4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

Q: Let P= (4.-4). (a) Does P lie on the unit circle? (b) If so, find sin (8), cos (#), and tan (#)…

A: P = 32, -12 = (x, y)   Equation of circle: x2 + y2 = r2

Q: Graph the function. 10) y = sec (2x - )+ 2 A) B) 3n x 2 C) D) Зл х 2.

A: graph the function

Q: 5) Construct AD'E'F', the reflection of ADEF across line l. F.

A:

Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

A:

Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: Give the characteristic lines and hence the general solutions for: (a) u +5ug = 0 (b) ut ut - 4ux +…

A: The first order partial differential equation is given. Then to find the characteristic line we find…

Q: The point (-5,3) lies on the terminal arm. Determine the exact value of cos 0. Show all work.

A:

Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

A:

Q: Show that ePt cos qt and ePt sin qt are linearly independent.

A:

Q: I 10) Find the exact value of sec. 12

A:

Q: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

A:

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

Q: For the function f(x,y,z)=sin¯¹ (4xyz), find fx, fy, and f₂. fx= (Type an exact answer, using…

A: we know   d dx(sin-1x)=11-x2for  fx treat  y and z as constant∂constant ∂x=0fx=∂ ∂x(sin-1(4xyz))

Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

A:

Q: - IF z = tan2 -1 y Show that x- ây

A:

Q: 4. Evaluate tan (4.3 – j1.1).

A: Given that, evaluate tan (4.3 - j1.1).

Q: + y = 2. What is y" at the point (1, 1)? y ² Suppose that x +

A:

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: The figure shows graphs of f, f', f "', and f ""'. Identify each curve. ?v f f' f" ?v f ""' ?v a b c…

A: To identify each curve in the graph as f , f' , f'' , and f''' , we need to analyze the behavior of…

Q: Use the linearization of f(x) = sin x about an appropriate point Xo to approximate sin 610. Note…

A:

Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

Q: Use an appropriate form of the chain rule to find and if z = xe" , x = 2uv , ди y = sin(uv). You…

A: By using the definition of  chain rule for two independent variables we find the value of ∂z∂u, and…

Q: 2.5.21. Prove the following set identities. (a) (AnB)° = A°U B© (b) A\(BUC) = (A\ B) N (A\ C)

A: let x∈(A∩B)c ⇒x ∉ A∩B⇒x ∉ A or x∉ B⇒x ∈Ac  or x∈Bc⇒x∈Ac∪Bc⇒(A∩B)c⊆Ac∪Bc    ...(1)let x∈Ac∪Bc⇒x ∈Ac…

Q: 14. Evaluate cos 3x+ dx. 2

A:

Q: . Show all pertinent solutions. 8. y = arc sin(-) 9. y = arccos 0 10. y = tan'' (-1)

A:

Q: 3. Which of the following points would not lie on the line y=7? (1) (-2,7) (3) (0, 7) (2) (7,-1) (4)…

A:

Q: e" sin (5x) dr

A: I=∫exsin5x dx