sin dx

Q: Equations of tangent linesa. Find an equation of the line tangent to the following curves at thegive...

A: Given that: The equation of the curve is y = cosec x. and point x = π4 .  

Q: Compute the derivatives of the given function

A: Our Aim is to find the derivative of the following function given by:-g(x)=(x+x2) (x3+x+2) -(i)

Q: Use series to evaluate the limits

A:                                         Given: To find:  lim t→0  1- cos t - (t22)t4Formula:  cos t ...

Q: Car A is traveling west at 50 mih and car B is traveling north at60 mih. Both are headed for the i...

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at 6...

Q: In Exercises 4-15, find the minimum and maximum values of the functionsubject to the given constrain...

A: Consider the function fx,y=2x+3y with constraintsgx,y=x2+y2=4

Q: In Exercises 33–46, find the derivative.

A: Consider the given function as y=cos-1t-1-sec-1t Simplify as y=cos-11t-sec-1t Use the property of in...

Q: Radiometric dating Researchers determine that a fossilized bone has 30% of the C-14 of a live bone. ...

A: Formula for calculating the rate constant of a first order equation is given by - k = 0.6932t12Given...

Q: Determining when the ball hits the ground. Our function gives the height sof a ball at time t (in se...

A: The height of ball s is governed by following equation s = 64 - 16(t - 1)2  ft 

Q: 11. Let R be the region bounded by the graphs of the function 1 f(x) = the x-axis, and the lines x =...

A: Given function is : fx=y=1x2-1 An expression for volume of solid generated by revolving R about x-ax...

Q: Find the derivative

A:

Q: Question attached.

A: Consider the following equation: IL=I0100.1L Differentiate IL with respect to L: dILdL=ddLI0100.1L=l...

Q: Collinear points Determine the values of x and y such that the points (1, 2, 3), (4, 7, 1), and (x, ...

A: Given information: The points P(1, 2, 3), Q(4, 7, 1), and R(x, y, 2) are collinear. Calculation: The...

Q: Fill in the blank/s : 10i - (-4i) = ..............

A: Given: 10i--4i  

Q: The position function of a particle is given below. s(t) = t3 + 6t2 − 59t, t ≥ 0 When does the par...

A: Given,         The position function of a particle is given below :          st=t3+6t2-59t ,t≥0     ...

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a ration...

Q: If using the method of completing the square to solve the quadratic equation x2 + 15x +4 = 0, which ...

A: Given equation is, x2+15x+4=0

Q: State true or false  0 >= -6

A: To show: 0≥-6

Q: 5. Suppose that the function f has continuous first and second derivatives. The following table prov...

A: Consider the integral-∫13x(f''(x)) dx. Integrate using bypart formula- ∫udv=uv-∫vdu. Let u=x and dv=...

Q: Find the exact value of the expression cos2 15° - sin2 15°. Do not use a calculator.

A: Given expression: cos215∘-sin215∘ Recall Double-Angle formula cos2θ=cos2θ-sin2θ    

Q: Use the given graphs of f and g to evaluate each expression, or explain why it is undefined. (a) f(g...

A:

Q: Calculale He double Inlegrel: rsin ondr do 4.

A:

Q: webassign.net/web/Student/Assighment-Responses/submit?dep=25016790ottags=autosavenquestion470338 Nee...

A: the function given to us is  f(x)=x2-4xx2-16 we have to find the limit  limx→∞f(x)=limx→∞x2-4xx2-16

Q: Find ax ay2' axôy and дудх f(x, y) = x®y4 – ay? дхду дудх Evaluate them all at (1, -1) if possible. ...

A:

Q: Evaluate the integral.   ∫01 t cosh t dt

A: Given: ∫01tcoshtdt

Q: emergency !!

A: Since, it has been mentioned that a and L are real numbers and alsowe have been given that limx→∞(ax...

Q: What is the slope of the tangent line to the graph of y = cot /2z +lat the point where z = 0? Select...

A: Here we have to find the Slope of the tangent line to the graph of  y=cot-12x+1  at x=0

Q: Find the domain of the function : g(x) =3/(x - 4)

A: Consider the following function: gx=3x-4 Denominator of rational function cannot be zero. x-4≠0x≠4

Q: A tile maker makes triangular tiles for a mosaic. Two triangular tiles form a square. 3 in. What is ...

A:

Q: Find parametrizations for the lines in which the planes x - 2y + 4z = 2, x + y - 2z = 5

A: Given the planes :- x - 2y + 4z = 2,  x + y - 2z = 5   The Arbitrarily set z =1 and solve the result...

Q: Use the Divergence Test, the Integral Test, or the p-series test to determine whether the following ...

A: Given series, ∑k=1∞127k23  

Q: Suppose f is differentiable at (3, 4), V f(3, 4) = (-V3, 1), /V3 and u = Compute D„f(3, 4). 2

A: ∇f3, 4=-3, 1, u=32, -12

Q: A bacterial culture quadruples in size every 4 days. We began with 200 mg. How much culture will the...

A: Given: Initial size of bacterial culture is 200 mg. Since the culture quadruples in size every 4 d...

Q: If f(x) =3x2 -x3 ,find f ' (1) and use it to find an equation of the tangent line to the curve y= 3x...

A: Our Aim is to write an equation of tangent line to the curve y=3x2-x3 -(i) at the point (1,2).

Q: Scalar triple product Another operation with vectors is the scalar triple product, defined to be u ⋅...

A: Given that: The position vectors u = 3,1,0 , v = 2,4,1 and w = 1,1,5 .  

Q: COLOR THEME Q Q ZOOM 4. A person's life expectaiicy can be modeled by the function g(x) = 10.761 In(...

A:

Q: Find the derivative of the function f(x) = 3x−1

A:

Q: Match the sequence with the given nth term with its graph. an = 10 /(n + 1)

A: The Given sequence is an=10(n+1) the graph of an is  

Q: Solve the exponential equation 8x = 12,143. Where necessary, express the solution set in terms of na...

A: Given exponential equation, 8x=12143we have to solve the given exponential equation:

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: For the given function f(x) and values of L, c, and ε > 0 find the largest open interval about c ...

A: Given, f(x) = x |f(x) - L | <∈Let us plug given values of L and ∈ and f(x).| x-12| < 0.1

Q: Find the indefinite integral. sec 3x tan 3x dx

A: Given integral, ∫sec53x tan3x dx

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.