Use the Chain Rule to find dw/dt. dw dt = w = In x² + y² + z², x = 3 sint, y = 8 cost, z = 6 tan t

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…

Q: = Water is flooding into a basement at a rate of f(t) = -2√√t + 5. Water is being pumped out at a…

A: a) 6.2288 ft3        b) -0.989 ft3/hr         c)  Volume max. @ t=1.457 hrs,    Total amount of…

Q: Solve the equation. 0.006x=25

A: x=536.48Explanation:Step 1: Take the logarithm of both sides lne0.006x=ln(25) Step 2: For the left…

Q: Solve for P Round to two decimal places.

A: Answer is given below :-Explanation:

Q: Use the counting techniques. A bag contains two red marbles, three green ones, one fluorescent pink…

A: The probability that she gets one of each color other than fluorescent pink, given that she gets the…

Q: Find the slope of the tangent line to the curve below at the point (5,8). 4x+y+√√4xy =…

A:

Q: C(q)=560+ 15g, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars…

A:

Q: Differential equations have been used extensively in the study of drug dissolution for patients…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: please give the proper answer at the end for each other, because i uploaded the question last time ,…

A: (a) (2−3π​, 2−π​)(b) (−π, 1)(c) (0.57, 0.079)(d) (−6.18, −π)∪(0, 0.57)Explanation:Let us make a…

Q: A police car is located 60 feet to the side of a straight road.A red car is driving along the road…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: Find the directional derivative of f(x, y, z) = x2yz +zy5at the point (1, 1, 7),as you leave the…

A: The objective of this question is to find the directional derivative of the function f(x, y, z) =…

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Answers:  ∙fxx​=25y2e5xy∙fyy​=25x2e5xy∙fxy​=5e5xy(1+5xy)∙fyx​=5e5xy(1+5xy)Explanation:Step 1:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 3)Option C is correct answer  4)Option A is correct answer  Explanation:

Q: Solve the following logarithm equation. There will be two integer solutions - one w be a valid…

A: The given equation is

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: a)x-intercepts are −3,0,3.y-intercept is 0. b)The local maximum is…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Let f(x) = ex-x. (a) Find the critical values of f. Classify each of these values as a relative…

A: (a) Critical point x=0At, x=0 , f(x) has relative minimum value 1.(b) y=(e-1)x(c) a=0…

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

A:

Q: 200e-x²-12²/4-2²-19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots…

A: The rate of change of the temperature at the point (1,-1,1) in the direction toward the point…

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer:  gu​(0,0)=17gv​(0,0)=8Explanation:Step 1:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 1: The answer is option a. ((10,−6,−3)+s(1,2,−2)​)Question 2:The correct answer is option…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: and Y. If Zxy = -5y, what Assume z is a smooth function of x can you say about each of the…

A: Answers: (a) −5y(b) 0(c) −5Explanation:Step 1:

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation…

A: The objective of the question is to find the vector equation of a line that passes through a given…

Q: Q1/Show that the differential equation by by y' = x²y x³ + y³ is homogeneous and find the particular…

A:

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: Hello, I am in the middle of an exercise and I am getting tripped up on solving this integral. Could…

A:

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Answer is given below :-Explanation:

Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: Let F be a smooth 2-dimensional vector field defined on an open set U inthe plane containing a point…

A: The objective of the question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Cost A home improvement contractor is painting the walls and ceiling of a rectangular room. The…

A: Given:A contractor is painting the walls and ceiling of a rectangular room. The volume of the room…

Q: If f f(x) dx = 7 and = 7 and f f(x) dx = −7, then √ f(x) dx = _ ? (Answer accurate to nearest…

A: Answer      -14Explanation:For any query with the solution, please ask in comment box.

Q: Compute the following integral problems [10x-12x³-5dx Determine f(x) given that f'(x)=16x4-9x² − x .

A:

Q: If z = 3x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz.…

A: ### Summary:- The actual change in z  as (x, y) changes from (1, 3) to (1.05, 3.1) is 0.9175.- The…

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 0 and x = The curve y = 9√√√ is rotated about the x-axis between x = : 1 through an angle of 2…

A: ans=40.99 pie sq unitsExplanation:

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral with n -…

A:

Q: 2 Determine a quadratic function f(x) f(x) = ax² + bx+ C in standard form, if its graph passes…

A: The objective of this question is to find the coefficients a, b, and c of the quadratic function…

Q: #9: Use the method of variation of parameters to find a particular solution to the following…

A:

Q: Please don't provide handwritten solution ....

A: The objective of the question is to evaluate the integral of the function sqrt(3-x^2) + 2x.

Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A: The objective of the question is to show that the function u(t) = T(t) - Tomg, where T(t) is the…