find the equation of the line tangent to g(x)=x^2+x at (2,6).

Q: f'(s) = 10s - 12s³, ƒ(3) = 2

A: Find the particular solution for :

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: PLS ENSURE YOU GET RIGHT ANSWER AND DOUBLE CHECK AND Solve this based on only contexts from Natural…

A: dx25d25y​=sin(225π​+x)=cosxExplanation:Step 1:we have y=sinxdifferentiate…

Q: Which of the following statements are TRUE? Select all that apply. If F(x) is an antiderivative of f…

A: To determine the true statements.

Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: b) Solve sin(x) = −0.92 for all solutions on the interval 0≤x≤2π

A: The solutions are:x=4.3097 radx=5.1151 radExplanation:Kindly see attached photo for your guidance.

Q: (9) y 2*+2 4 15 (11) y: (

A:

Q: Can you solve y = ln(2x-3)  in a simple fashion?

A: The solution is x = (ey + 3)/2.Explanation:We solve y = ln(2x - 3) for x  by eliminating the…

Q: I need help with proving this identity

A: LHS=RHS Show in explanation section.Explanation:If you have any problem let me know here in comment…

Q: (a) Domain of f(x). (b) r-intercepts and y-intercepts. (c) Vertical asymptotes and holes. (d)…

A: Here we have given a function: .

Q: After 6 ​months, the total sales will be approximately how many​ DVD's?

A: a)To estimate DVD player sales over a 6-month period, we need to integrate the demand function over…

Q: Solve y''+3y' = 6-2e3x by undetermined coefficients.

A: The general solution to the differential equation y′′+3y′=6−2e3x by the method of undetermined…

Q: If secant alpha equals StartFraction 17 Over 8 EndFractionsecα=178​, 00less than<alphaαless…

A: The objective of this question is to find the exact values of sin(α/2), cos(α/2), and tan(α/2) given…

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: x+2 3 F) 2x-2

A: given equation

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: Calculate the volume under the elliptic paraboloid z = x² + 3y² and over the rectangle R = [-3,3] x…

A:

Q: Find the derivative. dy dx : if y(x) =√x2 + 8

A: The objective of the question is to find the derivative of the function y(x) = sqrt(x^2 + 8) with…

Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 4t+9. (a) Find the velocity at…

A:

Q: Find the area of a triangle PQR, where P = (-3, -3, 6), Q = (4, −2, −5), and R = (1,4,5)

A:

Q: An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the…

A: $716.43 per year $900.55 per yearExplanation:To find the instantaneous rate of change in the amount…

Q: A) an = 2n+1 B) an = 5n+8n 7n

A:

Q: Use Newton's method to find the critical numbers of the function  f(x) = x6 − x4 + 4x3 − 3x  correct…

A: The objective of this question is to find the critical numbers of the given function using Newton's…

Q: Determine whether the statement is true or false. True False If lim_a = an 0, then Σ a, is…

A:

Q: 1.) The three vertices of a regular tetrahedron are located at 0(0,0,0), A(0,1,0),B(3,0), and 03. A.…

A: Given:The three vertices of a regular tetrahedron are located at ; (a)To find:the unit vector…

Q: Find the length of the curve over the given interval. r=4(1+ cose), 0 ≤0≤2π Select one: ○ a. 32 O b.…

A: Summary:The correct option for the length of the curve over the given interval is (e.)…

Q: Evaluate the line integral foxy²²ds, where C is the line segment from (-1, -1, −1) to (1, 1, 1).

A: We have to calculate

Q: please help solve

A: The objective of the question is to find the value of the function y at x=3, given that y is a…

Q: Research Question: What is the effect of different teaching methods (lecture-based vs. interactive…

A: The objective of the question is to identify the independent variable in the given research…

Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: - - Let ã = 9i – 4j – 2k and b = −6i – 1j + 3k. Find a b • -

A:

Q: The graph of the derivative f' of a function f is shown. y=f'(x) (a) On what intervals is f…

A:

Q: PLS ENSURE ITS RIGHT ANSWER AND DOUBLE CHECK AND Solve this based on only contexts from Natural…

A: The equation of the tangent line is y−6x−2=0.Explanation:Steps and explanations are as follows:In…

Q: (d) Horizontal asymptotes. (e) Intervals where f is increasing and decreasing. (f) Local minima and…

A: Given: To Find: To determine the following: (d) Horizontal asymptotes(e) Intervals where f is…

Q: X * 0 1 2 3 4 n Process Write a function representing the values in the table. 9.72 8.748 7.8732

A:

Q: [1] Find the length of the curve y = In (cos x), 0 < x < π/6.

A: y= ln(cosx)we have to find length of curve from x= 0 to x= π/6

Q: Determine whether the statement is true or false. ○ True Falco If Σ an = = A and n = 1 n = 1 Σ bn =…

A: The given statement If

Q: Compute the value of the following improper integral.

A: Therefore, the required answer is ∫1∞​9x2e−x3dx=e3​=1.103638323514326964Explanation:Step 1:  Step 2:…

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: Compute the area of the surface obtained by rotating the curve, y = √√1 + 4x, 1 ≤ x ≤ 6, about the…

A:

Q: Find f'(x). f(x)=(8-5x)6

A: The objective of this question is to find the derivative of the function f(x) = (8 - 5x)^6. The…

Q: Simplify cos(4t) + cos(2t) sin(4t) + sin(2t) single trigonometric function. to an expression…

A:

Q: 1. Explain how you can solve the equation graphically, then provide the solution. Algebraic…

A:

Q: Find the exact length of the curve. x=e'−t, y=4e¹/2, 0≤t≤2

A:

Q: n Find the length of the curve = 3 over the interval 02π. Select one: a. 9π b. 2π C. TT d. 6π e. 3元

A: Length of the curve r = 3 is: 6π Option d. is correct.Explanation:Step 1:The arc length of a polar…

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Ans : Station  s is located 2.5km away from point c.Explanation:

Q: Let s(t)=4t to the thrid power+30t squared+72t be the equation of motion for a particle. Find a…

A: Part(a) :  v(t) = 12t2+60t+72 Part(b) :  t = -3 and t = -2 Part(c) :  a(t) = 24t+ 60Explanation:

Q: Solve for t, 0 < t < 2π 27 sin(t) cos(t) = -12 cos(t) t = Give your answers accurate to at least two…

A:

Q: U-2 1.Ify= andu = x² +1, find ddy U+2 Χ at x=1. dx dx

A: The required derivative is:dxd​(dxdy​)=(x2+3)324−24x2​ The value of the derivative when x = 1 is…

Q: Evaluate the iterated integral (4x+y)2 dydx

A: