e2x (x²-4) Given: y = Determine the following: a. Symmetry b. Intercepts c. Vertical Asymptote/s d. Horizontal Asymptote/s e. Intersection with Horizontal Asymptote (If applicable) f. Critical Points

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: Boyle's Law for the expansion of gas is PV C where P is the pressure (in weight units per square…

A: Follow the procedure given below. Here you have to differentiate with respect to pressure.

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: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

A:

Q: d³y dx3 +69²y dx² - Q.2-Solve the differential equation dy 15 d - 100y = 0 dx

A:

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

A: Solve the following

Q: 4. Let X: +3 if x < -2 if -2<x< 1 h(x) = {x² -x+2 if x2≥1 a) Find the following limits if they…

A:

Q: Evaluate the surface integral f F.dS where F(x, y, z) = yz i+zxj+xy k and S is the S surface z =…

A:

Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

A:

Q: The graph of O the x-axis O the y-axis O None of these O the Origin y = = xe is symmetric with…

A: From the property of the odd function we observe that function is symmetric property.

Q: 6. DETAILS ZILLDIFFEQMODAP11 1.2.009. MY NOTES ASK YOUR TEACHER In this problem, x = C₁ cost + c₂…

A:

Q: af 2 Given f(x, y, z)=x√√x² - yz. Determine дz' af xy Əz 2√x²-yz af s af əz af Əz = = = 2√x²-yz…

A: A detailed solution is given below

Q: In sketching In (x - 2)² y = ex² determine the intersection of the " curve and the horizontal…

A: Solve the following

Q: Solve the differential equation. 14. ( 1 – xy)^-2 dx + [y^2 + x^2 (1 – xy)^-2] dy = 0

A:

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

A:

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x 2 1.5 4 0.5+ X

A: Using horizontal /vertical strip

Q: Question 5 What is the limx→ [(ln(2x - 4)) - (ln(x+3))]? If your answer is a Whole Number Fraction…

A: limx-infinity [ln(2x-4)-ln(x+3)].

Q: 3. | rV3 – adr -

A: We have to find out solutions

Q: Remaining "How Did I Do?" Uses: 2/3 Use the given information to find the unknown value. y varies…

A:

Q: Find y' 1. 3x − y + (3x-y)5 = 100

A:

Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

A: We need to find integral.

Q: What makes a function f(x) continuous at x = c? I. f(c) is defined lim f(x) exists II. X-C III. lim…

A: The function f(x) is said to be continuous at x=c if: I) f(c) is defined. II) limx→cf(x) exists.…

Q: [C (sec 9x + csc 9x)³ dx

A:

Q: Solve the differential equation. 12. ( r + sin θ – cos θ) dr + r ( sin θ + cos θ) dθ = 0

A:

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Calculate the iterated integral. 36 LTC + ar X dx

A: Solve the following

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

A:

Q: Given: ez + xy = 1 Find: əz ?х de dz dz 82 da 8z dz = = -I zez+y -eitz. -*e* ze²+y -ze**-y re**

A:

Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: (X^1/2 + 6) (X^3/2 -32)

A:

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

Q: Find the equation(s) of the tangent line(s) to the graph of the curve y-x-12x through the point (1,…

A:

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

A:

Q: d- d³y dx3 d²y +69² y dx² - dy 15- dx 100y = 0 equation

A: Topic = Differential equation

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

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: (a) State what it means for a function f: R → R to be continuous at a point x = c in R. (b) Consider…

A: Solve the following

Q: Solve the Homogeneous Equation using the given substitution. State the value of a. a= x² - y² - xy =…

A: As per the given condition I have to use the substitution y=vx such that dydx=v+xdvdx

Q: If f' is positive and increasing over an interval I, which of the following is true about the graph…

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: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

A: Let's find equation of tangent line.

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

A: We have to find the graph

Q: 4. Find the area of the region enclosed by x = 2y+3 and x = y².

A:

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

A:

Q: Calculate the differential equation dy dt and (i) Show and 3 y (π) 2 general solution + 3t² y = cost…

A:

Q: Question In the figures, are corresponding angles congruent? Are corresponding sides proportional?…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…