ขน lim (x,y) → (0,0) x² +10y²

Q: Use a double integral to find the volume of the indicated solid. X 6 N 2 40 30 20 10 z = 36- y² y =…

A:

Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

A:

Q: Evaluate the integral using the following values. 8 [³x x³ dx = 1,020, 2 [²x dx '8 8 L³x dx - 30,…

A:

Q: EX: Show that d² = 2πi where c is a unit § Z circle. C:1Z1 =1 Sol: ie Z= re io dzir e do 24 io ixe…

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A:

Q: Find curl(curl F) = x (V x F). F(x, y, z) = 4x³yzi + yj + 4zk

A:

Q: Consider the following function. 1 x² - 25 Complete the following table. (Round your answers to two…

A:

Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: NOTE: Refresh your page if you can't see any equations. .   width of the storage container is W=x…

Q: 6 4 If f(x) = 4+ + I I find f'(x).

A:

Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A:

Q: x5 + x4 (5x6 + 6x5)² J dx

A:

Q: need

A:

Q: Find dw/ds and aw/at using the appropriate chain rule. Evaluate each partial derivative at given…

A:

Q: Find the exact value of each expression:\\ (a) sin¯¹ (√3/2) \\ (b) cos¯¹(−1) \\ (a) \\ (b)

A:

Q: Use the indicated change of variables to evaluate the double integral. 56xy dA x = 1/2 (u + v) y =…

A:

Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

A:

Q: 8 26 Type your answer without fractional or negative exponents. Use sqrt(x) for √√T. Find the…

A:

Q: of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Find the function f(x) such that f'(x)=e^(3x)-6x+2 and f(0)=1. Thank you.

A: We need find the function f(x) such that f'(x)=e3x-6x+2 and f(0)=1

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given general solution of the equation y=C1e-4x+C2e-2x

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: = sin (5√) at the point (7²,0). Enclose numerators and denominators in parentheses. For example, (a…

A:

Q: 1. Determine whether the following series diverge or state that the Divergence Test is inconclusive.…

A: ∑k=0∞ kk+1

Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

A:

Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): lim(2x² – 3x).…

A:

Q: TT/4 0 tant di

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial…

A: Given: a(t)=7 sin(T) ,Initial velocity v(0)=-6m/s

Q: If F = Pi+Qj+ Rk, prove that div (curl F) = 0

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A:

Q: Evaluate the function at the given value of the independent variable. Simplify the results. f(x) =…

A: Evaluate the function at the given function of the independent variable.

Q: For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's…

A:

Q: - The equation of the sphere centered at C(h, k, l) and radius r is given by (x − h)² + (y − k)² +…

A: The given sphere equation x2+y2+z2-4x+2y+6z-11=0

Q: Use implicit differentiation to find dz/dx and dz/dy. X - z = arctan(yz) 218 дх 3: ду = = 1 22 yz +1…

A:

Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

A:

Q: 1 2 3 4 6 7 8. Use row reduction on 12, 9 10 11 your calculator or use RowReduce on Mathematica (or…

A: In this question we have to find the basis for the column Col(A).

Q: d) Consider f(t) = bt, where t&R and b ER such that 0 by [Select] e) 5 log25 k² = k where k denotes…

A: To label the following statements as T for true or F for false.d Consider ft=bt, where t∈R and b∈R…

Q: Find an equation for the graph above.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

A:

Q: Find curl(F x G) = V x (F x G). F(x, y, z)= i + 7xj + 6yk G(x, y, z) = xi - yj + zk

A:

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

A:

Q: Find by implicit differentiation, given that x²y – 4y5 = -8. Your answer could involve both x and y.…

A:

Q: Khalil's Babysitting Earnings Khalil charges a constant hourly rate. When he babysits What does the…

A: We have to find the function that represents the amount.

Q: Answer got marked wrong, please fix it.

A:

Q: Use cylindrical coordinates to find the mass of the solid Q of density p. ₂-(+² x² + y² ≤ 16, x ≥ 0,…

A:

Q: Sketch the graph of the equation by point plotting. ( y = x + 2 10 0

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: