Find 4-¹, if A = [3 3 O ] 3 -2 0 O [32] −3 0 - [²2] O −3 12 -=[ 132] -3-2 O 2 3 3 2

Q: Evaluate [C sin(x + y)dxdy. Answer: 0

A:

Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

A:

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

A:

Q: We can apply General Power Formula of Integration on which of the following integrals? A…

A:

Q: The length of a rectangle is given by 4t - 3 and its height is √21, where t is time in seconds and…

A: We know that area of a rectangle is defined as (length of rectangle)(Height of the rectangle)

Q: TL 2 Evaluate the integral: sin(3x)cos(3x)dx 3 1 A B C D H|m 3 16 1 3 16

A: To evaluate the integral. Option c is correct.

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: 1. Find the area under the curve y = x² from x = 1 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A:

Q: Q3/Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A:

Q: Which of these expressions represents the area between the curves y = x^2 and y = 6 - x from X = 0…

A:

Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: Find L(e³t cos 2t)

A:

Q: Find the area of shaded region. 1/4 sq. unit 1/2 sq. unit T/4 sq. units 1/2 sq. units j r² = sin 20

A: The shaded region is bounded by the polar curve r2=sin2θ in the first quadrant.

Q: MEAN VALUE THEOREM Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given…

A: Mean value theorem is valid.

Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

A:

Q: y = x²sin (3x)

A:

Q: L(sin 2t cos 2t) Your answer

A:

Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Let's find  initial population and after 10 year population.

Q: Evaluate: dx (x+1) log(x+1)

A:

Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

A:

Q: Which of the following can be determined given A √ ² (f(x) + g(x) + h(x)) dx 4 ® [ g(x) dx ©…

A: We have given the Integration values of function f(x),g(x) and h(x) on a certain interval. We want…

Q: Write TRUE or FALSE before each statement. Solve y + y = ry³. Statement 1. The integrating factor is…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x + 1 3 A 2-unit² 1 Ⓡ / unit²…

A:

Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

A:

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. A (e³-1)² e3 sq. units B (e³+ 1)² e3 (e²+ 1)²…

A:

Q: X √√//dx Solve the integral: A √x 3 B 3√√√x² +C Ⓒ6√√x +C 3√√x² D + C 6

A:

Q: Solve the integral: √√ 3√x dx x²

A:

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: Solve the integral: Seln(2x² + 3x −4)³ (4x + 3)dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

A:

Q: Evaluate: lim (1cosec²x + 2cosec²x + 3cosec²x + ... + n° x-0 +ncosec²x)sin²x

A: Given problem:-

Q: We can apply General Power Formula of Integration on which of the following integrals? @ /. A coshu…

A: we have to find the integral by general power formula

Q: (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: The given differential equation is: D3-5D+4y=0 when x=0, y=-2, y'=8, y''=0.

Q: Transforming dx using miscellaneous substitution will yield to secx + 1

A:

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: 3. The Critical Point of y = xe-*

A:

Q: = 4 R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

A:

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: Evaluate the integral: e3+ cosh2x33+ cosh2xsinh2x dx

A: We know that integration of ex is ex + c .     Here i attached the solution of this question.

Q: Find the domain of the vector function. (Enter your answer in interval notation.) t - 2 r(t) i +…

A:

Q: A colony of the bacteria B. dendroides is growing in a petri di area A (in square centimeters) can…

A: Here we have A colony of the bacteria B. dendroides is growing in a petri dish. The colony's area A…

Q: How far does the car travel during that time? * Onone of the choices O260.133 ft O 300 ft O258.133…

A:

Q: Using the method of variation of parameters, the form of a particular solution pof (D²+25)y=4x²-3e5x…

A:

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: y = Arctan (2x)

A:

Q: 1. ²₂(x² − 2xy² + y²³) dx dy

A: Solve the following integration .

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^3 – 2D + 4)y = 0 ; y = –2 , Dy = 8, D^2y = 0, when x =…

A:

Q: Initially 73 grams of radioactive substance was present. After 3 hours the mass had decreased by 6%.…

A:

Q: S Given 1 хр for which the improper integral converges? A {0,1} (B (1,00) C (-∞0,00) D (-∞,1] dx,…

A: The given improper integral is: ∫1∞1xpdx Suppose p=1 then: ∫1∞1xdx=ln x1∞=∞ So, diverges.