Q: 1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a triang...
A:
Q: Please solve it urgently. Thank you.
A:
Q: How long will it take for $1,000 to be worth $2,500 at 5% interest, if compounded continuously? Plea...
A: Given: P=$1000A=$2500r=5%=0.05
Q: Determine if the following function is continuous, removable discontinuous or jumped at x=a.
A: a). Given, fx=3x+1 ; x>55x-1x+1 ; x≤5 Now, limx→5-fx=limx→5-5x-1x+1=55-15+1=4 limx→5+fx=limx→5+...
Q: Use the method of Lagrange multipliers to find the maximum and minimum values of f (x,y)=x² +2y² +2x...
A: Given: The function, fx,y=x2+2y2+2x+3 subject to constraint x2+y2=4.
Q: For the following, let u = (3, –6) and v = (2, 1) %3D a. Find u + 3v b. Find the angle between the t...
A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...
Q: Find the derivative.
A:
Q: Express in terms of sums and differences of logarithms. 20 16 4 m log c 9 3 са
A:
Q: Use the reduction formula to integrate the following
A:
Q: Can I please get the solutions and the steps?
A:
Q: Question in image Thanks!
A: Given: (1) Any continuous function have global maxima and minima on every closed, bounded interval. ...
Q: Question in image Thanks!
A: 1) If f(x) is not continuous at x=a then we can have jump discontinuity. It is not necessarily a sha...
Q: What is the area of revolution obtained by revolving the rectangle 90° about the x-axis? a. 224(10°)...
A: Thus option (b) is correct.
Q: Find the equation of the tangent line to the graph ofx^2 * y^2 + 3xy =18 at the point (-2, 3)
A: The given curve is: x2+y2+3xy=18 Differentiating both sides of the equation with respect to 'x', we ...
Q: Find the partial fraction decomposition of x/ x^2+2x-3, showing each step.
A:
Q: 1 y Evaluate the double integral. SPe" dx dy 0 0
A:
Q: Find the angles on the given curve where the tangent line is horizontal. r = 2 + sin θ
A:
Q: solve. 3x/2=0.2
A:
Q: Using the definition of derivative, find the derivative of f(x)= /3-x
A:
Q: Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) = 2(...
A:
Q: Find the area of the region enclosed by the curves between their intersections. y =x and y = 2x The ...
A: The given region is y=x2 and y=2x
Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx
A:
Q: The marginal productive output of workers in a small manufacturing firm is given by MP = 8L – L2 + 2...
A: Given that marginal productive output of workers in a small manufacturing firm is given by MP=8L-L2+...
Q: 2. A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glas...
A: Given: A window is in the form of a rectangular surmounted by a semicircle.The rectangle is of clear...
Q: One rope pulls a barge directly east with a force of 78 newtons, and another rope pulls the barge d...
A: Given: Pull Force towards east is 78 N And towards north is 83 N To find magnitude of resultant for...
Q: Evaluate the definite integrals using properties of the definite integral and the fact that
A:
Q: 0.2 x3 dx 1 + x7
A: Given: ∫00.2x31+x7dx To find: The definite integral using a power series approximation.
Q: If f '(x) = x4, what is f(x)? (Use C for the constant of integration.)
A:
Q: Use rules of differentiation to calculate the derivative (with respect to x) of the given function. ...
A:
Q: 18 Sketch a graph of r = Use the graph to write a Cartesian equation for the 5+ 4 cos(0) conic.
A: Given equation, r=185+4 cosθ ...(1)
Q: 4. DETAILS Evaluate the indefinite integral. (Use C for the constant of integration.) sin (19z) J1+ ...
A:
Q: The two images for the same question
A: In the Question, In the first image, there is no specific f(x) function so we can't able to answer t...
Q: Find the radius of convergence and interval of convergence of the series.
A:
Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...
A:
Q: Find the center, foci, and vertices of the hyperbola, and sketch its graph using asymptotes as an ai...
A: 9x2-4y2+90x+8y+222=09x2+90x+-4y2+8y+222=09x2+10x-4y2-2y=-2229x2+10x+25-25-4y2-2y+1-1=-2229x2+10x+25-...
