Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y², P(5, 12), v = 5i – 12j

Q: Find the most general antiderivatives. a. y' = 3x² - 4x + 7 b. c. f'(x) = sec² x + cos x + 5 g (x) =…

A:

Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

A:

Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

A:

Q: Find the Taylor series centered at c = -1. 342 3x – 2 f(x) = Identify the correct expansion. 4 Σ -(x…

A:

Q: 2x + 3y = 1, reduce this to the intercept form. Draw the line

A:

Q: Find a power series representation for the function and determine the radius of convergence. f(x) =…

A:

Q: The figure shows the power consumption in San Francisco for a day in September (P is measured in…

A: Here

Q: Consider the function f defined by the formula √ Aex-2 + cx - 3c if x 2. f(x) = = If A =19 and B =…

A: The function is given as , fx=Aex-2+cx-3c      if   x<2x3+cx2+B              if   x≥2 If A=19 and…

Q: x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and…

A: Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Q: Millo is purchasing a new refrigerator for $5700 using an in-store offer. The store is offering a 90…

A:

Q: (d) M8 n=5 6n 7n ||

A: In this question, we want to find the convergence of the series and it's sum.

Q: Find the component forms of v+w and v- w in 2-space, given that ㅠ ||v|| = 3, ||w|| = 7, v makes an…

A:

Q: Let an and Σ n=1 n=1 Do NOT assume the series are positive (they may or may not be positive). Which…

A:

Q: A group of engineers are building a parabolic satellite dish whose shape will be formed by rotating…

A:

Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

A:

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A:

Q: (See image. I only need question C answered, thanks!) A ball is dropped from a height of 8 feet and…

A: Solution to part c is added below as asked by the student.

Q: Use the table to evaluate the following limits: -6 -5.1 -5.01 f(x) -5 -500 -50000 -5.001 -5 -5000000…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (2,…

A:

Q: Find the critical point(s) of the function. f(x, y) = x³y + 12x² - 8y + 1 (Give your answer as a…

A: The second  derivative test for two variable functions: Let x1,y1 be the critical point of the…

Q: Write the exponential equation for the function going through the points (4,8) and (2,-6) and has a…

A:

Q: 25 X+5 В x С

A:

Q: For the function f(x)=3x³ - 2x²+2x+8, find f'(x). Then find f''(0) and f''(5). f''(x) = 0 www

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: Suppose that f is a function which is continuous and differentiable. Given that f'(x) ≤ 1 for all x…

A:

Q: Evaluate the double integral. 116 1x². + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

A: We have to evaluate the integral                                                    ∫∫Dx2+2ydA Where…

Q: 2 For the function f(x)=√x+25, find f''(x). Then find f''(0) and f''(3). f(x)=0 www

A:

Q: Estimate the value of each logarithm between two consecutive integers. Then use a calculator to…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: (15) 5.00 _d²_ dx x²+ 100 = 5.00 _d² + dx - 2 X +100 = lim 848 = lim 848 b = lim Sa dx + lim so dx…

A: Find the solution

Q: Find all asymptotes of the rational function    Q(x) = (x^2 - 1)/(x + 2)

A: According to question,Given Function,Q(x)=(x2-1)(x+2)

Q: Let f be a function defined as follows: f(x) = 2.3-2 if x 3. if x > 3. x-3 What type of…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A:

Q: lo A snowball, in the shape of radius of the show ball sphere is melting. When the 20 centimeters,…

A:

Q: Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use…

A: Calculation of above requirement are as follows

Q: Find the general solution for the differential equation bellow: y' + 3.5y = 2,8

A: Given: y'+3.5y=2.8

Q: Tell if the function f(x) = −2 sin (10x)−4 is increasing, constant, or decreasing at x = −(1/2) and…

A:

Q: 5+5x2 lim x→∞ (3+7x)

A: Here is the solution:

Q: For the function f(x)=3x² - 2x+7, find f''(x). Then find f’’(0) and f’’(8). f''(x)=(Simplify your…

A: See this solution in below.

Q: Use the form of the definite of the integral given in Theorem 4 to evaluate the integral. (You can…

A: Given: ∫153x2+7xdx

Q: Let R= [0, 1] x [0, 1]. Find the volume of the region above R and below the plane which passes…

A:

Q: Sketch the region of integration and change the order of integration. *3 /In(x) [³ /0 f(x, y) dy dx…

A:

Q: Consider the function f defined by the formula f(x) = { 2²³ +22² +7 9e²+3 +4x3 Choose the statement…

A: Concept if a function f( x ) is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x…

Q: (a) Find the sound level of a motorcycle if its intensity is 10 times the intensity of Io.

A:

Q: A replacement square tile for the space shuttle is measured at 4.17 cm along the side with an error…

A:

Q: Real Estate The following table shows the cost of 1,000 square feet of luxury real estate in three…

A:

Q: Find the mass of a ball of radius 4 if the mass density of the sphere is proportional to the square…

A: To find the mass of a ball of radius 4 if the mass density of the sphere is  proportional to the…

Q: Classify and solve the following ODE. Make sure to submit a clear, complete, and detailed solution.…

A:

Q: The graph of y=AsinBx has amplitude=​_______ and period=​_______.

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: Use spherical coordinates to integrate f(x, y, z)= 4(x2+y2+z2 over the solid E above the cone z=…