3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and concave upward/downward. Identify all relative extrema and points of inflection, if any. Sketch the graph of the function.

Q: 4. Find the member of the curve whose slope at any point is and passes through the point (3, 4)

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: Use the series to evaluate the limit tan-¹ y - siny lim y→0 y³ cosy

A: Expand series and solve

Q: əz Let z = x² + y³, x = 2st and y = s-t². Compute for and ar

A:

Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

A:

Q: √81.4305 Using Linear Approximation, evaluate below. Answer must be in FRACTION.…

A:

Q: sec x = Let f(x) + x³e² - log₂ (5x + 1) + 1 x² √T Using the derivative rules learned in our course,…

A:

Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

A: Given :   y=x2 y=16

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: [x³√₁-x² x2

A:

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 7 =-=—=x² Find the center of mass of a thin plate of constant density & covering the region bounded…

A:

Q: 10. f(x) = x³ + 1

A: Here, the given function is: f(x)=x3+1 Here, the y-intercept is (0,1) and no x-intercept is (-1,0)…

Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

A:

Q: 2. F(s): = 1 (S-2)(s-4) (s-8)

A:

Q: Complete each of the following. a. Graph each function by making a table of values. b. Determine the…

A: We have to graph the following function.

Q: clnx Find the integral of ²x ye²dzdxdy

A:

Q: Jack has 13 cards printed with the letters from the word “UNDERSTANDING,” so that “U” is in one…

A:

Q: y = у 3x-1 x2+3

A:

Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

A:

Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

A:

Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² x 10

A:

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

A:

Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: дz дz Suppose z is a function of r and y and tan(√x + y) = e²². Determine and 3x ду

A: given function tanx+y=ez2

Q: RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁-…

A:

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A:

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: UZ. A curve C is defined by the parametric equations x=²-31, y=3²-9, -2<1<2. a) Find the points…

A: According to our answering guidelines we can answer 3 subparts at a time, rest you can repost later,…

Q: 3 fin [ ха Txx² 2 - 1/2 to

A: To evaluate: ∫13lnx21+x212dx=∫1312lnx21+x2dx=12∫13ln x2-ln (1+x2)dx=12∫13(2ln x) dx-12∫13ln(1+x2)…

Q: If sec2A = Select one: a. 3 deg O b. 5 deg O c. 7 deg d. 6 deg 1 sin13A' determine the angle A in…

A:

Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A:

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

A:

Q: A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and…

A:

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

A: Given query is to find the Indicated derivative.

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

A:

Q: (a) From Standard Form to Slope-intercept Form and Vice Versa (b) From Standard to Intercept Form…

A:

Q: d) Find s' (t) for the function. s(t) = 3t² + 5et

A:

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

A:

Q: An open-top rectangular box is being constructed to hold a volume of 400 in ³. The base of the box…

A:

Q: Given : f(x) = 10 -x 9(x) = x² - 4x-2 Find and simplify (fºg)

A:

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

A:

Q: Find Value of integral ) dx X+1

A: Given query is to find the value of the integral.

Q: 5. Find the general equation of the circle of curvature of the parametric equation X= ;y=+√6(t+1);…

A:

Q: Differentiate the following using Chain Rule. 1. f(x) = (2x - 1)4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

A: