12. Let F(x, y) = (sin(y)), and let P represent the path that goes in straight lines from (1, 0) to (л, e) to (e, -3) to (1,7). Find fpF. dr.

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation

Q: Find the x-intercept of the line x+3y-5=0 as a point O a. (0,5) O b. (5,0) O c. None O d. (0,5/3)

A: x intercept can be obtained by putting y=0 in the given equation.

Q: Find eqation of line through the point (4,2,1) and (0,4,2)

A:

Q: Find a and h such that f(a+h)-f(a)/ h is equal to the slope of the secant line. secant line between…

A: The objective of this question is to find the values of 'a' and 'h' such that the difference…

Q: -2+z) ds over t e point (0, 0, 0)

A:

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: SF. dr, where F (x, y) = (6x − 2y)i +x²7, Evaluate from (6,-3) to (0, 0). and C is the line segment

A:

Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

A:

Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: Two sharpshooters will simultaneously shoot once at a target. Let Xi , i = 1, 2, be marksman i's…

A: Given that, the errors are modelled by X1~N(0,0.5),X2~N(0,1). To solve this problem z table values…

Q: Find the equation of a line parallel to 2x+y-3-0 passing through (-2, 3). 2y + x + 1 = 0 none of…

A: As per guidelines i can only solve the first question in multiple questions.Finding the equation of…

Q: 8. Let a2 + xy³ + 2x = 11. Find y"(x) at the point (1, 2). %3D

A:

Q: Q6) Find the distance from the point S= (1, 2, 1) to the line x = 2 -t, y=-1 + 2t, and z= 2 + 2t.

A:

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A: