4. Which of the following functions are divisible by (x - 4)? Show all your work. 3 a. f(x) = = X 2 - 7x + 12 4 b. g(x) = x² + 2x³ · 4x² + 10x - — c. h(x) = (− 2)x³ + 19x² 52x + 32 3x — 24

Q: ind the volume generated by revolving the area 1 unded by y = 2 x³ + 15x² + 56x Round the answer to…

A:

Q: 14) Find the first derivative of f(x) = 2*²2*

A:

Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

A:

Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…

A:

Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

A:

Q: Determine the remaining sides and angles of the triangle ABC. A 140° 40', C = 20° 20', AB = 3

A:

Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

A:

Q: 1. -5 cosh x 3 2+3sinh x dx

A:

Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

Q: q 0.2 0.4 0.6 h(q) 809 662 542 0.8 444 Estimate h' (0.6) using the table above. h' (0.6)≈ 545 Submit…

A: To estimate h'(0.6) we have to, 1. Find the slope from q=0.2 to 0.6 2. Find the slope from q=0.6 to…

Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

A:

Q: 8. Which of the series converge, and which diverge?: n+1 (2) Σ S 3 (c) 1 1 + ln²n (Inn)² n³ (d) n 1…

A: Disclaimer: Since you have posted multiple sub parts of question , we will solve first three sub…

Q: Problem 2. Let f(x) = 8x²8x4. Find the open intervals on which f is increasing (decreasing). Then…

A:

Q: Find the general solution of the differential equation. y (5) — 11y(4) + 29y" — 11y" + 28y' = 0.…

A:

Q: Σ k=1 3k! k Choose the correct answer below. A. The series converges absolutely. B. The series…

A: The given series is: ∑k=1∞3kk!kk Now, it is a positive term series. So, it is either absolutely…

Q: Fill in each blank with an angle between 0° and 360° such that sin 200° = sin and cos 200° = COS

A:

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

A:

Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

A:

Q: Solve the initial-value problem for x as a function of t. (2t³ − 2t² + t − 1) = 0 dx dt = 3, x(2) =

A:

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A:

Q: QUESTION 1 Consider f(x)=x²+2x+1. Which of the following is true? Of is continuous at all C; given…

A: Let's solve.

Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

A:

Q: y=x^3+5

A: Please refer to the image below

Q: Find the critical point. f(x)= 3ex - 12e-2x (Use symbolic notation and fractions where needed. Give…

A: topic - critical points of a function and local extremas

Q: For the function f(x)=e* + ex, prove that the arc length on any interval has the same value as the…

A:

Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: A = 21° 45', a = 9.5, b = 22 se 1: = ° (smaller B-value) Case 2: B = C = C = O X (larger B-value)

A: topic:- trigonometry ratio in triangle

Q: ponents [[(4}}]

A: We can solve the answer as below.

Q: 1) tan x Find the derivative of y= = e

A:

Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

A:

Q: Find the general solution of the differential equation y"+y = 3 sin(2t) + 2t cos(2t). NOTE: Use c₁…

A:

Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

A:

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A:

Q: M8 k=1 сos лk Let ak > 0 represent the magnitude of the terms of the given series. Identify and…

A:

Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…

A:

Q: The velocity of a particle moving along a line is a function of time given by v(t) = = the distance…

A:

Q: Find the volume generated by revolving the area 1 bounded by y = " x³ + 16x² + 63x (Round the answer…

A: We need to find volume.

Q: 12) 3 Find the first derivative of f(x)= -2 3x

A: The objective of the question is determine the first derivative of the given function.

Q: Find y as a function of a if y(0) = 7, y'(0) = 10, "(0) = 36, "(0) = 0. y(x) = 0 y(4) 12y" +36y" =…

A:

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

A:

Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

A:

Q: 3 1 21 0 0 25110 3 7 2 2 -2 6 13 5 -4 10 10 30-4 01-10 2 0001-2 0 0 0 0 0 (a) Find the rank and…

A:

Q: Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch…

A: Solve the following

Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

A:

Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given the graph distance time graph of a function. To find whether the slope is positive or…

Q: The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = Use the…

A: