Using the graph of g(x) below, answer the following questions. a) Where is g′(x) > 0?     b) Where is g′(x) < 0?

Q: Consider the solid of revolution obtained by revolving about the x-axis the region in the first…

A: To find; The volume of the solid of the revolution obtained by revolving about the x-axis by disk…

Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

A:

Q: If 1 x+y True False = 1+ y, then dy || 1

A:

Q: Given the function z = f(x,y) = x²y + 2y² + 4xy-2, find the following: a) Find all of its critical…

A: Here, we need to find the critical points.

Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: Carlos surveyed 50 students about their favourite subjects in school. He recorded his results.…

A:

Q: Express the number as a ratio of integers. 3.898 3.898898898...

A: 3.898898898..... this can be written as  3.898898898..=3+ 0.898 + 0.000898 + 0.000000898 + .. ...  .…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: Solve the following

Q: Q4:- Find the derivative of the function at Po in the direction of the vector AC. f(x, y, z) = x² +…

A:

Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

A:

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A:

Q: Find an equation for the ellipse whose vertices are at (-1,-8) and (-1,0), and focus is at (-1,-1).…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: The following logarithmic expression, log2 (4), when completely simplified becomes

A: Given,  log2(4)x

Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

A:

Q: The graphs of f(x) = x³ + x² - 6x and g(x) = ex-3-1 have which of the following features in common?…

A:

Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

A:

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

A:

Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: 7. Find the volume of the solid generated by revolving about the y axis the area between the first…

A: Concept: According to the shell method, the volume by revolution about the y axis is…

Q: Consider the f (x, y) = By evaluating Show 4 at and Hence function 3 y³ + 3x²y - 6x ² the 2 6x² -…

A:

Q: Given the matrices A ING B 3 4 the matrix X in the equation A (X + 3B) = C. 148.9 X = 9 and C= - [-3…

A:

Q: calculate the purchasing power of this amount

A:

Q: x f(x) f'(x) x g(x) g'(x) 1 3 4 1 2 6 2 5 2 8 7 3 7 7 3 9 2 4 -1 4 5 -3 Using the tables, evaluate…

A:

Q: X1 + 4 x2 + 3x3 = 2 2x16 x2 + 6x3 = -3 5x12x2 + 3x3 = -5

A: Given :2x1+4x2+3x3=22x1-6x2+6x3=-35x1-2x2+3x3=-5

Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

A:

Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

A:

Q: > Question 6 Let u and v be functions of and let u' and v' denote the derivatives of u ar (a) Dz…

A:

Q: (8) IF: A=1+j+ k, B = i +2j- 3k Find A-B, A.B 2A.3B, A B, (A+B) (A-B) .

A:

Q: f(x) = 2x³ + 11x² + 12x - 9 For your function you are to: A) Analyze the Function State the domain,…

A:

Q: In (x-2)* In sketching y O no horizontal asymptote O y = 0 and y = 3 O None of the choices O y = 3 O…

A: In this question we have to find the Horizontal asymptote. Note: As per our policy we are suppose to…

Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

A:

Q: 2) 2xydy + (x² + y²) dy : > 0

A:

Q: 3. A 5-pound monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. the monkey climbs the…

A:

Q: tially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds of salt…

A:

Q: x²-3 (x-1)² Analyze and sketch the curve given by f(x)=- 2(x-3) (x-1)³ · if y'=—- and y"= 4(x-4)…

A: Given

Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

A:

Q: Evaluate 17 5

A: To evaluate: 175  We know that nr = n!r!n-r!

Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

A:

Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile) (12mile to…

A: 6 inch to 1 mile 12 mile to 1 inch

Q: Q.2)(A) Determine of each point convergens or diverges: R sinhn (4) Στη?)coshn ΑΞΟ (S) Σ ΑΣΘ ((Inn"…

A: Given

Q: The graph of the function y = f(x) passes through the point (-1, 1) and the line tangent to the…

A:

Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

A:

Q: 9. 5²-2 dz 10. fdx

A:

Q: Question 8 At what numbers is the function f(x) = Sommer O At all real numbers O At all real numbers…

A:

Q: Ⓒ Differenitale y = √3x-7 X

A:

Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: 2|6x + 4 ≥ 1 OX- 7/12 O-7/12 - 12/7 choose the right ans оо

A: solution:-26x+4≥16x+4≥12using properties of modulus6x+4≥12  or  -6x+4≥12 6x≥12-4  or  -6x≥12+46x≥-72…

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)