Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is.....

Q: Find  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = 6x3…

A:

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: se the isosceles right triangle and the 30°-60°-90° triangle to complete 45 r √2 - 45 60⁰ 30% √3

A: Part 1 :  For triangle                  For θ=30° It is right-angled triangle.…

Q: n (a) All the local maximum and minimum values of the function and the value of x at which each…

A: Given graph of a function f(x).

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A:

Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α v→=αu→

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

A:

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: Which number is equivalent to A 2 B 9 C D 81 729

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Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: Find the exact value of the expression for the given value of 0. Do not use a calculator. COS COS ()…

A: Given that  : theta= 7π/4 and we find the value of cos(theta/2).   We know that : cos(2π-x)= cos(x).…

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x,   y =…

A: Given :

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A:

Q: 2. Use the graph in Fig. 11 to determine the following limits. lim f (x) lim f(x) lim f (x) (b) lim…

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Q: 18. Use Cylindrical shells method to find the volume of the solid that results when the area of the…

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Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

A: Given fx=1-x2 width of the slice is h

Q: dz Consider the equation 5 sin (x + y) + 8 sin (x+z) + 2 sin (y + z)= 0. Find the values of and dx…

A:

Q: Find the projection uy = (x, y) of u = (6, -7) along v = (1,2). (Use symbolic notation and fractions…

A: Topic - Projection of vector Projection of vector u along v=u.vv2v

Q: Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a…

A: We have to solve question with concept of removable discontinuity

Q: y = √x y = x² 1. 0.8 0.6 0.4 0.2 0.2 y= √x 0.4 y=x² 0.6 0.8 1. 1.2 x

A: The equation of the curves are: C1: y = xC2:y = x2 Axis of Rotation: y-axis Formula Used: Washer…

Q: b) Calculate the following definite integral: [* (√x - 1) dx

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Q: (ρ(1) =? 2.0.602 (3×3!/4) =? (Gammafunction) 1. 1337

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 2. f(x) = 5-x², (3,-4)

A:

Q: A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt…

A: This question can be solved using the concept of linear differential equation.

Q: City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) =…

A:

Q: (a) If the point (1, 7) is on the graph of an even function, what other point must also be on the…

A: Topic- functions for even function if (x,y) is on the graph then (-x,y) is also on the graph for odd…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: Make a table of values for the equation. y = x² - 5 X -2 -1 0 1 2 у Sketch a graph of the equation.

A: The given equation y=x2-5 we have to sketch graph of the equation Note:    Multiple questions are…

Q: 65. Lim (1+h) ³-1³ ho h

A:

Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

A:

Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: Use a graphing calculator to graph the equation in the given viewing rectangle. [-50, 50] by [-0.2,…

A: Graph of the function is given as below,

Q: Find the set of all solutions of each of the following differential equations.  y" =32.

A:

Q: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: Find the differential equation for the given family . y ^ 2 = C * x ^ 4 - 2

A: The given  equation is; y2=Cx4-2.

Q: 3) Prove that : tan z = 올n(부를) In

A: To prove the given identity.

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

A:

Q: YA -3 x (a) If f is increasing on an interval, then the y-values of the points on the graph [rise…

A: Given graph of function is

Q: Find the domain of the function. (Enter your answer using interval notation.) G(x): 8x + x X Sketch…

A: Solution ) G(x) = (8x + |x| )/x G(x) = 8x/x + |x|/x  G(x) = 8 + |x|/x  If x = 0 G(x) = 8 + 0 = 0 If…

Q: Graph the solution of the system of inequaliti [x-y > 0 1 + y ≤ 2x

A: We can plot the graph as below.

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is The table for the function gx is