5. tan x -V3,0

Q: Determine the open intervals on which the graph is concave upward or concave downward.  y = 9x − 7…

A: A graph is said to be concave up at a point if the tangent line to the graph at that point lies…

Q: 4 x c) limx→∞ x2+x-2 sin3x e) limx→o sin2x

A:

Q: Find [10] -t sin(v3t) е (а) L (b) L-- [tan-1 ))

A: We have to solve given problem:

Q: Approximate sin(179∘) by using a linear approximation of f(x)=sin(x) at x=π. Give your answer…

A: In order to solve the problems of this kind we need to use linear approximation formula and then…

Q: What is the y-value for the function y = tan x if x =- ? 117 4

A: Explanation of the answer is as follows

Q: 9. Interval 0 < x< T; function, f(x) = cos x COS X

A:

Q: Find a “nice" (i.e. algebraic) expression for tan(sec-1(t)) for negative t-values.

A: We have to find

Q: Estimate the error if P2(x) =1- is used to estimate the value of cos x at x = 0.2. |Error| <…

A: Given; P2(x)=1-x2/2.

Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: Suppose y = sin x. What is the x- value between 0 and that corresponds to a y-valué of ? 2 [?]

A: The objective of the question is determine the value of "x" where as y=1/2 in the given function…

Q: How many periods of the function y = tan x are there between -87 and 27? %3D

A:

Q: Solve the equation for x. arccos x = arcsec x

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: Find y' i. y = sin(2x² + tan(6x² – x)) ii. y = sin(2x² + tan(x – 1))

A:

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: sec" xtan y 4. For the function fS(x)-tanx, show that f*+y)-J69"-tanx tan y 5. For the function…

A: We use basic formula here, sin(x+y) = sinx cosy + cosx siny And Tan(x+y) = Tanx+ Tany/(1-Tanx.Tany)

Q: Q1-Solve the equation to find the value of x: tanhx = 0.5

A: The function tanh x is the hyperbolic tangent given by tanh x=ex-e-xex+e-x. Rewrite this function in…

Q: Differentiate. V = 3 - sec(x) tan(x)

A: The given function y is in the quotient form. Apply the quotient rule formula

Q: Evaluate f (2 cos x-sin x)² sin x

A:

Q: Select the function with the greatest period. Select one: O a. y sin 0.5(x - 90°) O b. y 3 sin (x +…

A: We have to select the function with the greatest period.

Q: Find an equation of the tangent line to y=10sin(x) at x=π / 6 (Use symbolic notation and fractions…

A:

Q: evaluate the integrals

A: Substitute x=cos θ⇒dx=-sin θ dθ

Q: 3 tan 2x + tan 2x 3

A: This is a simple question based on derivative which could be solved using chain rule and derivative…

Q: S 4 sec(x) tan(x) dx

A: We will use standard formula here

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)…

Q: 14) y = tan (x) b. a. 10- 10- -10- c. 10- 10- 10-

A:

Q: 9. Solve 4(sec² x)(3 – tan x)/2 dx by substitution. Remember that the first derivative of tan x is…

A:

Q: Differentiate. y = (4-sec x)/tan x

A: Distribute tan x.1/tanx= cot x and secx/tanx= cscx

Q: Find the values of x between 0 and a where the tangent line to the graph of y sin (x) cos (x) is…

A: Given

Q: 8x° valid to 3 decimal place: 3 For what range of x-values is tan (2x') 2x -

A:

Q: Evaluatelimx→0(sin x - tan x)/x3

A: Evaluate

Q: Differentiate.  y =(1 -sec x) / tan x

A: We have to differentiate the function: y=1-sec xtan x Simplifying the above expression using…

Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .

Q: -2 tan t X' = X + -1 1

A:

Q: 1-tanx If f (x) = f'C). then find 1+tanx

A:

Q: of y= sec(x*) . 4. Find 2xsec(x?)tan(x²) sec(2x) tan(2x) O sec(x³)tan(x²) 2sec(x)

A:

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √81.2 as follows: Let f(x)=√x. Find…

A: Given that f(x)=x. We need to find the approximate value of 81.2 and find the equation of the…

Q: Verify the identity

A: We have to prove

Q: tanh(x) = 3/5, find the values of the other hyperbolic functions at x.

A:

Q: 3 2): If sinh(x) ;find tanh(4x). 4

A:

Q: 1 f(0) = 4. f(6) for %3D f'(0) tan(20)

A: According to the guideline we should have been able to solve only one question at a time #4

Q: Find all the values of X if any for the tension line to the graph for the function is horizontal Y=…

A:

Q: Find all the relative extreme values in the domain of y = tan(x)

A: Find all the relative extreme values in the domain of y = tan(x)

Q: 3x? tan x If f(x) find sec x f'(x) = Find f'(3)

A: We have to solve

Q: y= Arccos(e2x)

A:

Q: If y = -sin x, what x-value corresponds to a y-value of 1 between 0 and 27? [? ]T

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find y' i.y = sin(2x² + tan(6x² – x)) ii.y = sin(2x² + tan(x – 1))

A: We have to differentiate the given functions