2 b.) f/dx x2 ول

Q: Evaluate the integral. T √³- 0 3- sin 10x 10 dx

A: I=∫0π3−sin⁡10x10dx

Q: x²-x-2 lim x→2x²+x-6

A: The given limit is

Q: 2. f(x) = x³ between x = 0 and x = 1.

A:

Q: Consider the initial value problem y" + 25y = 2 cos(5t), y(0) = 0, y (0) = 0. a. Take the Laplace…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 18.22 as follows: Let f(x) = x² and…

A: f(x)=x2, x=18Approximate 18.22.

Q: Solve the initial value problem: y'+4y= 0 y(3) = 100 y(t) =

A:

Q: Determine all critical points for the following function. f(x)=2x(4-x)³ X= (Use a comma to separate…

A:

Q: Which of the following functions are solutions of the differential equation y" + 4y' + 4y = 0? m=-2…

A:

Q: Find the most general antiderivative. √(0²³² + +1) C 61² dt 10

A: Given thatto find antiderivative of the functionusing the formula

Q: show all work

A:

Q: Find the following cardinalities: a. A when A= {5, 6, 7, 8, ..., 34}. b. A when A= {x € Z : −6 ≤ x ≤…

A:

Q: [ √ 3 z = 3 + 2x + y above the rectangle [0, 4] × [0, 2] Evaluate x²zdS, where S is the part of the…

A:

Q: Problem 4 Suppose that the utility function is U (x, y)= a lnz+biny, and that we have a standard…

A: Solution is following in step 2.

Q: n=1 2" 5 +10

A: The given series is .The objective is to find the convergence of the given series.

Q: Find

A:

Q: Find the gradient vector field of f(x,y)=ln(6x+y)

A: To find the gradient vector field of the function f(x,y)=ln⁡(6x+y), we need to compute the partial…

Q: Consider the function f: N→ N given recursively by f(0) = 1 and ƒ(n + 1) = 2 · ƒ(n). Find ƒ(12).

A:

Q: Suppose b [° F(X) f(x) dx = 6 and [(F (f(x))² dx = 11 Find the value of the following integral. b b…

A:

Q: Solve the following differential equations of

A:

Q: the area or the snade region r=1+cos 0 r = 3 cos 0 (9)

A: To find the area of the shaded region.

Q: f(x, y) = x3-12xy +8y3 f(2, 1)-8, relative minimum f(1, 2)=9, relative maximum f(2, 1) =-8, relative…

A:

Q: Solve the initial value problem: y'= -0.04y + 20 y(0) = 30 y(t) =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

A:

Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 70°, b = 11: LB is degrees; a= You…

A: By using the Law of Sines to solve the following triangle.

Q: 9 2 Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = + s² S-5 f(t) = C-¹…

A: To find the inverse Laplace transform  of the following function.

Q: Use the most efficient method to solve each equation. Leave your answer in simplest form. 14. 4x4 +…

A:

Q: use end behavior to compare the series to a p-series and predict whether the series converges or…

A: a) Summation of (n3+1)/(n4+2n3+2n), n from 1 to infinity.b) Summation of (n+4)/(n3+5n-3), n from 1…

Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 69°, b = 12: LB is degrees; a= C =…

A:

Q: Show the following example with different approaches: limx→0 (sin(2x) cos(x−2) )

A: To find :-

Q: Find the directional derivative of f(x, y) = -5T 7x + 2y at the point (4, 6) in the direction = rad…

A:

Q: solution to the Second Order = 3. The general differential equation By" - ay' is in the form y(x) =…

A: The general solution to the Second-order differential equation 3y′′=2y′ is in the form…

Q: Evaluate the following Riemann sum over interval [0,2] when f(x) = x(2-x). Use regular partitions…

A:

Q: The table given below shows the Consumer Price Index (CPI) for selected years. Use the regression…

A:

Q: Evaluate the sum 8 Σk(2k +3) = k=1 Σκ(2k + 3). k = 1 (Simplify your answer.)

A:

Q: Find the area of region enclosed by x = t-t², y= t – t³, 0≤t≤ 1 using Green's Theorem.

A:

Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 4.

A:

Q: homogenous Exercise: Solve the equation d³y d²+3d²+ +3 + y = 0 dy dx

A: The given differential equation is; d3y/dx3 + 3d2y/dx2 +3dy/dx +y=0

Q: Find the area of region enclosed by x = t-t², y=t- t¹, 0 ≤ t ≤ 1 using Green's Theorem.

A:

Q: s ›) decide which of the following are geo- metric series. For those which are, give the first term…

A: The given series are a) 5-10+20-40+80......

Q: use shifting and scaling to graph  f(x)=(x-2)^2+1

A:

Q: 1₂² x²z ds, where C is the line segment from (0,-3,1) to (5,-2,1) Find

A:

Q: of the integral (²2 - 1) ² (² + 1)² then which of the following is true for the seperation of this…

A:

Q: Given the values of the derivative f'(x) in the table and that f(0) = 175, estimate the values…

A:

Q: Evaluate Lyds, yds, C : x = t², y=t, −2≤t≤5

A:

Q: with implicit differentiation find what dy/dx expressed in x and y terms x2 - 4xy - y2 -8y = 7

A: Given thatusing formulas of differentiatingwhere  is a constant

Q: Consider the function f(x) = 2sin(x²) on the interval 0 ≤ x ≤ 3. (a) Find the exact value in the…

A:

Q: Given: (x is number of items) Demand function: d(x) = 4096 √x Supply function: s(x) = 4√√x Find the…

A: Given: ( x is number of items)Demand function: d(x)=4096xSupply function: s(x)=4x

Q: 3. For which x value(s) is ƒ(x) = = why. 10+ x x² -9 - 1 2x continuous? Explain

A: f(x)=10+xx2−9−12x

Q: What is the inflection point f(x) = 3x³+4x² + 2x+10. Inflection point (x, y) = ? of this cube:

A:

Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t) = L-¹ 6 s² +9 2s s²…

A: