65. Find all points on the graph of the function f(x) = 2 sin x + sin²x at which the tangent line is horizontal.

Q: 2. Consider the curve defined by the equation y+sin y = x+. Find the equation of the tangent line to…

A: given y+siny=x+πequation of tangent line is y=mx+cwhere m is slope m=dydxd dx(sinx)=cosx

Q: Match the sequence with the given nth term with its graph. 10n n+ 1 an an 0.6 0.4 0.2 +++ -2 eBook -…

A: To match the sequence with the given nth term with its graph. an=10nn+1 an

Q: 3. Find the equation of the line tangent to the graph of the function g(x) = 2cos (x)sin (x) at the…

A: Given query is to find equation of the tangent line.

Q: Discontinuous, but continuous from the right, at 4

A: We need to choose correct option.

Q: Match the series with the graph of its sequence of partial sums. Σ(1) O Sn Sn 2 1- -1- 5- 3- 2 1- 0…

A: According to question,Given Sequence,∑n=0∞ 72-34n

Q: Solve the equation. dy 9x5 (7+ y²) 3 2 An implicit solution in the form F(x,y)= C is = C, where C is…

A:

Q: Let v = =(-4, 2, 3) Calculate: v xi= vx j = ( v x k = (

A:

Q: First order partial derivatives of a function of several variables Task: Find the value of the…

A:

Q: The general solution of (D4 -2D³ -5D² +6D)y=0is -3.x a. y=C₁e* +C₂e-³x + С₂е²x + C₂ 3.x -2.x c.…

A: Given : D4-2D3-5D2+6Dy=0

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y ܐ܀ + 1 1 2 6x…

A:

Q: If sin = 2√2 and is in Quadrant II, find tan (20). tan(20) - avo a= type your answer... type your…

A:

Q: Use the integral test to determine the convergence c divergence of the series k=1 7 4k+ 2

A: Given: ∑k=1∞ 74k+2

Q: Make a sign diagram for the derivative of the function. f(x) = x3 − 3x2 − 24x + 7 f '(x)      0…

A:

Q: 158. The position function s(t) = t³ - 8t gives the position in miles of a freight train where east…

A:

Q: Solve the problem. 9) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: The given graph is:

Q: dy Find when dx 4√x+2√y = 5. ۲۰۱

A:

Q: 2. Find the derivative of each of the following functions by first simplifying the logarithm a) a In…

A:

Q: - 13 dy Find for y = x(5x+3) dx

A: To find the derivative of given function

Q: Using the substitution u=4x−3�=4�−3, ∫x(4x−3)10ⅆx∫�(4�−3)10ⅆ� is equivalent to which of the…

A:

Q: A pulse laser operates by storing charge on a capacitor and releasing it suddenly when the laser is…

A: To fill in the blanks

Q: 6 5- cos²2y.siny dy

A:

Q: Determine y' when y = x-1/x 1. y' y (lnx + 1) 2. y'= -ry(2 ln x + 1) 3. y' ry(2]nr−1) 4. y = −…

A:

Q: 3 Assuming -x³+4y²-5xy = 0 defines y as a differentiable function of x, use the theorem dx 11 dy to…

A:

Q: cant even see the answers its cu

A: we can solve the given questions .

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g - h c) g.h d) Igl

A:

Q: fast

A:

Q: The demand for a new computer game can be modeled by p(x)=59.5-8 Inx, for 0≤x≤ 800, where p(x) is…

A:

Q: Determine the slope of the tangent to the curve f(x)=1/x at x = 2 using the first principle of…

A: Given function:- fx=1x

Q: Find the derivative of the following function. f(x) = 6x ln (3x² - 10)

A:

Q: Learning Target DA2: I can find the equation of the tangent line to a function at a point and use…

A: Given : r=4000 midr = 80 mi

Q: dw dw For the functions w = 5x² +4y², x= cost, and y=sint, express- as a function of t, both by…

A:

Q: dM 1. The rate at which a quantity M changes is given by = t² +7.If M(1) = 4, find M(t). dt

A:

Q: Differentiate the following function: y=2x^4+10/6x

A:

Q: Using implicit differentiation, find (dy/dx) −7x2y4−5xy2= 4−4x

A: Given query is to find the derivative.

Q: y = 413 – 4/t + - 10 t

A: Given query is to find derivative.

Q: If an A C D 8 1, for all positive integers n, what is the value of S₁, the nth partial sum of the…

A: Solution: The nth partial sum of the associated finite series is Sn=∑n=1∞an = a1+a2+a3+....+an

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

Q: 3 3. Find the value of the definite integral: So 2 7t² + 10t - 1 t3+3t²-t-3 dt

A:

Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: dy 9. Find dx by implicit differentiation given that 4xy = 5. Show all steps using the derivative…

A: given  4xy=5d dx(a.b)=adbdx+bdadxd dx(xn)=nxn-1d dx(constant)=0

Q: [s sin6y.cos²3y dy

A: To evaluate the given integral

Q: -5 -4 3 -2 -1 N TH 2 3 4 5 The function graphed above is decreasing on the interval <x< Enter an…

A: It is known that a function is said to be decreasing in an interval in which on increasing the value…

Q: Show

A:

Q: Find the derivative of H when and H(x) = (f(x))² – (g(x))² f'(x) = 8 g(x), g'(x) = 5 f(x). 1. H'(x)…

A:

Q: f(x) = x-a, x 1

A:

Q: neeeed helppp on question B

A: Topic:- calculus

Q: Consider the functions z = 5e* Iny, x= In (u cos v), and y = u sin v. dz (a) Express du dz ди and…

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A:

Q: DETAILS LARCALC11M 9.2.044. Consider the following repeating decimal. 0.218 (a) Write the repeating…

A:

Q: The graph of f is given. State the numbers at which f is not differentiable. (Enter your answers as…

A: Given: