lim 1³ + 3t² - 12t+4 1³ — 41

Q: 2. To raise funds, the student council sells yogurt fruit smoothies every day during lunch. They…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: a) α (²)+(!)-(3) Suppose the above equation is expressed as Ax = b with x = matrix form as (Ab)= = α…

A:

Q: Apply the definition of the difference quotient to the function Blue and help Steven evaluate it

A: We have given  Blue(s) = 5s2+1 Replace s by s+h Blue(s+h) =5s+h2+1 Blues+h=5s2+2sh+h2+1 Blue(s+h)…

Q: Find the an equation of the plane passing through points (−5,3,8), (10,9,8), and (-6,-3,8)

A:

Q: 3. The path of a tennis ball is given by the function f(t) = −²+61. f(t) represents the height in…

A:

Q: f(x)=64² +3 g(x) = 45+2 h(z) = 16 (1024)

A:

Q: 11 x cos(x) dx

A: To find the value of given integral.

Q: Question 15 Find an equation for the tangent line to f (x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x -…

A:

Q: bacteria is An antibiotic-resistant being cultured for a new antibiotic testing. Initially, 100…

A: Please see the below picture for detailed solution.

Q: ƒ(x) = ( 1² ) 3 +3

A:

Q: 4. Find the equation of the plane that contains both the lines L₁ and L2 whose parametric equations…

A:

Q: Given that f(x)=√√x²-4 and g(x)=√√√4-2², what is the domain of f(x)+g(x)? OR O [-2,2] O {-2,2} None…

A:

Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

A: Solution: To solve this problem, we will use the formula for the volume of a solid of revolution…

Q: 2. Determine the area bounded by the parabola y² - 8x + 6y + 17 = 0 and the line 2x - y - 13 = 0. A.…

A:

Q: For the function f(x) = 3 - (x + 1)³, find the interval on which fi increasing. O a. (-∞, 3) O b.…

A: given   f(x)=3-(x+1)3 for increasing  f'(x)>0dxndx=nxn-1

Q: 0 Find the derivative of the vector function r' (t) = ( r(t) = ln(12-2)i + √5 +tj+4e²¹ k

A:

Q: 1. Establish the convergence of the series given by n=1 If the series is convergent, find the sum. 2…

A: Given series is ∑n=1∞2(3n+2)(3n-1)

Q: Find the first order derivative of each function.

A:

Q: 12. Let s(t) = -5² +40t+ 1 describe a toy rocket's motion as it is launched vertically into the air.…

A: We shall use the fact that the rocket reaches its maximum height when its velocity is 0

Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) =…

A:

Q: 1. The section of a certain solid contains a semicircle, a rectangle, and a triangle, as shown. The…

A:

Q: 2. Find the interval and radius of convergence of n=1 (-1)" (x - 2)" n2n

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 x + 3 ✔…

A:

Q: Using the question from # 1 "The population of beetles is growing at a rate of 5% each month.  The…

A: The population of beetles is growing at a rate of 5% each month, which can be modelled by using the…

Q: (a) (b) d'y 3. +2dy dx --y=0 y"-2y = y'

A:

Q: When the price of a particular commodity is p dollars per unit, consumers demand a hundred units of…

A:

Q: you

A: Topic:- function

Q: What is S² S 2 9. b. C. k|x EN d. = www 2 sin 0 1 r cos² 0 drd0?

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is  s(t)=17t2 a) At t= 3 second S(2)=17×(2)2 S(2)=68 ft so , the the hammer will fall…

Q: Prove the identity. cot²x (sec²x - 1) = 1

A:

Q: Consider the augmented matrices below. For each matrix, state whether it is in row echelon form, or…

A: A matrix is in reduced row echelon form, also known as row canonical form if it meets the…

Q: Question 1 The points A and B have the coordinates (-2,-4) and (-6, 8) respectively. a) Find the…

A:

Q: If 5e^xy−2x=y+10.6, then the rate of change of the curve at the point (1,1) is __

A:

Q: Q1: The Trapezoidal rule for f f(x) dx = 5 and Midpoint rule f f(x) dx = 4 .What value does Simpsons…

A: Solve

Q: If ƒ(x) = 7x² − 7x − 24, find ƒ'(x).

A:

Q: The point (-3,-√3, -2) is given in rectangular coordinates. Evaluate one set of spherical…

A: The given point is (-3, -sqrt(3), -2)

Q: Use the half-angle formula to find the exact value of sin 157.5degrees

A:

Q: 2. Without graphing, Find the vertex and y-intercept of the quadratic function: f(x) = -4x² - 8x - 4…

A: To find the vertex and intercept of given quadratic function.

Q: Consider the curve given by x² – 6y² – 5 – 4xy . x+2y dy dx 2(3y-x) Show that

A: Given : x2-y2=5-4xy   To Show : dydx=x+2y2(3y-x)

Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

A:

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

A:

Q: Example 1 Find the function f(x) satisfying the given conditions: f'(x) = 2x + 4, f(1) = 3.

A:

Q: sinx-x x² n- 0 ng limits (apply L'Hospital" Int -; b) lim: ; c) lim x-1

A: Topic:- application of derivatives and calculus

Q: On which intervals is the graph of f(x)=2x4-12x² concave up? None of the choices. (1,+∞) only (-∞,…

A:

Q: Direction: Find the zeroes of the following functions; 1. f(x) - 27-3 2. f(x)=512x+3)(x+2)…

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

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: Find the average rate of change of the function f(x) Average rate of change Give an exact answer. =…

A:

Q: Use the information given below to find cos (a −ß). 8 17' 3 tan B with B in quadrant III 4 sin a =…

A:

Q: Act) = 10 [1+0s cos 0+ 0.5 Los 20] dacty ✓dt S ?

A: We know that derivative of constant is always zero

Q: The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The…

A: we need to find the minimal cost