Question

Find the maximum rate of change of f at the given point and the direction in which it occurs.

f(x, y) = 8y(x)^1/2
,    (16, 7)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: I am working on annuities and this one annuity is really difficult.  the question is Kristy Joe depo...

A: Given information:Periodic payment (P)= $160Rate of interest (i) = 0.66% = 0.0066Compounded monthly ...

Q: To convert from gallons to​ quarts, multiply by​ what? 7 gallons: 28 quarts

A: From the given information, there are 7 gallons and 28 quarts.Obtain the number of gallons equal to ...

Q: Suppose that you inherit ​$10 comma 00010,000. The will states how you must invest the money. Some​ ...

A: Note: Here we have considered that “$10 comma 00010,000 , $30003000, $0.140.14, ​$20002000, ​$0.190....

Q: 3. What it means to be well-defined: (a) Let C(0, 1]) be the vector space of complex-valued continuo...

A: The problem concerns well-definedness, linear functionals  and delta functional .

Q: Determine whether H is a subspace of M22. Give reasons! -X IX H={A€ M22 : A = 0 2x

A:  Set of all 2*2 matrices denoted by M22 forms a vector space. We have to determine whether H is a su...

Q: Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 1111 ​...

A: To find the numbers of cartons required in the cateogories of food and clothing to maximize the numb...

Q: P0.2 0.1 40 60 80 100 120 140 160 180 20 7.5 7.6 Time step t Figure 7.2 Plot generated by the m-file...

A: From the given information it is needed to calculate the value of x and y so, that the matrix equali...

Q: Let G be a group. Show that for all a, b E G, (ab)2 = a2b2 G is abelian

A: To prove that the group G is commutative (abelian) under the given conditions

Q: Pharmacy Calculations- what is the daily supply Amoxicillin 125mg/5ml  100 ml SIG: ii tsp tid  I got...

A: To choose the correct whole number between 13 and 14 , in the given context

Q: -(1/t)2 for t0 2.65. If f(t) = show that f(n) (0) = 0 for all n for t= 0'

A: To show that the function f(x) , as defined , has all its derivatives 0 at x =0

Q: 3*. Let (F,+) be the group of polynomials over3 X {x, a2, a3,...} be the set of all positive integer...

A: To describe the subgroup generated by the positive powers of x in the additive group F[x]

Q: #5 please.

A: Consider the given Babylonian formula for the area of trapezoid as:

Q: Please just do 3(b).

A: (b) To prove that the given function is not Riemann integrable using Lebesgue;s theorem

Q: Solve the given differential equation by using an appropriate substitution. The differential equatio...

A: To folve the given Bernoulli type differential equation

Q: The following question is based on the following information about the stocks of KT Corporation, Int...

A: To find the number of shares in each company, by sletting up three equations in the three unknowns

Q: Determine whether each of the following is a subspace of the parent vector space. The set of polynom...

A: To determine whether the given subsets are subspaces

Q: You need to buy some chicken for dinner tonight. You found an ad showing that the store across town ...

A: To determine the better option (between the two stores)

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways...

A: To count the number of selections  under given conditions

Q: what is the formula for converting gallons to pints?

A: From the given information it is needed to calculate the formula for converting gallons to pints.So,

Q: 4*. Let f G H be a group homomorphism. Prove: (a) If S G then f(S) 4 f(G) (b) Show by example that S...

A: To prove the stated properties of group homomorphisms

Q: just math but what is 1 3/4 x 1 1/2 in a mixed faction? sorry for wasting your time

A: Here we have to calculate:

Q: 1. Consider the function: f on [0, 1] by 7 if r1 f(x) |0 if 1 0, 1]. Prove that f is Riemann integra...

A: To prove that f is not continuous but Riemann integrable 

Q: 2

A: According to the given information:

Q: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of t...

A: To work out the required conditional probabilities

Q: 1. Let V be an inner product space. Suppose f,g E V such that f -gg (a) Prove that 1I2 = |lf- gll2 +...

A: To prove the required norm property in an inner product space, under the given conditions

Q: x + 7=2

A: Consider the provided equation:

Q: Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx,    x = r cos(θ),   ...

A: Click to see the answer

Q: give 2 examples of questions and answers for each material namely a. basic functions of complex numb...

A: Hi there! You seem to have uploaded many sub-parts. As per our norm we will be answering only first ...

Q: Given the vector properties: A x (B x C) = (A • C)B - (A • B)C (A x B) x C = (A • C)B - (B • C)A (A ...

A: 1)Consider (A × B) ∙ (B × C) × (C × A) = [A, B, C]2.Use the triple product identity and simplify it.

Q: Let G and H be groups, and let 0 : G -» H be a {x E G 0(x) = e} is called the kernel of 0 and is den...

A: From the given information:Let G and H be the groups

Q: Find the order of each of the elements of the group ((Z/8Z*, * ). Is this group cyclic? Do the same ...

A: To investigate the orders of the elements in the given groups

Q: Find the length of the curve. r(t) = 4t, t2, t3,     0 ≤ t ≤ 1

A: To find the length of the given parametric curve

Q: log(x-9)=1-logx

A: Consider the given logarithmic equation.Use the rules of logarithm and simplify the equation as foll...

Q: Assume that you have 7 dimes and 5 quarters (al distinct), and you select 4 coins. 1) how many ways ...

A: According to the given information:

Q: A quadratic function f is given. f(x) = −x2 + 10x (a) Express f in standard form.         f(x)=   ...

A: a)The general form of quadratic function is, a(x – h)2 + k.Rewrite the quadratic function in general...

Q: Please provide explanation as to how the end result was obtained. Please be as explicit as possible....

A: Use the matrix multiplication rule. According to this rule, the number of column of the 1st matrix m...

Q: Find the following: (A U B) n C   A={4,5,6}, B={4,6,8} and  C={6,7,8,9,10}

A: To determine the elements of the combinations of the given sets A, B and C

Q: prove that 3^1/2 is irrational

A: We have to prove that 3^1/2 is an irrational number.Let us assume that 3^1/2 is a rational number. S...

Q: Find the steady-state solution of the heat conduction equation aux = u, that satisfies the given set...

A: Given the heat conduction equation

Q: z1(x) = 3x2+xex, z2(x) = xex-x2  are solutions of a second order, linear nonhomogeneousequation L[y]...

A: To write down the general solution of the inhomogeneous equation L[y]= f(x), from the given informat...

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: Determine whether the sentence is a statement. x = x + 3

A: Definition for a statement is as follows.“A statement is a sentence that is either true of false but...

Q: You have a 50-pound bag of flour. You use some flour from the bag to make tarts. You make 50 tarts, ...

A: Total weight of flour = 50 pounds.Number of tarts made = 50.Weight of 1 tart = 5 ounce.Weight of 50 ...

Q: A survey of 300 parts showed that 150 had only camping, 20 had only hiking, 35 had only picnic area,...

A: It is given that, the total parks is 300.From the given information draw the Venn diagram as shown b...

Q: Order the following from least to greatest: A) 1000 grams B) 1/2 kilogram C) 3 pounds D) 30 ounces

A: The problem is concerned with arranging the amounts (expressed in different units ) in increasing or...

Q: Draw a venn diagram to represent the set A insersects B, but B has a line over it showing its a comp...

A: To represent the given combination of sets (A intersection B complement) in a Venn diagram

Q: Assume that the car lot contains 25 percent Volvos, 30 percent Corvettes, and 45 percent BMWs. Of th...

A: To work out the required conditional probability

Q: I need help solving/ understanding attached for abstarct algebra dealing with permutations   Thanks

A: To prove the property of conjugation of a 3-cycle in the Symmetric group

Q: Problems Section 9 number 6. Please answer the question

A: To simplify the expression and express it as a standard complex number

Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10....

A: To decide whether P is a subset of Q or the other way