dy (y-1)√y²-2y-3 S.

Q: 1. (a) Find ? ; (u²quv). ди

A: To find the partial derivative with respect to u

Q: and flux of F=(x, 7T T ≤t≤ the circulation y) on C: r(t) = (3 cos (t), 3 sin(t)) for is positive,…

A:

Q: 5. Find the equation of a parabola with vertex at the origin whose properties are given below. a.…

A:

Q: (b) Where is the function f(x) = x¹e* a maximum?

A: Let's find maximum value of function and at which value of x.

Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: Jonathan uses this area model to show the product of two mixed numbers. Complete the equation to…

A: Here we have given an equation model as given below: Now solving this model we get:

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

A:

Q: Problem 3. evaluating them. ∞ 1 So₁² (2-3)³/2 5 dx Determine whether each integral is convergent or…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If 0 satisfies the inequalities sin (0) > 0, sin(0) cos(0) > 0, in which quadrant must lie? 1.…

A:

Q: lim (x,y)->(0,0) sin xy² 1² x² - xy lim (x,y)→(0,0) √x - √y

A: 1) Lim(x,y)-(0,0)Sinxy2/y2 2) Lim(x,y)-(0,0) (x2-xy)/(sqrt(x)-sqrt(y)).

Q: A house was valued at $100,000 in the year 1991. The value appreciated to $175,000 by the year 2002.…

A:

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The given function is; f(x,y,z)=x2yz-xyz3.

Q: Problem 4. (a) What is a convergent sequence? Give an example. (b) What is a divergent sequence?…

A: Convergent sequence :-A sequence is said to converge to a finite number

Q: • [ε (a) Evaluate S (b) Evaluate 3.re dr. r² sin z dr.

A:

Q: 2) Evaluate the definite integral cos a dx. Round your answer to 4 decimal places.

A:

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Given data as: and  Length of time interval∆t=10 sec.

Q: 21. lim 8118 2x5 - x x² + 3

A:

Q: 3. Consider the recurrence relation an = an-1 + 6an-2 with first two terms a = 0 and a₁ = 1. a.…

A:

Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: (a) A water container, whose circular cross section is 6 ft in diameter and whose height is 8 ft, is…

A: Given:    A = area of the tank a = area of bottom hole…

Q: Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. a) (gof)(6) b) (gof)(0)…

A: To find (fog)(a) = f(g(a)), first find g(a) . Then, put the value of g(a) in f(g(a)) . Let g(a) = b…

Q: g. What is the general equation of a circle whose center is at M(5,-3) and whose radius is 4 units.…

A:

Q: (b) Hence find the value of | Vy 2y(1 + y2x) ey?x dx dy. (c) Find the value of vaz-x2 ( + )

A:

Q: 1+ 3n4" for every integer n ≥ 0.

A:

Q: Find the value of f'(9) if f(t) = 10√t - 7 √t

A: Here is the solution:

Q: 2. Convert the following standard a. (y + 1)² = -2(x + 2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

A:

Q: Why does it make sense to model the monthly temperature with a sine or cosine function? Part 2.…

A: We need to model trigo. function.

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

A:

Q: Let -3 -3 -1 4 -1 -3 022 Evaluate the determinant of A using the row or column that minimizes the…

A:

Q: Prove or give a counterexample: Given x > 0. If x is irrational, then √x is irrational.

A:

Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: Find the equation of the lines tangent to the curve x² + y² = 4 and parallel to the line x = 3 ?…

A:

Q: dx (6-x²)z 1.ſ. 3

A:

Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: a. Solve the logarithmic equations. 1. log, 64 m 2. loggn=3 3. log, 4096 =3 4. 10g329=3 b. Study the…

A:

Q: The population of a country will quadruple in 2 years. If its current population is 13000, what will…

A:

Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x<1kx=14-xx>1

Q: to x years is Ix = -0.000354x 3 + 0.00452x²³² + 0.848x²-34.9% + 20,000 age 0≤x≤ 95.2 Find the rate…

A:

Q: 23. y = 2 x² + 1 x² - 1 3

A:

Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

A:

Q: 2. Obtain the general solution by the indicated technique: 2.2 y'=x-2ycot 2x linear equation of…

A:

Q: 34. S₁ x sin x cos x dx

A:

Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

A:

Q: 5e 42 sin(y), find a unit tangent vector to the level curve at the point component. Present your…

A: The function is  f(x, y)=-5e-4xsin(y)

Q: The equation N (t) 550 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

A:

Q: The demand function for Wally Winka's Neverending Lollipops is given by p= (12-x)In(x + 7) where p…

A: Given  p=12-x lnx+7 is the demand function When x=6    p6=12-6 ln6+7           =6 ln13   Rate of…

Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: 2. The position of a rider on a Ferris wheel is an example of periodic motion. Find three other…

A: 1 )A Rocking Chair

Q: Find the slope of the following lines.

A: