Start your trial now! First week only $4.99!*arrow_forward*

Question

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: If v(x)=f(x)/g(x), find v’(6)

A: Given, vx=fxgx The graph of functions f(x) and g(x) is shown as:

Q: Evaluate the following limit : tan(3x) lim x tan(x)

A: Click to see the answer

Q: . Collinear Points and Determinants (a) If three points lie on a line, what is the area of the "tria...

A: i-6,4, 2,10, 6,13=-64121016131=-610-13-42-6+126-60=-6-3-4-4+1-34=18+16-34=0All points are collinear

Q: Evaluate the following definite integral. Show all intermediate steps. ∫12 [ 2xe^(x^2+1) + (9x^2+1...

A: Explanation is given below...

Q: please see attached

A: Click to see the answer

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Given: D=x,y| 1≤x≤5, 1≤y≤4 ; ρx,y=ky2 Here, the objective is to find the mass and center of mass of ...

Q: Let f(x) = x³ + 3x2 + x + 3. Determine the points f where the tangent line is horizontal on

A: to find the points where the tangent line is horizontal we have to first derivate the function and p...

Q: Determine all values of x where the original function f(x) has a local relative maximum.

A: f(x) will have maxima if and only if f'(a-h)>0 and f'(a+h)<0.

Q: Зx2 — 1 Q7- Let f(x){ cx + d Vx + 8 if x 1 Determine e and d so that f is continuous everywhere (as ...

A: Click to see the answer

Q: I need help with (a) through (e)

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 + 3...

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by fx=62+...

Q: Please Find f'(x) USING THIS FORMULA f'(x)=c*f'(x)

A: Click to see the answer

Q: Iff(c) does not exist, can f(x) have an extremum at x-c? Justify your answer taking f(r) = 2| and c=...

A: To Determine: If f'(c) does not exist ,can f(xx) has an extremum at x=c?justify your answer taking...

Q: Use a graphing utility to graph the equation and show that the given line is an asymptote of the gra...

A: Given, Polar equation r=2-secθ and asymptote x=-1

Q: The parametric curve 7(t) = t2 i + (3 – t) j + et k as: 2t – 1+ e = 0 - = ť², y = 3 – t, z = et t? +...

A: Click to see the answer

Q: a) When is the particle at rest? b) During what time interval is the particle moving right? Left? c)...

A: (a) The particle is at rest when velocity is zero. And we know velocity V(t) is the derivative of po...

Q: 2. Let f(x) = S dt for x 2 2 In a) Find F'(x). b) Is F increasing or decreasing? What can you say ab...

A: Click to see the answer

Q: Environmental Concerns The spread of oil leaking from a tanker is in the shape of a circle. If the r...

A: radius of spread, r(t) = 200t A(t) = ? Area of a circle = πr2

Q: Find the curvature of the plane curve at the given value of the parameter. r(t) = ⟨5 cos t...

A: Formula: curvature k =r't×r''tr't3.

Q: sider a particie moving along tne x-axis vwne X(1) ation. A particle, initially at rest, moves along...

A: The acceleration of the the particle at time t>0 is a(t)=8cos(t)ddtv(t)=8cos(t) Integrate both si...

Q: Given the vectors: u = (-6,0,9), v = (7,-5,–1) and w = (1, 1,8), (a) Find the measure of the angle b...

A: Given vectors: u→=<-6,0,9>v→=<7,-5,-1>w→=<1,1,8> To measure the angle between v a...

Q: Find the increasing and decreasing intervals of the function f'(x)= -3/(x-1)2. Then find the local m...

A: f'x=-3x-12

Q: A lamina occupies the part of the disk x2+y2=1 in the first quadrant. Find its center of mass if the...

A: Given, A lamina occupies the part of the disk x2+y2=1 in the first quadrant and the density at any p...

Q: Use the graph shown below and identify points from A through I that satisfy the given conditions. 10...

A: Click to see the answer

Q: Lana drove from Iowa City to Smallville at a speed of 50 mph. On the way back, she drove at 75 mph....

A: Click to see the answer

Q: Rewrite sin (x+11π/6) in terms of sinx and cosx.

A: We have to rewrite the given expression in terms of sinx and cosx: sinx+11π6 Here, 11π6=12π-π6=12π6-...

Q: Show that f(x) = x – cos(x) has only 1 real zero on the interval [0, .

A: given fx=x-cosxx∈0,π2

Q: Evaluate the limit lim Be sure to clude correct notation for any indeterminant 1-sl In(x-7) x-8 form...

A: Let, L=limx→81lnx-7-1x-8 Used differentiation formulas, ddxxn=nxn-1ddxconstant=0ddxlnx=1xProduct rul...

Q: If x^2/36 + y^2/25 = 1 and y(1) = 4.93, find y’(1) by implicit differentiation.

A: Click to see the answer

Q: The monthly demand for a certain brand of perfume is given by the demand equation p = 100e−0.0001x ...

A: p=100e-0.0001x+75 a). Differentiating with respect to x, we get dpdx=ddx100e-0.0001x+75=100e-0.0001x...

Q: Solve Step 3

A: Answer is 192π.

Q: If x2 + y? = 36 and dx/dt = 3, find dyldt when y is positive and (a) x = 0: dyldt = (b) x = 1: dyldt...

A: Click to see the answer

Q: If f(x)=V3x , g(x)=x/5, and h(x)=6x-10, find formulas for the following : f. h(g(f(x)))

A: Click to see the answer

Q: Find the concave up and down intervals of the function f''(x)= 6/(x-1)3. Then identify any points of...

A: Click to see the answer

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'...

A: Consider the given vector: xt=t3−12t2+21t−7Differentiate w.r.t "t",Find velocity:vt=x't =3t2−24...

Q: 53-54 - Solving a Matrix Equation Solve the matrix equation by multiplying each side by the appropri...

A: 53. The matrix equation is 3-2-43xyzuvw=10-1213

Q: Consider the function f(x) = 5x³ – 3x on the interval [ – 4, 4]. Find the average or mean slope of t...

A: Click to see the answer

Q: 14. A ball is thrown across a playing field. Its path is given by the equation f(x)=-0.005x² +x +5 w...

A: The equation is given by y=-0.005x2+x+5 ⋯⋯1The above equation d...

Q: Solve the logarithmic equation. Be sure to reject as a solution any value that is not in the domain ...

A: 3logx=log64

Q: Draw the angle in standard position. State the quadrant in which the angle lies. Work the exercise w...

A: 5π3 The angle is,

Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the...

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached...

Q: Use Newton's method to approximate 9. Use x, =1.5 as the initial value and correct the approximated ...

A: let say x is a root of 95 , hencex = 95x5 = 9x5 - 9 = f(x)f(x) will approach zero, When x = 95

Q: Find the general solution of = 8e-4x %3D dx

A: Click to see the answer

Q: Use the Green’s Theorem area formula given above to find the areasof the regions enclosed by the cur...

A: The give curve is circle. The parametric form of circle is, r(t) = (a cost)i + (a sint)j. Here, x = ...