1. (a) Evaluate: f sin?r cos'r dr. (b) Evaluate: (2 – |2|) dr.

Q: Using the triangle inequality, find the range of the function y = 2+4sin r.

A: Given: y=2+4sinx we know that  sinx∈-1,1

Q: Find sin a. (-3, 4) sin a = [? r

A:

Q: Evaluate f sin(5/z) -dr Select one: a. 금cos(5/z) + C b. 5 cos(5/a) + C – cos(5/x) + C C. d. cos(5/2)…

A:

Q: c) Si [V£ tan-1[VF ] + Jdx x+Vx²+3]

A:

Q: d) x=√3₁ It is given that sin x=- where x= [0,2], which quadrant(s) is x in?

A: We can answer both the question in the following steps.

Q: b. Express the function below as a sum or difference of sine and cosine. sin 4x cos 3x c. 1 Let f(r)…

A: we have to write the function as a sum or difference of sine and cosine. sin4xcos3x…

Q: 8. Evaluate: ſ V1– cosx dx A. V2 cosx + C c-2 sin를 + C B.-VZCOS를 +C D. -VZcos + C

A:

Q: 1 se a power series to approximate the definite integral dx to 6 decimal places. 1+x4 hter the first…

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

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: = Prove, for any angle x, Cos (sin¯' (x)) = /1 – x². %3|

A: Let sin-1x=θ Then, x=sinθ As sinθ=Perpenicular Hypotenuse=x1

Q: trig substitution

A:

Q: The force F (in pounds) on a person's back when he or she bends over at an angle e from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: Let V = (a) VV, sin cos I -. Determine: (b) VXVV, (c) V.VV

A: Given : V=sinθ cosϕr To Find : a ∇V     b ∇×∇V    c  ∇·∇V

Q: sinx.coshy+icosx.sinhy is analytic or not

A:

Q: Evaluate: [æ sin(x) da =

A:

Q: V+1 Differentiate f (x) = with respect to x AND SIMPLIFY. You must use quotient rule. (2x+1)*

A: Detailed solution is given below.

Q: Find the W (sinx,cosx , sec x).

A:

Q: (g) | sin? r cos" r dr. (h) / sin" z dr.

A: (g) Given- ∫sin2xcos3x dx To find- The value of the above integral. Formula Used- cos2x=1-sin2x

Q: -0.5 0.5+ -0.5+ r 0.5

A: Angle measured in clockwise direction is negative and angle measured in anti-clockwise direction is…

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate…

A:

Q: B. FIND THE FOLLOWING ANGLES, WHICH LIE BETWEEN O AND 90°: (d) Cos 1.000 (e) Tan 0.500 (f) Tan 8.500…

A:

Q: b) Use the Mean Value Theorem to show that sin x 0.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Calculate: cos(1+i). Sin CIti) tanciti) arin

A: We will find out the required values.

Q: Let t be the angle between 0 and such that sin t Then cos t sin(-t) cos(-t) tant =

A: Solution ) sin t = 1/4    t = sin-1(1/4)    t = 14.48 Cos (14.48) = 0.968 Sin(-t) = - sin t Sin (-t)…

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.