x²-x-3yx+3y lim (x,y)-(3,1) x²-9y² This option

Q: Are there any points on the hyperboloid 22² + y² − 2² = (3) gent plane is parallel to the plane 22-…

A: Given    plane  2z=2x-3y2x-3y-2z=0   the direction ratios of the normal to the given plane : ( 2 ,…

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

A:

Q: You plan to build a cylindrical container with no top. The material used for the lateral sides costs…

A:

Q: X lim -In xx 4 lim x→0+ 5x – ln(x) 4x e ¹x 4 7 (1-1) lim x 0+ x - lim x→0 sin(5x) - 1 8 e2x - 1 lim…

A: there are seven indeterminate forms : 0/0, 0×∞, ∞/∞, ∞ −∞, ∞0, 00, 1∞

Q: Problem 1. Find the local maximum and minimum values (and their locations) and any saddle point (s)…

A:

Q: Use derivatives to find the absolute min and/or max for the function f(x) = sin(x) + cos(x) on the…

A: we have to find out the absolute minimum and maximum for the function on the interval [0, 2].

Q: What is lim q(x)? 8+←X q(x) = ln x²7 9x

A:

Q: Evaluate each of the following indefinite integrals.  ∫e2xsin3xdx

A: Answer is in step 2.

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: C 2. Determine à b, if |a| = 5 and |b| . = 17 ! 1 F1 Q a 30° F2 b W #3 3 80 F3 E St 4 000 000 F4 R %…

A:

Q: Find √ √₂ (4x + y)dA (4x + y)d.A where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} =

A: Double integration

Q: 2) Find the local maximum and minimum values and the saddle points of the inction f(x, y) = x² + y²¹…

A: Please see the below picture for detailed solution.

Q: 3. y = cos x - sinx, [0, 2л]

A:

Q: 6) f(x)=3 20 18 16 14 1 2 y х-2

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

Q: Problem 4. Find the directional derivative of f(x, y) = in the direction of a point Q(4,7).…

A:

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t²-6√t,…

A: v(t) = t2 - 6√t and s(4) = 8  We have to find s(t)

Q: So what happened to the 1/2 in front of the ln(x^2)

A: I understand what you are asking .

Q: Let E be the region bounded above by x² + y² +2²= 10², within a² + y² = 12, below by the xy plane.…

A:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = = t√ 64 -…

A:

Q: Consider the function g(x)=√x + x² where g'(x) = ¹ + 2x 3x3 a. Determine g'(x) b. Determine the…

A: The given function gx=x3+x2 and g'x=13x23+2x. We have to find the inflection points and the…

Q: n k=1 (3 + 2k)² = Hint: Start by multiplying out (3 + 2k)². fra

A:

Q: ← The half-life of a certain tranquilizer in the bloodstream is 31 hours. How long will it take for…

A:

Q: Find the area of the shaded region. y=0 square units y 9|2 9|2 y=x√√9-x² y=0 3 - X

A: Area

Q: Use Taylor series expansion of an appropriate function to prove the following equalities: (a) (b)…

A: The solution is shown below-

Q: The volume of a cone is 110 in ³. Find a function that models the height h of the cone in terms of…

A: the volume of the cone is 110in3. we have to find a function that models the height h of the cone in…

Q: (c) 1 So ²2-²32 3z ² dz.

A:

Q: Find f'(a). f(x)= 16+x-8x²

A:

Q: Find the area of the shaded region. 2+ y=x-

A:

Q: A financial manager has to invest $ 200000 in two options, one risky with a return of 20% and second…

A:

Q: Let D = a) Find D-1 b) Use D¹ to solve the following system. 064 - 1 3 1 - 4 1 1 a) D-1: -x + 3y -…

A:

Q: 7x f h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A: Please see the below picture for detailed solution.

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: Find the linear function with the following properties. Answer f(x) = f(0) = -6 Slope off = -4…

A:

Q: 4 The volume of a cantaloupe is approximated by V=3. The radius is growing at the rate of 0.5…

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

Q: Suppose that in the interval 15 ≤ x ≤ 20 you know that the graph of y = f(x) rises as you move from…

A: The given data is: y=f(x), 15≤x≤20 The graph of y=f(x) is concave down.

Q: Order the functions by growth rate. a(x) = 8x c(x) = ln(x) +20x² Select function > Select function ✓…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = x³ and y = x about…

A:

Q: 58. y = x³ - 24 ln x, [2,3]

A:

Q: Find the directional derivative of f(x, y) = x²y³ in the direction of the vector u = (3/5,4/5) at…

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Let dimension along side infinity wall = x let dimension along side other wall = y

Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: To find the maximum rate of change of f at the given point  and the direction in which it occurs.…

Q: 21. A plane contains the points P₁ (1, 2, 3), P₂ (4, 2, 9) and P3 (4, 4, 5). Give the explicit…

A:

Q: - Use your graphing calculator and explain  why these two inequality have not solutions.  a)…

A:

Q: Find a formula for the exponential function passing through the points and (3,24)

A:

Q: Consider the following. Find g'(x). g'(x) = g(x): = X In(x) In(x) - 1 In(x) ² 2.72 Solve g'(x) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: Use the graph of the function f(x) above to complete the following. f(2) is_ OA. Positive OB. Zero…

A: value of the function at x=2

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A: