Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 S₁749 dx = x² +9

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim…

A: Given problem:-

Q: A bicycle with 20-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A: To find out angular speed and number of revolutions per minute.

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

A: Please refer to the image below

Q: Find the area of the surface obtained by rotating the given curve about the x-axis. Round your…

A:

Q: Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing,…

A: A function f (x) is increasing on the interval I if f'(x) >0 for x in I. A function f (x) is…

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

A:

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

A:

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: Using Simpson's method √x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A:

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 1-0…

A:

Q: ex = cosy

A:

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: Using Simpson's method Blank 1 Add your answer √xdx for n=4 is equal to Blank 1 (use 2 decimal…

A:

Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 13.1543 B) 13.1435 C)…

A: Given problem:- Find the area bounded by y=ex , y=ln(x) , x=e, the x-axis and the y-axis.

Q: Which of the symbols below denote the operation of antidifferentiation

A: We have to find symbol of antidifferentiation.

Q: √√7 - t³, cos t³) t³, c 3 R(t) = (sin t³,-

A:

Q: Find the moment of inertia: x = y +1; y = 1; y = 2; x = 0 about x-axis.

A:

Q: xdy = (5y + x + 1)dx Ans: y

A:

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: Find a system of linear equations corresponding to the augmented matrix. 505 65-5 069 x₁ + i x1+ X₁+…

A:

Q: Starts the domain, vertical asymptote, and end behavior of the function.  g(x) = ln(3x +21) + 1.5…

A:

Q: Given than f(x) dx = -5 and [² 1 (² A [² f (x) dx + ₁²5 (2²) dax = 0 f(x) ® √₁² f(x) dx = 8 B © f…

A:

Q: A payment of $1,900 is due in 3 years, and $3,800 is due in 5 years. What single payment made today…

A: We want to find the amount he want to pay now

Q: Given: vector-valued function R(t) whose derivative R' (t) = (4t, 6t, -12t) (b) Reparametrize R…

A: Let's reparameterize vector value function R(t).

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

A:

Q: To integrate 3x² e4² ΟΧ dx' we apply integration by parts and in the form u dv, u is set as:

A: ∫x3ex2dxTo do integration by parts we have to get it in the form ∫fg'

Q: (A) True B) False 3

A:

Q: For the given function f(x,y)=x²y³+3x³y, find a flax O 2xy³+9x² y O 3x²y²+3x³ O 6xy²+9x²

A: Given f(x,y)=x2y3+3x3y∂f∂x=∂∂xx2y3+3x3y

Q: xpand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

A: We  have simplify above questions

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: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

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: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

Q: I the slope of the tangent line to the parametric curve X = 3 cos (t) y = 2 sin(t) ㅠ R 4 at the…

A: Given query is to find the slope of the tangent.

Q: In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A:

Q: Convert the Cartesian coordinate (-5,-3) to polar coordinates, 0≤ r = 0 = Il

A: We have to find polar form

Q: 1+coshxsinhx+(sinhx)2 It is true that cosh x = Select one: True False Using Increasing/Decreasing…

A:

Q: Let r(t) = t - sin(t) and y(t) = 1- cos(t) All answers should be decimals rounded to 2 decimal…

A:

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

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

A: if the first derivative of function is positive, then the function is increasing.

Q: x4 +1 x³+9x -dx

A:

Q: Evaluate L L ³ xy² 1 3xy² dy dx.

A: SOLUTION-

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

A:

Q: Given than an f* f (x) dx = -4 and Ⓒ ²1 (2) dua - [² 31 (2) dir = A f 3f dx 22 B [₁ f (x) da = 6 0…

A: We have to find the integral

Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx