20° 30° 100 lb

Q: Find f(x) if f(0) = 8 and the tangent line at (x, f(x)) has slope 9x. %3D f(x) = %3D

A: Given:  f(0)=8 and the tangent line (x,f(x)) has slope 9x  

Q: Find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal subinterval...

A: Consider the following: Length of each subinterval = 1−0n=1nxj=0+jnSo, reimann sum is:∑j=1nfxj1n=∑j=...

Q: CLX)= 300 + lox + 0.03x2 Determine the forowing: ) The expressian for the arerage cost per unit lx) ...

A: Given function is, C(x)=300+10x+0.03x2

Q: 6. Observe the following PacMan. Recall that the x and y coordinates of any point on the unit circle...

A: a)Describe PacMan (the set P) in Polar coordinates. Let (x,y) denotes cartesian coordinates of the p...

Q: (Type an exact answer, using radicals asn 3 csc 0 cot 0 d0 = 3n / 4 %3D 3 csc 0 cot 0 d0 3n / 4 Eval...

A:

Q: i need the answer and the steps as well please. i would like to know how you got the answer you got....

A:

Q: Simply

A: 7) Simplify the given expression as shown below: cosα·cscα·tanα=cosα·1sinα·tanα                     ...

Q: can someone help

A: We know that, sin-θ=-sinθ         ⋯⋯1sin90°+θ=cosθ           ⋯⋯2 We have, sin-105° By using the trig...

Q: thanks

A: To find the integral of the given function Given : A = B = C = 3  Area below the x- axis will be tak...

Q: i need the answer and the steps as well please. i would like to know how you got the answer you got....

A: Given,           2cos2x-5cosx+2=0  in the interval [0,2π)

Q: Find dy/dx. x = tsin(t), y = t2 + 7t

A:

Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain ...

Q: Only answer 6b please

A:

Q: What is g'(x) when g(x) = In (x³ + 3x2 + 5x + 6)? Select the correct answer below: 1 23+3x2+5x+6 3x2...

A:

Q: Only answer 7a please

A:

Q: Sketch the region enclosed by the given curves andfind its area.   y - cos πx    , y=4x2- 1

A: The given curves are y=cosπx   and  y=4x2-1. Sketch the region enclosed by the above curves as shown...

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5 x=y318+32ydxdy=3y218-32y2=3y4-2718...

Q: Use the graph of y = f(x) in the given figure to obtain each of the following graphs: a. g(x) = f(2x...

A: Given graph of f(x) is 

Q: luate the integral. -1 y6 -5y² dy y5 - 4 |

A:

Q: need help

A: here the given , ζ4=∑n=1∞1n4= π490      .............................(1) now we have to find part (a...

Q: Solve the following equations for a value of 0 in the first quadrant (if possible) (а) 5sin@ (b) 6сo...

A:

Q: State sales tax S is directly proportional to retail price p. An item that sells for 184 dollars has...

A: Given- Sales tax P=12.32 dollar, x1=184 dollar,x2=250 dollar To find- The function that models sales...

Q: Thorium-134 Thorium-234 is a radioactive isotope that decays at a rate proportional to the amount pr...

A: (a) The general solution is Qt=Q0ekt. Here Q is measured in grams and t in weeks. From given, Q(1)=0...

Q: Find the slope of the curve at the given point x? + y? = 1; (6, 2)

A: Differentiate both sides of the given equation with respect to x as shown below: ddxx2+y2=ddx1ddxx2+...

Q: Use known power series to write out the first 4 nonzero terms of the power series for a) f(r) = re 7...

A: Consider the following function: fx=xe3x Consider the following exponential series: ex=1+x1!+x22!+x3...

Q: Question 13 13 Given that 4c; = -96, find (2c; – 2) j=1 j=1

A:

Q: Determine the radius of convergence  and interval of convergence for the following power series.

A:

Q: Find the solution of the following initial value problem. 1 3 v'(x) = 8x° + 10x ; v(8) = 51, x> 0 %3...

A:

Q: Find the length of the curve r= e2θ, 0≤θ≤2

A:

Q: Practice Problems Law of Sines Directions: Use the Law of Sines to solve the following problems: sin...

A:

Q: What does it mean for a function ƒ(x, y) to have limit L as (x, y) → (x0 , y0)? What are the basic p...

A: What does it mean for a function ƒ(x, y) to have limit L as(x, y) → (x0 , y0)? What are the basic pr...

Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

A:

Q: Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically ...

A:

Q: Find the derivative. | 413 dt xp a. by evaluating the integral and differentiating the result. b. by...

A:

Q: i need the answer and the steps as well please. i would like to know how you got the answer you got....

A: sinα=35 and 90°<α<180° By using the identity sin2α+cos2α=1, we get ⇒352+cos2α=1⇒925+cos2α=1⇒co...

Q: (a) log, 2 = x X = (b) log4 x = 2 X =

A: Here definition of logarithm is to be used 

Q: Evaluate the integral. |(5x2 – 4x + 7) dx

A: First find the integral then substitute the limits.

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local min...

A:

Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

A:

Q: Find the area of the shaded region f(x)=x^4-4x^3+12x^2, g(x)=-3x+90

A: Given: find the area of the shaded region f(x)=x4 -4x3 + 12 x2 , g(x) = - 3x + 90      

Q: find the difference quotient of f(x)= cuberoot of x

A: We havefx=x3

Q: -0.02.x Find the absolute maximum value of f(x)=1000xe

A: Given,           fx=1000xe-0.02x

Q: Convert the point from spherical coordinates to rectangular coordinates. 9, Tt, 2 (х, у, 2) %3

A: There are three coordinate systems and one coordinate system can be converted to other using the var...

Q: Find the interval of convergence of the power series.

A: The given series is ∑n=1∞-1nxnn. Compare the above series with its standard form ∑n=1∞-1nan xn and o...

Q: For positive A and B, the force between two atoms is a function of the distance, r>0, between the...

A: Given function is, fr=-Ar2+Br3......(1) Substitute fr=0 -Ar2+Br3=0-Ar+Br3=0-Ar+B=0r=BA