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Question 15 Use implicit differentiation to find if: x In(y + 2) + y2 = 0...
question 1-10 x2 + y2 = 25. 1. Given: thecircle 2. Find: Use implicit differentiation and find the derivative, y. You can use your book if need be. Relative to problem W1, put in slope-intercept form (that is, y=mx+b) the equation of the tangent line to the circle at (-4,-3). Find each of the following integrals. Be careful! fx-sax ( 10x ax (Note: 1/(x^2) - **(-2)) Sex - 7 Jax 170 - Jos Sex (10x dx Novo - xp]ox S[e*...
4. [0/8 Points) DETAILS PREVIOUS ANSWERS LARCALC11 2.5.045. Use implicit differentiation to find an equation of the tangent line to the ellipse at the given point. x2 y2 = 3, (5,-2) + 10 8 y = 2 X
Exercise 4. Implicit differentiation (15 pts) Given z - xy + yz + y = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: az дх a. 0 b. 1 1 C 2 d. d e. None of the above a. b. C. d. e. Exercise 6. Double integral in rectangular coordinates (10 pts+10 pts) Let I = S. secx dydx. 1) The region of integration ofl is represented by the blue region in:...
Exercise 4. Implicit differentiation (15 pts) Given z3 – xy + yz + y3 = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: az дх a. 0 b. 1 1 с. 2 d. e. None of the above a. b. e.
15 PTS) 2. Use implicit differentiation to show that x + y +exy = 0 is an implicit solution to the nonlinear equation (1 + xexy)*%+1+ yexy = 0. dx
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
QUESTION 7 Using implicit differentiation to find az ax for x2 + xy -sin(z)-0 y + COSZ-X Х COSZ-X y COS2-X y +Z sinz-X
(4 points) 8. Use partial derivatives to perform implicit differentiation to find dy if 5x® y2 + sin (z^y) = 2y4 + 3x, where y is a differentiable function of x.
6x2 − y2 = 9 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
Use implicit differentiation to find the slope of the normal line of 4x2 + y2 = 8 at (1, 2).