eт 3 cot (In x) dx 30. х e/4

Q: Find the indefinite integral. sinh(6 – 7x) dx

A: Consider the integral  ∫sinh(6-7x)dx

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: Find

A:

Q: d VE evedt dx d -S Intdt dx 1

A:

Q: sinh In(2+2x) dx? x+1

A:

Q: S cos*x sinx dx

A:

Q: dx х V1-4 ln?х

A:

Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: 1. S sinh ) dx 2. S sech? (x - ) dx 3. [6 cosh (- Inx )-) dx

A: Since you have posted multiple subparts question in this question so I have solved first question as…

Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

Q: A spherical balloon is deflating at a rate of 0.57 in /sec. How fast is the radius changing, in…

A: Let  The radius of the sphere is r. Volume of the sphere is  V=43πr3 Differentiate the volume with…

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: How many times will you perform integration by parts to evaluate sin(Inx)dx? A) 2 4

A:

Q: Find the indefinite integral ∫sinh 6x dx

A:

Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

A:

Q: (log a) dx 1+x²

A:

Q: 1. We are inflating a spherical balloon. At what rate is the volume of the balloon changing when the…

A: Since you have asked multiple question (1&2) we will solve the first question for you. . If you…

Q: hy's mea x) = eX

A:

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: valuate the definite integral: 1 (sec-1 x)² dx xVx² – 1 -

A: We  have to solve the improper integral

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: d 55. Vcosh x +1 (cosh x + 1)-/2 sinh x dx

A: Given The function is f(x)=cosh x +1 .

Q: Find the indefinite integral ∫sinh(1 − 2x) dx

A:

Q: A boy is blowing a spherical balloon at a rate of 50cm3/s. At what rate is the radius of the balloon…

A:

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: Find the indefinite integral. S sinh (1 – 2x) dx

A:

Q: Jrin m In(cos m) dm

A:

Q: sin“ (x)dx 4

A:

Q: 0 ex [ 224²1 ex + 1 J-In 2 dx

A:

Q: Find the length of y = ln (sec x) between x = 0 to x = π/4.

A: you meant to find the arc length of y=ln(secx). the formula for the length of the arc in the given…

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t=0 and…

A: Given: Length of the ladder against the wall is l is16 ft The distance between wall and the bottom…

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Given:- Rate of growth dNdt=kN N0= initial number of bacteria

Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using…

A:

Q: The air in a small room 12 ft by 8 ft by 8 ft is 5% carbon monoxide. Starting at t = 0, fresh air…

A: Let v(t) be the volume of CO in the room at time t, and let V be the total volume of the room.The…

Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: A man walks along a straight path at a speed of 4ft/s. A spotlight is located on the ground 20ft…

A:

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: 1 y = [cosh(2x)]°or¯*( cot-1 3 VX

A:

Q: QI: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given data: The given height of the cone is H=3 m. The given radius of the cone is R=1.2 m. The…

Q: Differentiate. y=de* +6 dx

A: Given y=ex+6

Q: The velocity of an object moving along a line is given by v1t2= 20 cos pt (in ft>s). What is the…

A: Consider the given velocity function as vt=20cospt

Q: Differentiate. y = In (7x + 8) In (8x + 5) dy dx II

A:

Q: Find dy/dx by implicit differentiation. 11 11 dy/dx = (Express your answer using positive exponents…

A: The given function is 11x3+11y3=7

Q: Integrate x?dx

A:

Q: A spherical balloon is being filled with air at the constant rate of 32n m³/seC. How fast is the…

A:

Q: ubstitution and by parts?

A: we have to integrate ∫cos(ln x)dx integration by substitution and by parts.

Q: Se Sin (3x) dx by Improper htegrations.

A: use improper integral

Q: I = Si S (x² + y³) dy dx.

A: