Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

Q: or the function f(x)=5(2)x−7, state its domain, range, and asymptote and then graph the function.…

A:

Q: Which of the following direction field will represent the differentia equation y = y + 1

A: To find which direction field will represent the given differential equation.

Q: Question For the following graph of a function, estimate the area under the curve on the interval…

A:

Q: Use the definition Prove that: d dz sin z = cos z The low f(z) = lim Δz→0 f(z+Az)-f(z) Az

A: Topic = Derivative

Q: For the function, locate any absolute extreme points over the given interval. g(x) = −3x2 + 14.9x −…

A:

Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. +57 +5 543-2…

A:

Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A:

Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

A: We need to determine equation of parabola.

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A: The given sequence an=6n+7n1n

Q: Solve this distance, rate, time application involving a rational equation: It takes the same amount…

A:

Q: The base of a three-dimensional figure is bound by the line x = 2y on the interval [0, 2]. Vertical…

A: Formula: If the area of the cross-sections of a solid at y is A(y) for a≤y≤b, then the volume of the…

Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) 80 Σ n = 1…

A:

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 8x³ +84x² + 240x. g'(x) =…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A:

Q: Find the exact solution for e^2x−3e^x−10=0.   If there is no solution, enter NA Enclose arguments…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A:

Q: lim I-4+ lim Х- 4 3x (x+4)8 3x (x + 4)8 II

A:

Q: Find by implicit differentiation, given that x²y — 8y8 = −1. Your answer could involve both & and y.…

A:

Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: 5 Solve tano = 28n0

A:

Q: dy Find for dx 1 y=-=-72-8√x x

A:

Q: x²+ 1 dx x² +4 S_x² + =

A: Given Problem:- ∫x2+1x2+4dx

Q: A company's marginal revenue function is MR = 150 - 12x1/3, where x is the number of units. Find the…

A: We have to slove above questions find R(x)=

Q: Tutorial Exercise Find lim Ax-0 f(x + Ax) = f(x) Ax f(x) = 3x²-3x Step 1 Find f(x + Ax) by…

A: We will find the required limit.

Q: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

A:

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² − 9y + 3? - Select…

A:

Q: Find the slope and y-Intercept (if possible) of the line. (If an answer is undefined, enter…

A:

Q: Find equations of all tangents to the parametric curve that pass through the point (4, 3). In…

A: We have to find the equation of tangent lines.

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx d²y/dx² = = x…

A:

Q: Use L'Hospital's Rule to find the limit. Also, state why we can use this rule. lim(42x)³ln (4 - 2x)…

A: Given;  Limx-2(4-2x) 3 ln(4-2x).

Q: Q5: A. By power series, solve the ODE y' - 2xy = 0.

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, to find the equation of the plane that passes through the point P14,-12,7 and contains the…

Q: Find r(t) u(t). . r(t) = (3t − 7)i + 1⁄t³j + 4k - u(t) = t²i – 8j + t³k 41² ( 1 – 4) r(t). u(t) = Is…

A:

Q: An oil refinery produces oil at a variable rate given by the following equation, where t is measured…

A:

Q: 38. 32 (-1)k k=0 (2k + 1)³

A:

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A:

Q: Evaluate the following limit using L'Hospital's rule. limx→∞ x2+3x+12 / 6ln(x3

A:

Q: Given: x³y - 3x2y" + 6xy' - 12y = 2x + Inx, write the transformed equation in z. A. (D³-6D2 +…

A: Let's transform equation in z.

Q: Find the composite functions (f g) and (gf). What is the domain of each composite function? (Enter…

A:

Q: Find both first partial derivatives. Lese fx(x, y) fy(x, y) f(x, y) = Com | Need Help? (5t +20) dt +…

A:

Q: Where does f(x)=- have a critical point, which is not an extremum? O O O x = -1 x=0 x = √√3 x = 1 x³…

A: From the above function , we get 3 critical points at X=0, -√3 and √3 and two point where function…

Q: Find the limit. (If an answer does not exist, enter DNE.) (x²+2x-8) Ilm x-2 (x²-4)

A:

Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: The sum of two positive numbers is 18. What is the smallest possible value of the sum of their…

A:

Q: find the derivative of the following using chain rule I need the solution since I got the answer…

A:

Q: If acceleration is a(t) = -3t² sin t, and v(1) = 10, write an integral function that could be used…

A:

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

A: Solution is given below:

Q: Use the function below to answer the following questions. y = log₂ (x-2)-4 (a) Use transformations…

A: