Find the integral for positive integers m, n sin mx cos nx dx -T

Q: (B) Find the dimensions of a box with a square base with surface area 44 and the maximal Volume.…

A:

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

A:

Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=

A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.

Q: • Evaluate ¹ € (0+2) -doc

A:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x): |x-1| In its domain. a.…

A:

Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

A: This question can be solved using the concept of distance formula.

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

A:

Q: U 3 11 K A Find an equation of the tangent line to the curve at the given point. y = x In(x), (1, 0)…

A:

Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

A:

Q: luate the indefinite integral. /x0 dx x(ln (x))6 press numbers in exact form. Use symbolic notation…

A: Topic:- application of integration

Q: Solve the following equations for a a. az+b cx+d = A b. √₁+x+√₁+z=0 ar c. a²x² - 6² = 0

A:

Q: 2. Find the area bounded by curves: a. x = 1 - y² and y = -x - 1. b. x = 0 and x = 25 - y²

A:

Q: solve the following equation using Laplace transformation y' + y = sin(t) y(0) = 1

A: Given :y'+y=sin(t)y(0)=1

Q: f sec5 2 tdt

A: On solving this we will get

Q: Đi bỏ xes xdx = dx 2) √ √9+4x² = a) 6e5-1 25 ¹ (²3) + a) cosh-1 c b) 1+4e5 25 b) (4e5-1) 25 c). sinh…

A: Using following formulas

Q: If f(x, y) = 49 - 7x² - y², find fx(1,6) and f (1,6). Illustrate with either hand drawn sketches or…

A: Given problem:- If f(x, y) = 49 - 7x2 - y2 ,find fx(1, 6) and fy(1, 6). Illustrate with either hand…

Q: (3²+ 3a)dA, where D is the region in the 3rd quadrant between the circles 2² + y² = 1 and x² + y² =…

A:

Q: given two vector find  A x B = C  and Convert  to cylindrical coordinates

A:

Q: Trail Rev... = 360 cubic inches. olData Career... A box, with a square base is to have a volume of V…

A:

Q: Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

A:

Q: c) Converge by integral test Q.10) fxe-x dx = a) 6e-5-1 25 b) 1-6e-5 25 c)(4+1) 2$ -6e-s 25 d)-

A:

Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A:

Q: £₁₂ √x (4-x) elx

A:

Q: For the function f(x) = 3x² + 2x + 1, evaluate and simplify: f(x+h)-f(x) h Find the value of the…

A:

Q: 2 Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent…

A:

Q: 17. If a vector function v(t) = (t, ln t, t-²) is given for a scalar function Ø = x Inz + √y-cos(x +…

A: We have to determine the line integral.

Q: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

A: We need to find how many values of r exists.

Q: F. Which of the following functions is entire? For each, justify. 1. f (2) = 1 + 1²/²

A:

Q: 3. If the line through (-1,3) and (-3,-2) is perpendicular to the line through (-7,4) and (x,2),…

A:

Q: 14. √2-√x dx

A: SOLUTION-

Q: A 200-g sample of a radioctive substance is placed in a chamber to be tested. After 3 h, 140 g of…

A:

Q: (i) y2x4 JS(x+y²x² + y)dxdy y=x=0

A:

Q: (b) Given that (p(x,y)=xsin(y)+x²y, determine the following (i) F=Vo (ii) ² (iii) V.F (iv) VxF

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

A:

Q: 9. f √x³-1dx x

A:

Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of f at x…

A:

Q: ? Question Find the four distinct critical points of h(x, y) = x²y + xy² + x³y² + xy³. * Incorrect.…

A:

Q: ormation to answer the next question. The graph y = f(x) has undergone one reflection and one…

A: The given function y=f(x) undergoes 2 transformations to map the graph of y=f(x) on to the graph of…

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

A:

Q: B. Solve the following differential Equations y" - y' = 4x³ + 6x²

A: The given differential equation is  y'''-y'=4x3+6x2

Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: ← A3.LA.S21.pdf Linear Algebra Assignment # 03 Question 1 Write a balanced equation for the given…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Solve the following differential equations using any method: dy = tan-¹(x + y) dx

A:

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = Je d.A

A:

Q: Question 4 (a) An object is moving with position vector r(t) = cos(ot)i+sin(at)j + at³k. (i)…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: Let distance between A and B is x.