Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a = i+j+k NOTE: Enter the exact answer. Duf

Q: Find the values of x for which the function is continuous. f(x) 3x2 + 7 7 all x, x ± – 3 7 all x, x…

A:

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

A:

Q: 1) Column vectors vy and vz are given as n-) - --() 4 1 v1 =-1 and v2 = a) Find whether or not…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A:

Q: 9. Plot the following points in the polar coordinate plane. Label each point in the polar coordinate…

A: Graph attached below.

Q: Differentiate the function f(x) = 5x^4 - 10x^1/4  f'(x)

A: We can differentiate the function as below.

Q: Find the area enclosed by the curves f(x) = 32-x and g(x) =x. %3D %3D The area (rounded to two…

A:

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

A:

Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

Q: Suppose a person travels at a rate of 2 ft/hr toward the foot of a street lamp pole 62 ft high. The…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

A:

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

A:

Q: fy any asymptotes, ex

A:

Q: Find the radius of convergence, R, of the series. (x + 6)" 6" n = 1 R = Find the interval, I, of…

A: Consider the power series           ∑n=1 ∞ an(x-a)n then , series convergent if x-a<R , where , R…

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 27x² + 108x + 5 The…

A:

Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A:

Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: Derivative. The derivative of h(x) : 3+ e(4x2 + 5) is O none of the other answers -e(4x + 5)…

A: step 2 complete solution

Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

A:

Q: The table shows the marginal cost for a company's product at various production levels. Marginal…

A:

Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

A:

Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

A:

Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

A:

Q: Y1=25-82 = 25 – x², Y2 = 0 Y1 = Rotate @ y axis SHELL METHOD B V = 2 · T • (C·a - aº) · dE = G A…

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A:

Q: Question 12 Find the derivative. y = 126x A (72 In 12)126x B (12 In 6)126x (C) (72 In 6)126x D (6 In…

A:

Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

A:

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

A:

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: Integrate f(x,y) =x+y over the curve C: x² + y = 81 in the first quadrant from (9,0) to (0,9). %3D…

A:

Q: plz

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: For the function f(x, y) = 2x² – 3xy + 8y² + 2x – 4y + 4, find a tangent vector to the level curve…

A:

Q: (a) Find the numbers at which the following function y =f (x) is discontinuous. And at which of…

A: We have to find the continuity and discontinuity points. According to our guidelines we can solve…

Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

A:

Q: Determine whether the following statement is true or false. If f'(c) = 0, then f has a relative…

A: To determine true or false.

Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: Implicit Differentiation. The demand equation for a certain brand of two-way headphones is 2x3-6xy +…

A:

Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: Given the power series 2 5 A, x" n =0 Use the technique that we covered in this lesson to force the…

A:

Q: The hypotenuse of a right triangle is 45 in. The sum of the lengths of the legs is 9 in. Find the…

A: The hypotenuse of a right triangle is 45 in.The sum of the lengths of the legs is 9 in.

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: S(a – x)°dx

A: We need to integrate given function.

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Second Derivative Test. Consider the function f(x,y) = 2xy + 3ln(x) + 10y (a) The critical point of…

A: The given function,   f(x,y)=2xy+3ln(x)+10y

Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

A: