Using the method mentioned in Item #7, find the volume of the solid generated by 3 revolving the R bounded by y = , y = 0, x = 0 and x = 3 about the line y = 4. 1+x

Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

A:

Q: A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 20 meter…

A:

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A:

Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: Using Trapezoidal method spaces) 1 2 dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Given problem:-

Q: Which of the following is not true? Ⓒ √ 4dx √x(x+6) c lim dx ⒸS₁² 25² + x² ² m 25-x2 B dx c-5-0…

A:

Q: 4. fx√x - 3 dx

A:

Q: A B D 0 Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv = dx, the integral can be…

A: We have to above question

Q: Find the area of the surface generated by revolving x=√(8y-y2) on the interval 2≤y≤5 about the…

A:

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

Q: The rational expression A TRUE B FALSE 1 (9x² +16)² can still be decomposed.

A: this can not be decomposed. This statement is false.

Q: THE AREA BOUNDED BY THE PARABOLA y² + x - 2y = 1, THE X-AXIS, AND THE REVOLVES ABOUT THE LINE LINE…

A:

Q: What is the domain of each part of the piecewise-defined function? (Enter your answers using…

A: Given that fx=-1.95x+25.90.535x2-1.58x+6.2Solution :Intersection point of piecewise-defined function…

Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

A:

Q: 5.12 7 ln 3x dx X

A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

Q: 3- Air at 25°C and 100 kPa at a relative humidity of 75 percent. The parti pressure of water vapour…

A:

Q: Given than •[²₁f (2) de = 7 and f (a) da = -5, which of the following is NOT TRUE 6 ® [₂ f(x) dx =…

A: We will solve the problem

Q: x6 cos(x³) A) True B) False |dx=0

A: We have to check by even or odd function

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: Trapezoidal method Quar x³dx for n=6 is equal to Blank 1 ("

A: Please refer to the image below

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: Iff is continuous on [a,b], and f(x) 20 then A True False ر VFX √f(x) dx = dx = √5 F(x f(x) dx

A:

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: Area A is bounded by the curves Y= X2 and Y=X2/2 + 2 a. Sketch area A and Determine the area of ​​A…

A: Let's solve for area and volume of given two curves.

Q: Consider a right triangle with a side of length a opposite angle A. a side of length y opposite…

A: Given:  A triangle ABC right angled at C sinB=13

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A:

Q: Let z(t) = 5 cos(t) and y(t) = 3.sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Given that,   xt=5.cost and yt=3.sint

Q: 5. Given that W 8.25 √y The value of x,y and z are measured with maximum percentage error of 1%, 2%…

A: Let's find maximum percentage error in w.

Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: As we know that; The trigonometric ratios;…

Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1

Q: 4 2 dx In evaluating √ √²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A:

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: 1 -dx= (A) True B) False m 100 8

A:

Q: problem. Check that the following Function is harmonic and determine it it is a harmonic Conjugate.…

A:

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Answer is following.

Q: Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A:

Q: - 2500q, what cost is incurred when marginal profit is $0? Given Cost and Revenue functions C(q)…

A: In this question, we need to find the cost when the marginal profit is $0.

Q: Integral of Exponential & Logarithr Determine the integral of the ff. functions. 1. - 20 e 4x dx 2.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Look for the smaller loop of the limacon r = a(1+2 cos 0) and solve for its area.

A:

Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: Find the exact solution for e^2x-6e^x-72=0  If there is no solution NA x=___

A: We have to find the exact solution for  e2x-6ex-72=0.

Q: 2-1 4s - 4 s² - 16/

A:

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

A: This question can be solved using the relation between second derivative and concavity of the…

Q: II. Find the sum of the following convergent series. lim = = = lim lim 0-2 1 [tan ² (2n-1) - tan²¹…

A: Given problem:-

Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: Are you sure its correct? Because the formula for infinite sum is different

A: The summation of 2n-1/3n+2, n from 4 to infinity.

Q: 2 ist dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Jo (x + 2)²…

A: Given,  ∫012x+22dx ,  n=4

Q: A bank has decided to set its interest rates to compound monthly on all deposits in order to give…

A: We know the compound interest formula:A=P1+rnntwhere A=Principal amount +interest Amount…