The importance of learning the basic concept of integral and its formulas are undeniable. In this portion of the unit, you will be required to state your arguments or synthesis relevant to the topics presented.

Q: 27 mg (b) Find the amount remaining after t days. y(t) = 216 e-0.1386xt mg (c) Estimate the amount…

A: Topic:- calculus   Note:- as per our guideline if more than three subparts need to be answered than…

Q: Solve using method of undetermind coefficient y"-3y'+2y=14sin2x-18cos2x

A: To find- Solve using the method of undetermined coefficient y'' - 3y' + 2y = 14sin2x - 18cos2x

Q: mmas: 5 4- 3 54 -3 -2 -1 2 1 7 -2 -3 بنا the equations of the ver 2 3 4

A: We know x=L is the vertical asymptote of a function y=f(x) if the limit of the function (one-sided)…

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: 10. lim x³ +5 3 X-∞ 2x

A:

Q: 1. Find partial derivatives of the functions c) f(r,s) = r ln(r² + s²) D) f(x, y) = tan(xy)

A: Explained below

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A. Complete the table below 1. 2x Given - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Let's solve.

Q: Which of the following differential equation is ordinary, linear, first degree, and the dependent…

A:

Q: Find the length of the curve x = 5-t, for 1 < t < 2. y = 3-t, z = 3t - 5,

A:

Q: Q2: Find dy/dx for the following functions:- (1)y=x'Inx (2) y = √sinh √tanx (3)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (i) x(³-5) dx + Solve the following p² In(x + 2) dy = 0

A:

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

A:

Q: if x = 0 11. f(x) = x - 1 if 0 < x < 1 In x if x = 1 et

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: 2 1 1 -1 -2 2 3 4 5 6 2 7 { a The graph above shows the base of an object. Compute the exact value…

A: Concept: The Area of the half disk is given by A=π2y2 The volume of the region is given by V=∫abAdx…

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

A:

Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

A:

Q: Só 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx+a=lnx+a+C

Q: Evaluate the foll 1. (عه - ی)

A:

Q: Find a parameterization for the curve shown in the figure below.

A: NOTE: Refresh your page if you can't see any equations. . the given points on the line are

Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

A:

Q: 1. Find if the function is continuous in the given points (sin(x+y) x+y 1 D) f(x, y) = x + y = 0…

A:

Q: 2. lim t-2 t²-7t+10 t-2

A:

Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

A:

Q: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

A:

Q: 3 2 + 1 -H 234 -5 2 3 V = 91 The graph above shows the base of an object. Compute the exact value of…

A:

Q: Obtain the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. 1. y(x) =…

A:

Q: Calculate C 4 (x+y+z

A:

Q: A. by extracting square roots. 1. x² = 169 2. 9b2 = 25 3. (3y 1)2 = 0 - 4. (x - 2)2 = 16 5.…

A: Let's solve.

Q: Iff (x) = f x² dx, what is f' (d)? Let a = 6 and d = 16.

A: Given that fx=∫axx2dx we have to find the value of f'd, for a=6 and d=16 use the formulas:…

Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

A:

Q: Find the equation of a line that passes through (-1,-3) and is perpendicular to y=-4x+2

A:

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

A:

Q: if f(x) = x² √In x² x . find the derivative of this function f'(x A. f'(x) = B. f'(x) = c. f'(x) =…

A:

Q: Consider the following function and graph. f(x) = sec A U 1 nin (a) lim f(x) X-2 TEX 4 (b) lim f(x)…

A: Given,

Q: 4) 10 x-31=-40 31 + 2x=46 깃

A: As per guidelines we can answer only one questions at a time, so if you need more answer kindly…

Q: Which of the following is/are signified by lim f(x) = ∞? x→a The limit exists and equals infinity.…

A: Concept: Limit of function: Consider the  function f(x). Let x have values that are close to the…

Q: this problem,  x = c1 cos(t) + c2 sin(t)  is a two-parameter family of solutions of the second-order…

A:

Q: Find the differential equations for each family of curves under the following conditions: c)…

A:

Q: fex cos (2x) dx

A:

Q: Find the length of the given curve: r(t) = (-3t, -5 sint, -5 cost) where -2 < t ≤ 2.

A:

Q: MOOrisdi MOO Tisdi scher 2. duty or gaiteanno f(x) + de eixe vilestion 29019 + 0 2 X 9709

A:

Q: if f(x) = x + 5*. find the derivative of this function f'( A. f'(x) = 5* In 5

A:

Q: X 4 4.9 4.99 5 5.01 5.1 6 f(x) 7 8.8 8.99 7 9.02 9.1 12

A:

Q: f f(x) = x²√Inx² x . find the derivative of this function f'(x) 1-In x² x²√√In x² A. f'(x) = B.…

A:

Q: The demand for a new computer game can be modeled by p(x) = 46.5-6 In x, for 0≤x≤ 800, where p(x) is…

A:

Q: 3. If the derivatives of h with respect to U; for h=²u

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

A: