Find the volume of solid generated by revolving the region bounded by g(x)=x²+2x+ 5about the x-axis. 72x unit ³ B) 56x unit 3 c 63л unit3 37x unit ³ f(x)=x² + 1and

Q: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

A:

Q: 4. f(x) √√3x52x + 7x² 18x-25 5. f(x) = (33x5-22)( 5x+13x4- 32x+51)

A:

Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

A:

Q: d S[e-In(2t+1)]dr. find g(x) - dx A e-In(2x+1) 2 B (2x + 1)² (2x + 1)² (2x+1)² If g(x) = D

A: We have to find out the derivative

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 43л A -unit 3 125 43л B 135 83ñ 125…

A:

Q: Evaluate the double integral: (3x2² +9y²) dxdy (A) 80 B) 40 Ⓒ30 (D) 60

A: To evaluate the double integral: ∫02∫0y3x2+9y2dx dy

Q: Which of the following can be determined given f(x) dx = 5₁ x) dx = 5,₁ ₁ g(x)dx=7, and h(x) dx = -5

A:

Q: Write an equation for the line through the point (1,3) parallel to the line y = x + 10. Oy=z O y =…

A: Given query is to find the Indicated line.

Q: Question 16 d If g(x) = == S[e²-In (21+1) ]dt, find g(x). dx 4 A et + (2x+1)2 e* -In(2x+1) 4 e¹+ (2x…

A: We will first find g(x).

Q: 3 Evaluate the triple integral: (x+y+z)dydxdz A) 12 B) 24 с 6 (D) 18

A:

Q: Solve the integral: A 5n/1+x²|+C 5 (B) 6in 5+x' 6In|5+ +C 음 m/1+x²|+c C ³√|+C 1+x √√√√x+x² dx D

A:

Q: Evaluate the improper integral (A) diverges B (Q) Na O ساح 3 1²23 -dx

A:

Q: A 60m climbing rope was used in a tall building. How much work is performed in pulling the rope up…

A: Force function need to be constructed and then work done is calculated.

Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

A:

Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

A:

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

Q: (a) Find the vertex and axis of symmetry of the quadratic functi or concave down. (c) Graph the…

A: we have to vertex and axis of symmetry

Q: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

A:

Q: Given the integral sec6 (x − 1) tan4 (x - 1)dx, which of the following equations will be useful for…

A: The given integral,       ∫sec6x-1tan4x-1dx

Q: Question 1 Solve the integral: Seln(2x²+3x-4)³ (4x+3)dx A eln(2x²+3x-4) (4x+3) 3(2x²+3x-4)…

A: To evaluate the given indefinite integral.

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Question 4 Which of the following is NOT a method for finding volume of solids of revolution? A…

A: Please see the below picture for detailed solution.

Q: Determine the case of the following proper rational function after simplification: X+2 (x²-4)(x³-8)…

A: Correct option is missing

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

A: We have to choose correct option

Q: x y 1 x 2 y' equal with x(5)=6

A: Given query is to find the solution of the differential equation.

Q: sinh x tex cosh x + ex In the indefinite Integral Sin(cosh x + ex)- sinh x tex A cosh x + ex sinh x…

A:

Q: Consider the vector field. F(x, y, z) = (9ex sin(y), 2e sin(z), 4e² sin(x)) (a) Find the curl of the…

A:

Q: Evaluate: A B С) D (x+1) log(x+1) 1 -In[log(x+1)] + C In 10 1 -In 10 log² (x + 1) + C 2 In 10…

A: Given problem:-

Q: Evaluate the following integrals using (a) Trapezoidal Rule and (b) Simpson Rule by finding such…

A:

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

A:

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

A:

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

A: topic- indefinite integral

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A:

Q: dx secx + 1 Transforming - -z² A 1+z² B z²+z 1-z² 1+z² Ⓒ 1- D √ -dz -dz -dz - 2z² 1+z² -dz using…

A: Here, the given integral is: I=∫dxsec…

Q: Use V=SSSDdV and the substitutions u = x/a, v = y/b, w = z/c to show that the volume of the…

A:

Q: X+2 Determine the case of the following proper rational function after simplification: (x2 -…

A:

Q: 10. Given the curve C defined by the vector-valued function r(t) = a) find an equation of the line…

A:

Q: --—-^[e'-In(2t+1)]dt, find g''(x) . dx -2 If g (x) = (A) (В Ce*- D 4 (2x + 1)² e* - In (2x + 1) 2…

A: We have to solve integral

Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1, 3 (A) Žunit² 1 -unit² -unit²…

A: We need to find area.

Q: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

A: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

A:

Q: Find the area enclosed by r² = 4 sin 20.

A:

Q: Why does dA/dt = 0?

A: Since area is constant therefore dA/dt=0

Q: Please write out/show work, thank you! Find the slope of the line tangent to 2xy + π sin y = 2π…

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 (e²-1)²…

A:

Q: d [e'- In (21+1)]dt, find g(x) . dx -2 A ex-In(2x+1) 2 B ex_ (2x + 1)2 4 C (2x + 1)² 4 D (2x + 1)²…

A:

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A:

Q: Evaluate the double integral: 4 LA LE 2ydydx

A: