FIND y’’ OF y = square root of (x^2+1).

Q: ý + 3y = Sinx + 2 cos x

A:

Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) = 2.5x + 115…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is

Q: 2. y6y" + 8y' = 2x² cos3x

A: Solution: Given data, y"'-6y"+8y

Q: a can is kicked with an initial velocity of 17 feet per second at an angle of 28°

A: Given query is to find initial horizontal and vertical velocity.

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

A:

Q: Find the average value fave of the function f on the given interval. f(0) = 7 sec²(0/6), [0, 37] 2…

A:

Q: Find the value(s) of c which makes the equation true, or explain why it does not exist. 8 11 = 2(1 +…

A:

Q: 13. Find the domain, range, and right end behavior (xx) of each function below: (a) f(x) = -2(1.3)…

A: We know an exponential function is valid for all real number and it gives always positive real…

Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

A:

Q: 2) Evaluate surface z dv where E is the region enclosed by the Z = x² + y² and the plane Z = 1

A:

Q: need the stretching factor and asymptotes of the following p(x)=tan(x-Pi/3)

A:

Q: Determine the graph corresponding to the given vector equation. r(t) = (6t)i + (42-6t)j, 0≤t≤7…

A: Let's solve vector value function and integral.

Q: Rewrite each summation using the sigma notation. Do not evaluate the sums. a) 3+ 4+ 5+ . . . +93 +94…

A:

Q: Evaluate the integral of the following tabular data with the trapezoidal rule by-hand. X 0 2 F(X)…

A: To evaluate the value of integral.

Q: 22. If log(x) = -4, find the value of log(ar³).

A:

Q: (5) The marginal revenue, P'(x), for selling x units of a product is given by 40 e0.1x Find the…

A:

Q: 17. Find the vertical asymptote and horizontal intercept of f(t) = -log3 (t + 7) + 6.

A:

Q: f(u) -Using the u-substitution, u = x + 3, identify f such that the integral√x +3 dx, takes the form…

A: ∫xx+3dx

Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: Find the Maclaurin series of the function f(x) = 8x³ − 9x² - 4x +9. Determine the following…

A: We need to solve Maclaurin series.

Q: 5. Suppose that a cannonball is launched from ground level at an angle of 40° with an initial speed…

A:

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x +95 and the…

A:

Q: lim cos TX x→1

A: Given query is to find indicated limit.

Q: Solve the system for x: x+y+z=2 x-y + 3z = 8 5x+y+z=14 A B X = X = 12 1 18 3 5 141 11 1 1-13 51 1 11…

A:

Q: Consider the series n=1 an where an = √n +5(n+3)! en-7 In this problem you must attempt to use the…

A:

Q: Σ n=1 h + 1 2² η

A:

Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 8…

A: We have to find the maximum and minimum of given function.

Q: а. lim (x,y) + (0,0) 2х* - зу 사 + Ч А

A:

Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

A:

Q: In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.4…

A:

Q: 9.

A:

Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

A:

Q: Determine the 8-values for the points of intersection of the graphs of the polar curves r = 3 sin…

A: The given polar curves r=3sinθ+1 and r=sinθ. We have to find the point of intersection point of the…

Q: 19. Simplify the expression 52+log5 (2) completely.

A:

Q: Find the value of if the limit exists. 3x - 15 lim x+5√√x - √5 1. limit 8√5 2. limit 30 3. limit =…

A:

Q: Evaluate the integral. ['w² w² In(w) dw

A:

Q: [3] Verify the following. [² (x² (x2 + 2x) dx = lim n- 2 Σταχ i=1

A: The given integral is ∫25 x2+2xdx

Q: If cot(x)=8/11 (in Quadrant-I), find cos(2x) = ------ (Please enter answer accurate to 4 decimal…

A:

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A:

Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: b) Suppose that w = x2 + y² - z2 and_x = p sin + cos0, y = p sin ф sin 0 , z = p cos ф Əw aw find…

A:

Q: A rectangular storage area is to be constructed along a side of a building. A security fence is…

A:

Q: Simplify the following: (3q - q-¹)² a. -9q² - 6+q² b. 9q² + 6-q-² C. 9q² - 6+q-²

A: Given query is to simplify the expression.

Q: A contractor is building a multi-unit commercial building partitioned into five (par- allel)…

A: Given, Building is partitioned into five equally sized units each with area = 300m2 Exterior walls…

Q: (c) Is the graph symmetric with respect to the origin? Choose the correct answer b OA. Yes, because…

A: Solve by origin symmetry property

Q: Obtain in factored form of a linear differential equation with real, Constant coefficients that is…

A: Please see the below picture for detailed solution.

Q: 24. Let f(t) = log3 (9t) + 4 and g(t) = 3t. Simplify (fog)(t) completely.

A: