4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: Find dy by implicit differentiation. dx sin(x² + y²) = xey

A:

Q: following •f(x) > 0, 1<x<2 • f'(x) < 0; -2<x<1 · f' (1) = 0 Given the sketch f(x)

A: Please see the below picture for detailed solution.

Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

A:

Q: The distance that an object falls varies directly as the square of the time it has been falling. An…

A: Given query is to find the distance fallen in 8 second.

Q: question is not answered

A:

Q: Let F = (2xy + z²x²,2xz) and let C be the circle r(t) = (5 sin t,3 sin t,6 cos t), for 0 st≤ 2.…

A:

Q: Consider the function f(x) = 5 - 3x², -5 ≤ x ≤ 2. The absolute maximum value is and this occurs at x…

A:

Q: Find the smallest positive root of the equation ex cos(x) 201 Correct to 4-decimal Places, take Xozl…

A:

Q: How much work is done lifting a 10 pound object from the ground to the top of a 25 foot building if…

A: Given :   Cable weight used 1.5 pounds per foot

Q: The graph of f' (not f) is given in the figure. At which of the marked values of x are the following…

A:

Q: 3 Find the derivative of: -10√x + x³ Type your answer without fractional or negative exponents. Use…

A: The answer is in step 2.

Q: Calculate the integral, if it converges. If it diverges, enter 1 ₂⁰¹9 dy = y²-9 diverges for your…

A:

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: x(t)=0.09+0.16(1-e-0.013t)(i) for initial condition put t=0

Q: QUESTION 1 If f(x) = 3x +5π, -T<x<T, Then the sum of the Fourier coefficients ao+b₁+ b₂ + b3 is…

A: Please see the below pictures for detailed solution.

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: To identify the slope of the tangent line, and to determine the  equation of the tangent line to the…

Q: Find u and v if u+4v = 4i - k and 6u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

A:

Q: If f(x)=x and g(x) = k -x are orthogonal over [0,4]. Then k = ..... 01 3 о ооо Pwlaw/co N/~ 04

A:

Q: 3. Differentiate the functions below. 5) y = (2x5 + 3)cos x²

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the following series. 00 n = 1 1 x0.6 Evaluate the following. [ Use the Integral Test to…

A: We want to find the convergence of the given series of using integral test.

Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 2t +9. (a) Find the velocity at…

A:

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

A:

Q: Evaluate each integral. fæcos x cos(5x) dx

A: Integration by parts rule

Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

A:

Q: Find exactly the vector oppositely directed to v = (6) and half the length of v. V i

A: v=6oppositely directed to v,(The angle between vectors with opposite direction is 180° and they are…

Q: Find the indefinite integral dx (3+5r)2 dx

A:

Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A: Green's Theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And use the equation of the line when it passes through…

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values…

A:

Q: Triangle ABC has vertices A(4, 7, 7), B(1, 6, 5), and C(–2, 9, 8). Which kind of triangle is ΔABC?…

A:

Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

A:

Q: Evaluate the improper integral or state that it is divergent. 20x 64+x² ㅇ둡 01 On+8

A:

Q: Find exactly the vector oppositely directed to v = (5) and half the length of v. i >

A: Given, Vector ,v = 5

Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's…

A:

Q: Use the graph of f '(x) below and the letters A, B, C, D, and E representing x values to answer the…

A: Use the concept of derivative, increasing and decreasing of any given function.

Q: 19. ſ² z² In z dz 0

A:

Q: Find the angle between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) (a) radians 0…

A:

Q: Consider the following. -x³ + 4, -x² + 4x, Find the critical numbers. (Hint: Check for…

A: We have to solve following sub parts.

Q: Determine convergence or divergence by any method. (-1)"n √n² +6 Σ n=0 The series diverges, since…

A:

Q: For the function h(x,y) = 3x + y xy-6 əh find and ax dh ду

A:

Q: Explain how you would prove if four given points are coplanar. Use the method you described to…

A:

Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

A: Given function is f(x,y)=axn+byn,  a,b≠0 and n≥2

Q: Evaluate the function at the indicated values. (If an answer is undefined answer UNDEFINED.) 3 - x 3…

A:

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

A:

Q: Find the tangentline and normal line for the point (-1, 0) for the curve given the function y3 cosh…

A:

Q: Evaluate: lim x ln x. x-0+ 0 O-1

A:

Q: √√3 9. ² 2 0 4x² (1-x²)z dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The family of functions is solution of the equation C = -2x y = ce + e y + 2y = e. Find the constant…

A:

Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.