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My Answers :

1:

a- x= 1/10 (9-√41) ≈0.259688,Or x=1/10 (9+√41)≈1.54031

b:y=0 Or y=7/3

c: didn't solve.

d: t= 1/3 log(5/2)≈0.30543

e::β=3/5 Or β=-3/5

2: didn't solve.

3:sin^-1(√5/4)≈0.59

tan (0.59)≈0.67

4: didn't solve

5:sin(α)+cos(α)=4/3

We solve the equation

α= 2tan^-1(1/7 (3-√2))〗

We calculate sin(2α)

sin(2α)=7/9

6:max{f(x)=x^3-5x^2-8x+12}=400/27 at x=-2/3

7:

a: 0

didn't solve b,c,d,e

8: The angle is 109.5 degrees

9:

a :: e^2x (6x^2+6x-sin(x)+2 cos(x)+10)

b: 6y log(5)

c: secθ

d: 800

e: z( log(z)-1)+constant

10 : didn't solve.

My Answers :

1:

a- x= 1/10 (9-√41) ≈0.259688,Or x=1/10 (9+√41)≈1.54031

b:y=0 Or y=7/3

c: didn't solve.

d: t= 1/3 log(5/2)≈0.30543

e::β=3/5 Or β=-3/5

2: didn't solve.

3:sin^-1(√5/4)≈0.59

tan (0.59)≈0.67

4: didn't solve

5:sin(α)+cos(α)=4/3

We solve the equation

α= 2tan^-1(1/7 (3-√2))〗

We calculate sin(2α)

sin(2α)=7/9

6:max{f(x)=x^3-5x^2-8x+12}=400/27 at x=-2/3

7:

a: 0

didn't solve b,c,d,e

8: The angle is 109.5 degrees

9:

a :: e^2x (6x^2+6x-sin(x)+2 cos(x)+10)

b: 6y log(5)

c: secθ

d: 800

e: z( log(z)-1)+constant

10 : didn't solve.