(5) a) Find the linear and quadratic approximations of sin(0.967) tan(0.26) + (0.96)²(0.26) b) Compare these approximations with the actual value.

Q: Find L-tan -¹ (7/²)

A: We are asked to find the inverse Laplace

Q: 3. Let h(0) be the height above ground (in feet) of a rider on a Ferris wheel at an angle 0 (in…

A: In order to solve this question we need to use trigonometry applications on ferris wheel.

Q: A -S (sec+ (x) tan6(x)) dx [Make sure final answer is written as a function of x] B. S*(sec*(x)…

A:

Q: Find the Cartesian equation of r2 sin(20) = 1.

A:

Q: Given

A: Here, we compare given f(x) to a sin(bx+c)+d

Q: (a)     ? = sin−1       (b)     ? = cos−1       (c)     ? = tan−1

A: asinθ=1215θ=sin-1(1215)θ=53.13ob)cosθ=915θ=cos-1(915)θ=53.13o

Q: (a) The difference in height between the points (0.9, sin 0.9) and (1.3, sin 1.3) (b) The slope of…

A: Given, The points (0.9, sin 0.9) and (1.3, sin 1.3)

Q: 3) Find the first and second derivative of each of the following functions. Write your answer with…

A:

Q: 1. Differentiate each function. (a) y = V6r* – 12 (b) g(x) = (cos 0 sin 0)ª (c) f(z)= sin°(3r) %3D

A: We have to differentiate

Q: (2) Let f(x) = -3 sin (r +). (c) And then determine the domain and range of f(x).

A:

Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

Q: find the the Y = tanx( =

A:

Q: Find the 1st Derivative. r=( 2 tan3θ -1)1/3

A:

Q: Solve the equation (tan x + 1)(sin x - 1) = 0 on the interval [0, 2π).

A: (tan x + 1)(sin x - 1) = 0

Q: The blood pressure (B) of an athlete is given by: B(t) = 20 sin [(8pi t)/3] + 90. If his blood…

A: According to question,Given equation,Bt = 20 sin 8πt3+90,

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

A:

Q: Find sin(a), given that cos(a) = 2/5 and sin(a) < 0.

A: As we know that, the trigonometric identity: sin2θ+cos2θ=1 Given: cosa=25

Q: The derivative of the product of the cube of the sine of theta and the square of the sine of theta…

A: Given: The derivative of the product of the cube of the sine of theta and the square of the sine of…

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 7, y = 9.…

A: First we shall solve the given trianlge. Now we shall find the third side using pythagorus theorem.…