and u = 10x +3 using the chain rule formula dy dy du du dx Compute dx du and dx…

A:

Q: Evaluate the following antiderivatives a. ∫3sinx dx

A: Given: I=∫3sinxdx We know that ∫sinθdθ=-cosθ+c…

Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

A:

Q: dx Assume that x = x(t) and y = y(t). Find using the following information. dt dy x2 + y? = 2.92; -…

A:

Q: Exercise:solve the following different D(x+ ye)dx - xe dy = 0. %3D

A:

Q: Evaluate dz using the given information. z = ln(x2 + y2); x = 2, y = 3, dx = 0.02, dy = -0.03

A: z=ln(x2+y2)x=2;y=3;dx=0.02;dy=-0.03;

Q: 12. Use the substitution x = sec 0, where 0 < 0 < T/2 or T < 0 < 3#/2, to evaluate Vx2 1 dx x*

A: We will evaluate the given integral by using substitution method as shown below

Q: Use the formula for the slope of the tangent line to find 2 of c(t) = (5t + 9, 3t – 8) at the point…

A: The curve is defined by the following parametric equation  c(t) = 5t+9,3t-8 Where, x = 5t+9 and y =…

Q: Q2: Evaluate the following: (answer only two) (a ) S2 dy f, sinx dx (b ) S, dx f* dy S**-y dz +y-1

A: Integration

Q: Can you help me step by step?

A: Differentiate the equation for y with respect to x,

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

A: Given query is to solve the following using the substitution:→∫x-97dx→∫r23-r6dr

Q: Evaluate J e*sinh2x dx Select one: O a. ex 3X а. e- + C 6 2 O b. e-X e 3x + C 6. O c. none of the…

A: The given integral is ∫e-xsinh2x dx

Q: dx = 8. Find dt dy Assume that y = 5x and dt |(Simplify your answer.)

A: y=5x and dxdt=8

Q: (x+ 1) dx using the substitution of u =x +3. Vx + 3 (c) Evaluate

A:

Q: 7x 21 dy dx\x=2 ,where y = %3D Find x+1 Enter the exact answer. dy dx\x=2 %3D

A:

Q: dx given that dt Find 9x + 4y = 13 x = 1, y = – 1, and dy = 5 dt %3D Give your answer as a simple…

A: The given function, 9x2+4y2=13, x=1, y=-1 and dydt=5

Q: Q1 (a) Interchange the order and evaluate the integration, SL y' dx dy.

A:

Q: Evaluate dz using the given information z = ln(x2 + y2); x = 2, y = 3, dx = 0.02, dy = -0.03

A: We have a given function as   z=ln(x2+y2) it is given that x = 2 y = 3 dx = 0.02 dy = -0.03 We…

Q: dy for the following: dx 1. Find (a) y = (6x² – 6x + 12)5 (b) y = cot© 6x (c) y = etan 12x %3D

A:

Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: Determine how large the number a has to be so that 1 dx Submit Answer

A:

Q: Comprte Dy and dy for given values of x und dx= Ax. 4ニ-4×+レX=-Ax=dx= 0.03 メニーしA×= dx= 0.03

A:

Q: dz = 2ni to deduce that z+1 Use the fact that (x+1)dx+ydy Sc O (x+1)dy-ydx = 0 and Jc (x+1)²+y² =…

A: Given ∫c1z+1dz=2πi ......(1)we have to prove that ∫c(x+1)dx+ydy(x+1)2+y2=0 and…

Q: u du Formula Answer dx 6. S x In x+x

A: ∫1xlnx+xdx

Q: Using Range-Kutta 4th order method, evaluate the following equation dy 1+2y2 +y4, y(0) = 0 for x =…

A: The given problem is to find the values of function at x=0.2 and x=0.4 for the given initial value…

Q: dy You need not expand your answer. dx Calculate y = 3.9 + (x² + 1) 3.9 dy dx Need Help? Read It

A:

Q: Q.2 Evaluate dx. (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D

A:

Q: 7 dy find at x= 1. dx If y = 6x + dy at x = 1 is The value of (Simplify your answer.) xp

A:

Q: dx (a) If x² + y? = 100 and = 15, find -when y is positive and x = 0. dt dt dy dt (b) If x2 + y? =…

A:

Q: Bifferentiate the following function. 3x +7-5e* y= dy dx

A: given :

Q: dx Find given that dt 9x² + 4y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

A:

Q: 9 (x 8) dx dy A) Skutch B) Rlwoitu im gcexcrse 0gder of imtgred ) Evaluate gr*y) = Sim(x3-1)

A: Given ∫04∫y2 gx,ydxdy

Q: dy when x = -3 and dt dx Given y= 4x +5x, find = 5. dt dy (Simplify your answer.) dt I3I II

A:

Q: Jse the information to find and compare Ay and dy. y = x4 + 2 x = -1 Ax = dx = 0.01

A: Here we have,

Q: Consider the following function. y2 In(x) = 3 dy for Assume y is a function of x. Find each of the…

A:

Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: dy of the following functions: dx Find 3. 7x 4x + 9x +3 (i) y = (ii) y = Vx +

A:

Q: dx Assume that x=x(t) and y = y(t). Let y = x +1 and 4 when x 5. dt dy Find when x = 5. dt dy…

A:

Q: dx Assume that x = x(t) and y y(t). Find using the following information. dt dy 2+y0.73, - 2 when x…

A: Differentiate both sides of the given equation as follows.

Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

A:

Q: Q3:Evalaute the following integration a) ſ cosvx –1 dx (Ву part) dx b) S. (by trigonometric…

A:

Q: Calculate T5 and M5 for [, 7e* dx. (Use decimal notation. Give your answer to four decimal places.)…

A: