dy for 2xy = dr 4 cos(x) – y?." as Problem 18: A student answers a homework question "Find follows. Identify and explain the four mistakes they make in their work: d d (2.ry) dx (4 cos(x) – y²) d.x dy dy + 2.x = 4 sin(ax) – 2y- 2.x dx dy dy 2x 4 sin(æ) – 2y + 2x d.x

Q: 1. Find each integral. а) 2 sin * xcos sin ª xcos³ xdx b) | sin * xdx

A:

Q: Ball at time t-0 A light shines from the top of a pole 40 ft high. A ball is dropped from the same h...

A:

Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE? Prov...

A: Let's find. 

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

A:

Q: Σ -(2.r – 1)3". 14+1

A:

Q: Question 8 1 and g(z) = I - 4 16 find the domain of f(g(z)) Given f(z) : %3D %3D I + 3 Domain: Ques...

A:

Q: 1 1. lim In (x- 2) x-3 X-3+

A:

Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

A:

Q: x² – 16 9'(x) = x-2 with x + 2. %3D

A:

Q: imum. Select the correct choice below and, if necessary e your choice.

A:

Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: Find the critical numbers of the function. f(x) = x³ + x?

A:

Q: Given the function f(z) = – 4+ 6z“, calculate the following values: %3D f(a) = %3D f(a + h) = %3D f(...

A: Use function value for finding the expression.

Q: bounded by the curve f(x)= Vx-1, y-axis, line y =1 and line y =

A: We will find the area bounded by the curves. 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

A:

Q: dy given that y = dr -3 sec-1 (VI) (4*)(log2 r)sech z ° Using logarithmic differentiation, find

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u = 2*13...

Q: Write an equation to represent the following statem j divided by 9 is 5 Solve for j. Stuck? Review

A:

Q: An 8- meter ladder with its foot 4 meters from the wall slides away at a rate of 1.5 m/s.

A: Find your answer below 

Q: iven curves. y - x?, y - 2x - x? y

A:

Q: If g (x) = sinx dx and =3, then g (0) is equal to A) 2 В -2 4 D

A: To find the solution.   

Q: Let g be a function that is defined for all x, x 2, such that g(3) = 4 and the derivative of g is x²...

A: The interval where second derivative of function is positive, is the interval where the function is ...

Q: 1. Determine if the series cos" en? is absolutely convergent, conditionally convergent, or n=1 diver...

A: Given

Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

A:

Q: Find the area of the triangle with vertices P(1,3, –2), Q(0,0, 0) and R(3,5, 1). NOTE: Enter the exa...

A:

Q: ,In sec2(sin2y)dy can be evaluated by writing it as sec2y (A @ In sec2( sin2y) · cos2ydy ®/ sec2(sin...

A:

Q: n open-top cylindrical container is to have a volume 2197 cm. What dimensions (radius and height) wi...

A: Maxima

Q: 10.) volume of 480 ft'. The bottom will cost $5 per square foot to construct and the sides and top w...

A:

Q: Consider the points A(1, –1,2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of the...

A: This is a problem related to vector calculation. Please find the procedure given below.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (6...

A:

Q: If g (x) = sinx dx and g =3, then g (0) is equal to

A:

Q: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel...

A:

Q: Let f(x) and g(x) be described as in the graphic below, with the red function being f(x) and the blu...

A:

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

A:

Q: Rea -10 -5 10 ax -4-2 V2 i -5- 10

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A:

Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x3 – 3x...

A: Given problem:- Find the absolute maximum and absolute minimum of the function on the given interval...

Q: 1. The Jalopy Car Rental can rent 95 cars per day at a rate of $12 per day. For each $1 decrease n r...

A: Given query is to find the maximum revenue.

Q: A parabola passed through (3,15) and (9,15). Determine the axis of symmetry The x-intercepts of a q...

A:

Q: Sketch a graph that shows the water level versus time.

A: Given container is conical flask, whose radius decreases with height, and becomes constant. When wat...

Q: sinh(xy) Given z = f (x, y)=x' + find: x tan y a.) Vf (x, y) b.) The differential, dz

A:

Q: The GDP of a certain country is $615 billion and is increasing by $25 thousand per person. The popul...

A: Given query is to find the rate of change of GDP.

Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: Find the particular antiderivative that satisfies the following conditions: dy 4а 2 + 6а — 2; у(1) —...

A: We will separate the variable and the integrate as follows

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

A:

Q: То evaluate /e2"sin?(e2^)cos(e2")dx. we let u =e2* A) True B False

A:

Q: Evaluate the definite integral by the limit definition. x dx

A: