Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = = fyy(x, y) = d

Q: Find the numerical value of the sum below. 6 Σ(i² - i) = i=3 I-

A:

Q: Given u = 5i + 4j and v=4i - 3j, determine -9u — v.

A: Same cofficient addition and subtraction of two vector

Q: Find the following for p =, q =, and r =. Find -2p - r

A: Given that,    p = -7, -6  q= -1, -11, r= 0,9 we have to find the value of -2p-r.

Q: 59. Yn n en +(-3)" 5n

A:

Q: A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal.…

A:

Q: Find the component form of vector with initial point (-6, 2) and terminal point (7, -3). O v = (-8,…

A:

Q: Find the most general antiderivative of the function. antiderivative.) F(x) = f(x): = 2x4 + 6x³ +³ -…

A: To find the most general anti-derivative of the following function. fx=2x4+6x3-xx3, x>0

Q: 10) Write an integral function that represents the velocity of an object at any time t given the…

A: The acceleration of the object at any time t is at Initial velocity is v1 To determine: An integral…

Q: QUESTION 4 Determine the number of triangles with the given parts. b= 10, a = 65°, y = 132° 0 1 2…

A:

Q: use the appropriate limit laws and theorems to determine the limit of the sequence or show that it…

A: We have to find if the given series converges or diverges. For this we will apply ratio test.

Q: Solve the differential equation. 5√xy dx = dy dx = 2, x, y>0

A:

Q: 63. bn = 3-4" 2+7.4" n

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ex-Y + 4, (3,…

A: Given plane z=ex−y+4   and (3,3,5)

Q: 2 X 2 [√³² L √ ² - ²³ √ x² + ²³² dy da dx 0 X

A: ∫0√2∫x4-x2x2+y2dydx

Q: Given v =, find a unit vector u in the same direction as v. 0 O 2√7 17 O 10' 10 7√2 O 10⁹ 10 Submit…

A: We are given vector v=1,-7.We need to find a vector u in the same direction as v.

Q: Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose…

A: We have to to Check the convergence of given series.

Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: Test the series below for convergence using the Ratio Test. 8 n+6 53n+4 n=1 The limit of the ratio…

A:

Q: Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

A:

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

A:

Q: 4) A region is bounded by the line x = -1, the line y = 2, and the curve y = 2*. Find the area of…

A:

Q: Using Double integrals in Polar Coordinates

A:

Q: 五 -3-2 5+ -5+ 1 3 6 A H

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

A:

Q: Consider the following vector function. r(t) = (8 sin(t), t, 8 cos(t)) (a) Find the unit tangent and…

A: To find unit tangent and unit normal vector and curvature. Given  r( t) =  { 8sin(t), t, 8cos(t) }

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: Find the general antiderivative. Use c as the constant of integration. x 9 dx

A: ∫exex+9dx

Q: Evaluate the integral. Jarctan arctan(3t) dt

A:

Q: The initial and terminal points of RS are given below. Write the vector as a linear combination of…

A: An object with both magnitude and direction is said to contain a vector. The movement of an object…

Q: and a tangent vector at point P. 2 166. (x² + y²)² = 9 (x² - y²), P(√2, 1)

A:

Q: Find equations of the normal and osculating planes of the curve of intersection of the parabolic…

A:

Q: Example 1: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: "Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 20. Practice similar Help me with this. Use the limit comparison test to determine whether For n ≥…

A: We have to to Check the convergence of given series.

Q: On a piece of paper sketch the graph of y = f(x + 5) and determine the new coordinates of points A,…

A:

Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy + 8y fxx (x,y)= 216x y y (X,Y)=…

A: To find the four second-order partial derivatives. fx, y=3x9y-5xy+8y

Q: The graphs of f(x) = x²-3x - 4 and g(x) = -2x - 2 intersect at the point (-1,0). The (acute) angle…

A:

Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: Find the anti-derivative of the func f(x) = = sin (₁+x) - Solve initial Value Problem f(x) = *+^, Y…

A:

Q: Use Part I of the Fundamental Theorem to compute the integral exactly. 1₁ (x + 8x)dx=

A:

Q: Find the total mass of a 1 meter rod whose linear density 17 function is p(x) kg/m for 0 ≤ x ≤ 1 (x…

A:

Q: Find the curvature of r(t) = (3t², In(t), t In(t)) at the point (3, 0, 0). K =

A:

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take the partial…

Q: (c) Now estimate the area under the graph of f using eight approximating rectangles and taking the…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

A:

Q: Use the following information for Problems 11-15: From its initial position of s(0) = -3, a particle…

A:

Q: Let g(x) = x² - 1x - 23. Find x such that (x, 7) is on the graph of f(x). Ox=-6 or 5 O x = -5 or 6 O…

A: The function is given by gx = x2-x-23 The point on the graph of the function is x, 7. To determine:…

Q: A function fhas a slant asymptote y = mx + b (m‡0) if lim [f(x) - mx + b] = 0 and/or lim [x)-mx + b]…

A:

Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

A:

Q: Find the fourth roots of +³ Write the roots in trigonometric form. ○ w₁ = cos(20°) + i sin(20°) w₂ =…

A:

Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1