Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2), P o(3, 3, 3), u = 3 i+ 4j 13 13 13

Q: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

A:

Q: f(x) : 1

A: The given function f(x)=1x2

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

A:

Q: Find the value(s) of x for which f(x) =4x-3/4x^2+17x-15 is discontinuous and label these discontinui...

A:

Q: 2x 4x e dx

A:

Q: Let f(x): What is the equation of the vertical asymptote of f(x) and what is the sign of f(x) as x -...

A:

Q: Determine whether the series converges or diverges. ∞ ∑                                         2...

A: Given query is to find series converges or diverges.

Q: 1. A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5 min...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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

A: We have to find w vector for given condation.

Q: A lighthouse is located 1500 feet away from a straight beach. The beam of light coming from this lig...

A: Light beam

Q: A manufacturer has a steady annual demand for 9,600 cases of sugar. It costs $10 to store 1 case for...

A: Find your answer below 

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

A: We can use exponential decay function to module the given data

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

A:

Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

A:

Q: Find the indefinite integral using a table of integration formulas. 2) SV25X2 + 100 dx

A: Given: - The indefinite integral is, ∫25x2+100dx To find: - The solution of the given indefinite int...

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

A:

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

A:

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the area of the shaded region. y y = x' - 15 x 10 y = x (4, 4) -6 2 4 (-4, –4) -10 - 20 A = 20

A: We have to find area of shaded region.  That is, area between the curve (y = x3 - 15x )  And line (y...

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

A:

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS =

A:

Q: x* + 11 Generate the graph of y = f(x) and use the graph to make rough estimates of the coordinates ...

A: We observe from the graph of function

Q: /(cos0 + tan@) de cos?0 - (sec@ + tandsec²0) d0 A) True B False

A:

Q: If m and n are odd integers, then so is m · n.

A: We will use the definition of an odd integer to prove this statement.

Q: dx Evaluate: x²+ 8x + 20 x+4 A -1 tan +C B In (x²+ 8x + 20) c) None x+4 -1 D tan +C 2 x+4 E sin -1 +...

A:

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Question 3. The parametrized curve x = cos(t) – 5sin(t), %3D 101 y = -10cos(t)+ sin(t) is an ellipse...

A:

Q: Find the following limit algebraically if it exists. Write DNE if the limit does not exist. Show all...

A:

Q: Let f(x) = 11x²(x – 5) + 13. Find the critical points e that correspond to local minima. (Use symbol...

A: Let's find. 

Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

A:

Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

A:

Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: 16 where xis the number of units. A company's marginal cost function is C'(x) = Find the total cost ...

A:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A:

Q: Finda the area bounded by the given curves/lines. Sketch the graph of the curve and the plane region...

A:

Q: 3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, a...

A: As shown taking the horizontal stripe x changes from 1 to y2+1 because  y=x-1⇒y2=x-1⇒x=y2+1

Q: dx a) S 19-x²

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: (x +7)" 2" Vn² – 1 Consider the power series > n=2 -

A:

Q: / Determinel the Component of the Vector at each Point (州,) {0r0),(40), (-り),(り, (ー4) ニ (yーリー,12サ,(y...

A: Explanation of the answer is as follows

Q: Given the differential equation and its initial conditions y" - 4y' + 5y = 4 e" with y(0) = 2 and y'...

A:

Q: The sales, S. of a product have declined in recent years. There were 204 million sold in 1984 and 1....

A: The sales, S, of a product have declined in recent years. There were 204 million sold in 1984 and 1....

Q: age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end of ...

A:

Q: Let h(x) = /(t)dt, where f is the function whoseaph is shown. 1 4 6. -1 -2 A. Evaluate h(5) E. Evalu...

A: Given query is to find the Indicated values from the graph.

Q: Consider the following. y = 5x2 - 10x + 4 %3D

A: The given function,      y=5x2-10x+4

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

A: