for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у -3 5 - 14y + 3 5x - 2y -6 Partial Derivative for x = O 5 - 14y + 3 5 у- 14х+ 3 5 - 14y + 6

Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: - Solve the differential equation y-2y'+y e" In x

A:

Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: Identify the curve. x 2 + y 2 = 1 parabola circle point circle hyperbola ellipse

A:

Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a…

A: First find critical point then check where it is maximum and put value of critical point in…

Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

Q: a) [ Explain why the following series * (-1)" 00 Σ 1 + n5/2 n=1 is Alternating. b) ! : Use the…

A: Solve the following

Q: L, V4 – x²dx.

A:

Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

A:

Q: 12' >(- 1)"-'b. where b = n' 1=1 (n+2) 14"+3 a) Find and simplify bn+1 "q b) Test the given series…

A:

Q: e or sin 1 2 and tan 2 cos .2

A:

Q: -7 -3 A 87 23 Find the eigenvectors of the given matrix: -.1 1 1 i 3 - 15

A: Solution

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

A:

Q: - If v1, v2 are 2 vectors in a vector space V such that 0 = 4v1 – 2vz. Then{v1, v2 } are linearly…

A:

Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

A:

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

A:

Q: Solve for xx and yy the following system of simultaneous equations…

A: The given system of simultaneous equations,2ln(x)=ln(y)+ln(16)exey=e4

Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

A: Given query is to find the derivative of the expression.

Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

A:

Q: 2t dt 8. (1²+2)°

A:

Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: Choose the quadrant in which the terminal side of this standard position angle is located: 105.7°…

A:

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

A:

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

A:

Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

A:

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

A:

Q: Compute the given integral. fGz (6z - 5) (32- 5z + 2)"da | +C > Next Question

A: topic- indefinite integral

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: Find lim r0+ sin x 1- sin x 6. Find lim CSc x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: Find the domain and the vertical asymptotes, if any, of the following function x-9 x2+10x+21 ' a.…

A: Given

Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

A:

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

Q: Find The directed distance of The curve Lit Vittz

A:

Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

A: topic- matrix operations

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What are intervals of concavity of the function f(x) = 2x - 6x² – 3 ? Concave upward on (1, o) and…

A:

Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: Make a sketch of the following vector field. F= (5e%,0) Choose the correct vector field below. O A.…

A: We need to draw vector field.

Q: What will the domain be, could you state the domain?

A:

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.