2. A curve is defined by f(x) = a√√x+b, where a and b are constants. the point (4, 6), determine the values of a and b.

Q: Find the integrals: 1- xdx A. -2/3 (1-x) 3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3 (1+x)…

A:

Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: We have given a vacation house is rented.  Let,  x represents numbers of days C(x) represents cost…

Q: Then (fofof)(x) = || (gogog)(x) = ((fog) - (gof))(x) = ((f+g) o (f-g))(x) = f(x)=2x-1 and g(x) = 3x…

A:

Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

A:

Q: Question 2 of 12 Your answer is partially correct. f'(x) = lim h→0 20 x3 Equation: y (b) Find the…

A:

Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

A:

Q: Let A = {1, 6, 9, 7, 5, 10) B=(3, 6, 7, 4} and U be the universal set of natural numbers less than…

A:

Q: Given f(x, y, z) = xyz, find fyyx

A:

Q: = f(x) to 3) Use the appropriate integral formula for the length of a curve represented by a…

A:

Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: 7. AT 0=1 n n + 1

A:

Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: lim ex-4 X→4

A: Using tabular methods to calculate the limit at x tending to 4.

Q: 2. Divide 20 into two parts. Find the two positive numbers if: (a) their product is a maximum; (b)…

A:

Q: Determine if the improper integral converges or diverges. 00 1 e2t + 8 S converges O diverges dt

A: Concept: Improper integral: An infinite limit of integration: If f(x) is continuous on [a,∞), then…

Q: Q4/ The region between the curve y=√x, 0≤x≤4, and the x-axis is revolved about the x-axis to…

A: We need to find volume.

Q: Solve the given differential equation (2x + 4y - 1) dx (x +2y-3) dy = 0 Ox-3y-In (x+2y-3) = C O 2…

A:

Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Value decreased by 8% let  A0=Initial value = 100A = final value = 20   Every year value decreased…

Q: Find the particular solution of the DE below. 3. 3 ln x - sec y dx − 5x sin² y dy = 0; y(e³) y(e³) =…

A:

Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

A:

Q: What volume of refrigerant should be recovered for disposal from an oldrefrigerator? The length of…

A: Consider a cylindrical pipe with diameter 14 inch and 15 feet of long. To calculate its volume.

Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: 29. Σ n=1 n In2 + 4η + 1

A:

Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

Q: (132) 3 WHAT DEGREE?

A:

Q: y" + 4y = sinx

A:

Q: Determine algebraically whether the function is even, odd, or neither even nor odd f(x) = - 0.72x^2…

A:

Q: 21. f(t) = 4t 10

A:

Q: 2 = (¹1);^ _'¹1 = (¹) ^ [1 − ₂*x + ²) + × ¹) = (x) ^

A:

Q: Say if it’s FUNCTION or NOT. Answer those 5

A: We need to determine given graphs are functions or not.

Q: Evaluate the integral: ³√✓/16 - 2²d. 3

A:

Q: 1. Graph the following function on the board: f(x)= 0 1+x 1-x 0 -∞0 < x < -1 -1<x<0 0≤x<+1 +1<x<+∞o

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Determine if the improper integral converges or diverges. 6- sin p 62 converges Odiverges do

A: We need to choose correct option.

Q: Evaluate f(3) and f(3.1) and use the results to approximate f '(3). (Round your answer to one…

A:

Q: lve I need a clear answer by hand, not by keyboard | dybala x-y d (b) = 21.

A:

Q: Prove that lim f(x)=36 if f(x)= x-6 x²x#6 5 x = 6 C For a function f(x) that is defined in an open…

A:

Q: Find the General Solution G.S. 1. (2xy - 3x²) dx + (x² + 2y)dy = 0 2. 6x + y²) dx + (2xy − 3y²)dy =…

A:

Q: Use the theorem given below to find the curvature of r(t) = tj + tk. k(t) = Theorem: The curvature…

A:

Q: f(x)=2x-1 9X+1

A:

Q: Which of these is true? Explain briefly. a. 316 b. 36=2 C. 613

A:

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: Find the surface area of the figure. 10 m 4 m m

A: SOLUTION-

Q: Draw the region of integration and reverse the order of integration to So evaluate the integral. 0 1…

A:

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

A:

Q: Let A = {7, 2, 6, 8, 3, 5} B = {4, 2, 8, 9} and U be the universal set of natural numbers less than…

A:

Q: 9. y = (1 + x²) Arctan x - 1 10. y = sin(Arccos x)

A:

Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)

A:

Q: It takes 15 min longer for John to wash clothes compared to his sister. If they work together, it…

A:

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

A:

Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

A: