Let z = ax'y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that dz (Р) — 24, dyz (P) = 36. dy? Determine the value of a: Determine the value of b:

Q: 1 Arc sin, xdx хах 2

A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

Q: Given a function f(x,y,z) = (x+9) In (7y - 2) sin (2z). Find the domain of the function. a. { (x,y,z...

A:

Q: S dx Evaluate: А. п B. VT c. VT3 в. D. еп A B C D

A:

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use symbol...

A: Topic:- application of derivatives

Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

A: Given query is to find the equation for g(x) for linear and exponential modal.

Q: Given f(x,y) = 3x sin(2xy).  Find fx(3,3). Give you answer correct to two decimal places.

A: The objective is to find fx(3,3).

Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D. (1/9...

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: Use Newton-Raphson Method to find the root of x2 + 7x – 10 = 0 with four-digit accuracy . How many f...

A: This is a problem related to numerical method. We will general formula for the method and solve the ...

Q: y³ Vy² + 4 dy Let u = y? 2

A:

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

A:

Q: 20. x4 - 2х2 + 4х +1 х3 — х2 — х + 1

A:

Q: a(t) =D 글 i+ j+ cott k. Find v(t) if

A:

Q: 2x-5 dx 73

A:

Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

A:

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

A:

Q: Solve for the Linear Differential Equation: y' - y = e^x

A:

Q: xdx Evaluate Vx-16 Vx2+16) +. Vx2-16 + C A. In In +C C. In In ) x-16 x--16 в. In In + C D. In In + C...

A: Given

Q: : Solve-Using D-operator dy dx + Зу - 5х — е t - 0 dt %3D dt dx dy +x + y-3 = 0 dt %3D dt

A:

Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

A:

Q: For the given functions, find the domain, range and sketch the graph: 1. y = (2 + 3x)/(x – 1) ------...

A: We have to find domain,range and graph

Q: The equation of the circle is X² +Y? = 11 what is the center of this circle (11,11) (2,0) 3 4 خيار 6...

A: Center of Circle Formula The center of circle formula is also known as the general equation of a ci...

Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

A:

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx F(b)-...

A:

Q: Let an​ be an arithmetic progression, for which a3​=13 and a11​=25. Find a7​

A:

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

A:

Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given b...

A: Daily cost for a manufacturer to produce x electronic video components is given by: Cx=1000ln2x2-800...

Q: 3n 2n n S " S"(sin x + cos y)e? dx dy dz 2n 'n A. 2n(e2n + e3™) в. 2п(е2т — езт) c. 2n(e3™ + e2") D....

A: Given: I=∫2π3π∫π2π∫0πsinx+cosyezdxdydz   We know that; ∫sinxdx=-cosx+C∫cosxdx=sinx+C∫exdx=ex+C And ∫...

Q: b): Evaluate each of the following limits: 1- cos* 3x 1)lim x→0 9x2

A:

Q: 3. Find the area of the region bounded by x = 3 – y and the line y = x - 1. Sketch the graph of the ...

A: Given: x=3-y2 & y=x-1   Now find the point of intersection between the given curve and line. y=3...

Q: Convert x² + y = 3 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation a...

A:

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Find the volume of the solid generated the area bounded by y = V, the x-axis and x 4, rotated about ...

A:

Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

Q: Express the following degrees to radian measure. 1) 75 2) 240 3) 340 4) 620

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

A:

Q: Given f(x) = -4x + 2 and x = 5r ln (2s). Find fr (5, 4). Give your answer correct to two decimal pla...

A:

Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n < 0 < n|

A:

Q: Evaluate the integral: ſ csc xv1 + 3cotx dx.

A:

Q: Evatuate the function at the given value of the independent vaniable. Simplity the results x) -- x) ...

A:

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

A:

Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years.

A:

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: 120 150 30 360 11 240 300

A: