Z ек у -4x Find any ду az ах

Q: If g (x): A d dx [e' — In(2t+1)]dt, find g''(x) - -2 4 (2x + 1)² 4 B (2x+1)² Ⓒe*-In(2x+1) 2 D (2x +…

A:

Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. lim…

A:

Q: If f(x) = A B tanx 1+e 1+1² 1+e¹ In (secx) √ 1+tan²x 1+ e tanx sec 3x tanx -dt, then f'(x) equals

A: solution:-f(x)=∫0tanx1+t21+etdtApplying leibniz integral…

Q: 5. Givenz уг у -4x , Find дz ду дz ?x

A:

Q: If a horizontal element is used to find the area bounded by y=√√√x, x=4 and the x-axis, the limits…

A:

Q: Transforming S Ⓒ √ 2²-22²2 =2 A -dz 1+z² z²+z B -dz 1- © S с © S D N dx using miscellaneous…

A:

Q: In the indefinite Integral in(cosh x + e*)- A In(cosh x + e*) B) sinh x + ex D In(cosh x + e*) sinh…

A:

Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

A:

Q: C) (-∞,1]

A:

Q: y = x²sin (3x)

A:

Q: The reverse order of 4 So Say ex² dxdy is equal to e-1 8e None of them

A:

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

A:

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

A:

Q: X+2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³ –…

A:

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

A: Given that,

Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

Q: Given A B C D f(x) dx = 0 and 11 6 0 ¹² f(x) dx = 11 6 I 11 5 55 6 evaluate S²3f(x) dx - ₁2f(x)dx.…

A: we have to find the integral

Q: If = (6,-5) and a = (-2,6), find |2c +3.5d|. O √146 O 16 O 2√73 O 5√11

A:

Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 Ⓡuni B 1 Ⓒ / unit² Ⓒ / unit² -unit²

A:

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

A:

Q: In the indefinite Integral in(cosh x + e*)- integrand? A sinh x + ex B In(cosh x + e*) In(cosh x +…

A: What is the integrand

Q: Evaluate the improper integral A 0 B 2 (C) с D) diverges 3 4 12330² dx

A:

Q: [² -dx, determine all value/values of P for which the improper integral Given converges? (A) {0,1}…

A: The integral is ∫1∞ 1xpdx

Q: Given the domain 9 = {(1, y) | − 4 ≤ x ≤ 4, - 4 ≤ y ≤ 4}:: D the double integral of f(x, y) = 1 over…

A:

Q: must

A: When a curve changes from concave down to concave up or concave up to concave down , that means…

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0)…

A:

Q: Determine the integral: x²cosxdx A x²sinx+2xcosx + 2 sinx + C B x²sinx-2xcosx-2sinx + C C)…

A:

Q: 2. Use the disk method to determine the volume of the solid obtained by the revolving the region…

A:

Q: 23/ Solve the following. Choose two only. 1. lim x lnx³ X-0 2. lim x sin(1/x) 848

A:

Q: Given the integral secº (x - 1) tan* (x − 1)dx, which of the following equations will be useful for…

A:

Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

A:

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

A:

Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

Q: ·S A B If D A (x+2)(x-1)² = √2 + x + 1 2 9 3 9 -la 1 I 2 93 1 9 2 9 3 . 2|3 B x-1 + C (x-1)2 (x -…

A:

Q: The length of a rectangle is given by 4t - 3 and its height is √27, where t is time in seconds and…

A:

Q: Suppose that it + [[ f(x, y)dA - 26 and ₂⁹(2, 3)dA R R (A) The value of [kf(x, y) + g(x, y)]dA is […

A:

Q: Given [ f(x) dx = 0 and 11 0 11 6 55 6 rwax = 11 6 " evaluate S злах-п -1 2f(x)dx

A: Given,∫-11f(x)dx=0,∫01f(x)dx=116,To find ∫013f(x)dx-∫-102f(x)dx

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A:

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Find the general solution of…

A: Let's solve given diffrential equation.

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: dx Transforming secx + 1 2-2z² A 1+z² ® √ ₁ + 2²/1d² +z² B -dz 1-z² z²+z C / 1-z² Ⓒ / 1-²/²0 D 1+z²…

A: To find the transformation of the integral ∫dxsec x+1 after using miscellaneous substitution.

Q: Numerical Integration: c2 S 1 √x 1. =dx

A: The integral is  ∫02 1xdx

Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 (A) -unit² B -unit² © == unit² C Ⓒ / / unit² D…

A: To find the area of  the bounded  region.

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ A infinitely many B may…

A: We have to choose correct option

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

A:

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

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: Find d2y/dx2 for y2 + 2y = 2x + 1

A: