Consider the following. f(x, y) = 6x - 5y (a) Find f(3, 1) and f(3.1, 1.05) and calculate Az. f(3, 1) = f(3.1, 1.05) = Az = (b) Use the total differential dz to approximate Az. dz =

Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: Solve the IVP for y(x): dy 3 + -y=7y³, y(1) = 1 dx X y(x) =

A:

Q: ū Hence write down the indefinite integral: -5 ln (42) da (Don't forget the constant of integration…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The plane 816 + y → 100 + N 10 = 1 intersects the x-, y-, and z-axes in points P, Q, R. Find the…

A:

Q: Determine all intervals on which the graph of f is decreasing. Answer Attempt 1 out of 2 Additional…

A: As we know The function f(x) decreasing  whenif

Q: Find the derivative of the function. f’(x)

A:

Q: 7000+8000 = ?

A: 7000+8000=?

Q: In a right-angled triangle with a hypotenuse of 200cm, what is the size of a side opposite an angle…

A: The given right angle triangle has hypotenuse .The aim is to find the size of a side opposite an…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: (d) h(-3) (e) lim_h(x) x → 0~ (f) lim h(x)

A:

Q: Find the general solution of the differential equation: y'—3y = e-5t Use lower case c for the…

A:

Q: Show that f and g are inverse functions analytically and graphically. - 1 f(x) = 5x + 1, g(x) = ) =…

A: f(x) and g(x) are inverse of each otheriff(g(x)) = g(f(x)) = x

Q: Evaluate the six trigonometric functions of the angle 9. (a) E sin(8) cos(8) || || || = tan (0) =…

A:

Q: the answer is incorrect please check

A:

Q: Using separation of variables, solve the initial value problem, dy dx - x¹e² = 8e", y(0) = 5

A:

Q: ty Continuity of Precewise Functions and TVI Continuity of Piecewise Functions and IVT xternal tool…

A:

Q: Consider the function. f(x, y) = 2(y + 1)x² Identify the point(s) on the graph of f at which the…

A:

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

A:

Q: -6 -5 -4 -3 -2 -1 9+ 8 7 6 AS 4 + The parametric curve defined by [x = 4tπ sin(2t) y=4-π cos(2t) is…

A: The given parametric curve equation is

Q: Write an equation for a function whose graph fits the following description. The graph of f(x)=√√x…

A:

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A:

Q: Given the matrices A and B, and the vector c, find the expressions in problems 1, 2 and 3, or…

A:

Q: Consider the following. x - 5, f(x) = x² + 5, 7-X, for x ≤-1 for-1 1 Find lim f(x). (If the limit…

A:

Q: The following integral may be evaluated by using integration by parts. Note: e can be entered by…

A: The integral isFormulas used,Using ILATE rule.

Q: part a last answer is wrong. part b last answer is wrong , please check both of them . thanks

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Provide me with the answer for part C

A: We have to evaluate the integral in part C.

Q: 9. Find a function f such that ƒ'(x) = x5 + 20 and the line 12x + y = −20 is tangent to the graph of…

A:

Q: [2² e2x cos 3x dx

A:

Q: Solve the separable differential equation for u, u(t) du dt 1 = Use the following initial condition:…

A:

Q: 7 Perform the indicated operation & simplify. Express the answer in the form a + bi. (3 + 2i) (3 +…

A: 1)(3+2i)(3-2i) 2)(6+4i)/(-3-i)

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² - 2(x + Ax) + 2 − (x² − 2x + 2)…

A: To find

Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

A:

Q: 6. Use integration to answer parts (a) and (b) below. (a) If f is continuous and f(x) dx = 10, find…

A:

Q: A population P obeys the logistic model. It satisfies the equation dP 2 dt 500 P(5-P) for P >0. (a)…

A:

Q: In 2000, there were about 200 million vehicles and about 281 million people in a certain country.…

A:

Q: Kim's bike ride is modeled by the function F(x). Kim went for a long bike ride because she is…

A:

Q: The value of sin x is given. Find cos x and tan x if x lies in the specified interval. 3 x-x[] XE 2…

A:

Q: For the function x² 2 if 0<x< 4 -4 if x = 4 2x+7 if 4 < x use algebra to find each of the following…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: z=x4

Q: Find the area of the shaded region. -4 y = x² (-2, 4) -2 8 6 4 2 (1, 6) 3y=2x+16 2 (2,4) y=8-2x 4 X

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an -4…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: 5. Consider the cost function, C(x) = 25000 + 100x + 0.1x² where C is given in dollars. The average…

A: Given Cost Function Given Average Cost Function Average Cost As we know that Marginal Cost function

Q: Consider the following. f(x, y) = 4x - 3y (a) Find f(2, 7) and f(2.1, 7.05) and calculate Az. f(2,7)…

A:

Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

A: limx→−313−x−4x+3

Q: On what interval(s) are the following functions continuous? a) f(x)=sqr(x-2) b) f(x)=x^2-2x+1 c)…

A:

Q: Integration by substitution: Mixed practice 8. fx³√x² +1dx

A: As per the Bartleby guidelines, answer only first question as the other question is not the sub part…

Q: For the function g whose graph is shown, find a number a that satisfies the given description. a=…

A: the limit of a function y=f(x) at a point x=a exists when the value of y approaches the same value…

Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) s (feet)…

A:

Q: The average price of a ticket to a baseball game can be approximated by P(x) = .04x2 + .52x + 9.38,…

A:

Q: 7. Find the present value of a continuous income stream F(t)=12+0.3t², where t is in years and F is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…