Q: Please explain ! (:
A: Consider the given function, fx=50-2x2 over the interval [0,7) the graph of the function over the in...
Q: Compute cos x dx. Cos cos a +C 3 sin a +C 3 sin r cos x +C 3 cos a + sin x +C 3 sin r + 3.
A:
Q: determine whether the sequence are convergent or divergent
A:
Q: dy du Find du dx and dx y = u³, u = 4x² – 1
A: Given, y=u3 , u=4x2-1
Q: Help please (:
A: Given: fx=4x-12; 2,6 To determine: The area between the x-axis and fx over the given interval.
Q: The altitude (in feet) attained by a model rocket t sec into flight is given by the function h(t). F...
A: Consider the provided function, ht=-13t3+4t2+20t+28 t≥0 Find the maximum altitude attained by the...
Q: Solve for x: log 4 (x² + 4x– 96)-log (x-8)=5 %3D
A:
Q: 2. Find the following limits. Do (a) and (b) without a calculator and (c) and (d) with a calculator ...
A: We have limx→0x-4x+4=limx→0x-4limx→0x+4=0-44=-42=-2
Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x +...
A:
Q: how to find area a
A: In Given Problem, we have to find Volume generated by rotating the y=x3, y=8, and x=0 about x=9 As ...
Step by step
Solved in 4 steps with 1 images
- Check uniquness and existance for fixed point whilef(x)=2+(x^2/3)with interval [2,3]continuous from attached image... ... to the graph of y2 - 3x + 2 = 0. (do not simplify or evaluate)Let f(x)=2x^2−5x+2 / 3x^2+11x+6This function has:1) A y-intercept at the point =2) x-intercepts at the point(s) =3) Vertical asymptotes at x = 4) Horizontal asymptote at y =
- Generate a continous and differentiable functiin f(x) with the following properties: f(x) is decreasing at x=-6, f(x) has a local minimum at x= -3, f(x) has a maximum at x= 3f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimumConsidere the function f(x)=3x4-5x3+2. Find all critical points of the function. b. Using the first derivativw test (showing your work), determine and indicate i. Interval(s) of increase ii. Interval(s) of decrease c. Based of the work above, characterize each of your critical points as a local maximum, local minimum, or neither.
- set up integrate along y-axis. bound by f(x)=x4 and g(x)= 16x-4x2. Draw approprate differental element on graph and lable all dimensions and features.Deduction of the second derivative criterion for optimization of functions <br> of two variables using and as related to TaylorTwo curves are orthogonal if their tangent lines areperpendicular at each point of intersection. Show that the givenfamilies of curves are orthogonal trajectories of each other,that is, every curve in one family is orthogonal to every curvein the other family. Sketch both families of curves on the same axes. x 2+ y 2= ax , x 2+ y 2 =by
- The tangent line to the graph of f(x) at x = 2 is shown. On the tangent line, P is the point of tangency and A is another point on the line. The x y-coordinate plane is given. There is 1 curve and 1 line on the graph. The curve enters the window in the second quadrant, goes down and right becoming less steep, passes through the point (−1, 2.5) crossing the line, crosses the y-axis at approximately y = 1.3, becomes nearly horizontal at the approximate point (1, 1.2), goes down and right becoming more steep, passes through the point (2, 1) touching the line, crosses the x-axis at approximately x = 2.9, and exits the window in the fourth quadrant. The line enters the window in the second quadrant, goes down and right, passes through the point (−1, 2.5) crossing the curve, crosses the y-axis at y = 2, passes through the point (2, 1) touching the curve, crosses the x-axis at x = 4, and exits the window in the fourth quadrant. Point P occurs at (2, 1). Point A occurs at (−2, 3). (a)…Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (If an answer does not exist, enter DNE.) f(x) = x2 − 2x − 5, [0, 1]Find all relative and absolute extrema for the function f(x)=2x3−6x2−18x−2, defined on the closed interval [−3,4]. Enter all points in the form of (x,y). If there are more than one points, enter them separated by a comma. relative minimum: relative maximum: absolute minimum: absolute maximum: