Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4 ), u = 6i + 8j

Q: to find Volume & Surface Area of a Cylinder?

A: answer of given question is in step 2

Q: Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) ...

A: f(x)=x3-21x2+72xFor critical pointDifferentiate the function f'(x)=3x2-(21×2x)+72f'(x)=3x2-42x+72Tak...

Q: 9x sin) C-8. Value of dx equals to sinx2)

A:

Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx (А) - sin +C 3 9- cot?x – sin cotx + 9- В - cotx + C - -...

A:

Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) [ ...

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

A: Given query is to find RMS.

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: 3. S cot° (3æ) csc* (3x)dx CSC

A:

Q: Consider the two functions fx) = 5x + 5 and g(x) = 5x - 5. a. Determine the instantaneous rate of ch...

A:

Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: 4. (2y cos x + sintx) dx sinx dy 5. y' = 1 + 3ytanx %3D

A:

Q: O Find Hhe lme qr=sin'o when the elpe 3.)

A:

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

A:

Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

A:

Q: 1. Fill in the following blanks for this function: y = - 4 cos 2x - 5 a)amplitude b) reflection c) p...

A: Given query is to find the Indicated points of the function.

Q: 3 sin°co dx COSCX)

A: Integration

Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

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

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

Q: Suppose that the following is true about the function f: 1. So f(x)dx 2 II. S f(x)dr = -1 II. f(x)dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

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

A:

Q: If y = csc² x+ 2 , then ſ y dx = cot x + 2x + c True O False

A:

Q: 5. Suppuze that.the..are..a.regian.is 2 SinG 3T/4 rdrd@..sketch. the.vego.and. T/4 find the.al.RMa.

A:

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth (p...

A: Given problem:- A rectangular package to be sent by a postal service can have a maximum combined len...

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

A:

Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: Examine the benefits and drawbacks of decomposition-based integration.

A:  

Q: The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to es...

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 w...

A:

Q: У7" — 1)" (10.х n=0

A:

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

A:

Q: 3 cos xy? O f(x,y)= Zsinxy Find fx fy and

A: On solving this we will get:-

Q: Let A = {1, 2, 3, 4}. Prove or disprove each of the following statements. If the statement is true, ...

A:

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...

Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the funct...

A:

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

A:

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

A:

Q: Find a general solution to the differential equation using the method of variation of parameters. y"...

A:

Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

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

A:

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

A:

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

A:

Q: 1. we have to evaluate the following integrals 4 dy de a. How did he get the value inside the circle...

A:

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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: Find the vectoy with the given magnitude and the same direction as u Magnitude Direction ||v|| = 4 u...

A:

Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize “-23

A: