Sketch the graph indicating maxima, minima, asy 4-x³ function: f(x) = x3

Q: ind the equation the tangent line and normal line to the graph of f(x) = x³ at x = 2.

A: Given f(x)=x3 substitute x=2 in f(x)⇒f(2)=23=8 The tangent line passes through the point (2,8)…

Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

A:

Q: Consider the solid shown in (Eigure 1). Suppose that a 49 in., h-343 in. Figure 1 of 1 x³0 Y Part A…

A:

Q: When does f(x) = ln(x + sin2x), 0 < x < 2π have a local minimum?

A:

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Given:      fx,y=9y2e6x The gradient of a function z=Fx,y is denoted by ∇Fx,y The direction of the…

Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

A:

Q: simplify 12cos4xsin4x

A: Simplify 12 cos(4x) sin(4x)

Q: (Simplify your answer.)

A:

Q: Find the open intervals where the function f(x) = − 2x³ + 6x² +172x-3 is concave upward or concave…

A: The given function f(x)=-2x3+6x2+172x-3

Q: 3. Evaluate f sin(3x - 1) dx

A: we want to determine the integral  ∫ sin(3x-1) dx

Q: 4) Find equations for the planes: a. The plane through P, (0, 2,-1) normal to n=3i-2j-k

A:

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: 5

A:

Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (+7)2 +…

A: Important points to form standard equation of circle÷ If center of circle be (h,k) and radius be "r"…

Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3

A:

Q: Derive the Maclaurin and Taylor Series of the function below:

A:

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: Given the function z=f(x,y)=2y³ −6xy − 3x² +2, find the following: a) Vf= b) Find all of the…

A:

Q: Consider the following statements: 1. 27x +3,27€ - 11, and 27x + are antiderivatives of 27. II. In…

A:

Q: Find f'(x) if f(x) = = f(x) = x² 3x-2'

A:

Q: The population of a certain country (in millions) at time in years) is P(t)- 2e when f-0 is the year…

A: Follow the procedure given below.

Q: Y=t-2√√x + X

A:

Q: Sketch a graph f(x) = 2 sin [-2(x+1)]-3 for two cycles. ✔✔✔ 5. List 3 key points below. >

A: Concept:  The sine function's general form: y=Asin(Bx-C)+D Where A represents the amplitude Period:…

Q: Find the integrating factor e∫Pdx then find the general solution. y' = x - 2ycot 2x

A:

Q: Max was injured and can no longer work. As a result of a lawsuit, he is to be awarded the present…

A: Concept: We have the present value (PV) If the rate of receipt of revenue from time t=a to b is R(t)…

Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

A:

Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

A:

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A:

Q: Consider the following. f(x) = =x+4 (a) State the domain of the function. O all real numbers x O all…

A: We have to find asymptote

Q: D Question 3 Let P = f(t) be the population of the United States, in millions, t years after January…

A: We have to explain each mathematical statement into practice meaning.

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

A:

Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

A:

Q: e. The line through (1,1,1) parallel to the z-axis.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate ㅠ (2) 풍 1 1 5 -dt. t² + 1 (b) ㅠ 24 (c) 쯔3 (d) ㅠ 2

A:

Q: 1 : In ( + 3) and g(x) = ₂ ² 9 ₁ x-9 Let f(x) = In

A:

Q: Do not use calculators. Approximated decimals are not accepted. Let j=8 k= 3 Solve the equation:…

A: To solve: The equation log3x-9+k=2-log3x-1+k. Given: The value of k=3 Concept used;…

Q: Let f a continuous function in [0,1], an integral equivalent to π/2 f (cos(x)) sen (x) dx 0 after…

A:

Q: Find the linearization of the function f(x) = 1 9x+8 √a la π sin (a) L(x)= Find the true values of f…

A:

Q: Consider a spring with constant k= 200 N/m, If the spring is compressed 4 cm, so the integral that…

A: work done in spring    W = ∫kxdx here  k = 200  upper limit in cm  2 and lower limit 4  so in meter…

Q: Solve the given differential equations: dy x-3 1. dx 2+y²

A: Differential equations

Q: Find the derivative of the transcendental function. y = 6e^x/(x^2+5)

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A:

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

A:

Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

A:

Q: 3- (2x+y)dx + (x-2y)dy=0

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…

Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

A:

Q: Hand written plz 9. Find inverse Laplace: es S

A: