Direction Fields Draw the direction field for the given differential equation. Based on the direction field, determine the behavior of y as x→ ∞. If this behavior depends on the initial value of y at x = 0, describe the dependency. (1.33) = 3-2y dy dx dy (1.34) = 2y - 3 dx dy (1.35) = 1 + 2y dx dy (1.36) =-1-2y dx

Q: Compare the following Investments: Li invested $ 9,797 at 10% interest per year in an account that…

A:

Q: 1 69. y = 72+2

A: Given:a function To find:vertical asymptote and horizontal asymptote and sketch of function

Q: Find the equation of the plane that passes through the point (1, 1, 1) and is perpendicular to the…

A:

Q: Determine an n so that the trapezoidal rule will approximate the integral 12 En = - 8 dx 6+x with an…

A:

Q: X= 5 +t The parametric equations of a plane are y = 1+t. Find a scalar equation of the plane. |z=1-s…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: D) y =e²x² 4

A: Given that the equation

Q: In3 X (a) I e dx In2 dx x(log x)² (b) S 元_2j元_4 cote (C) S (1 + e 2 )csc Ode

A:

Q: (1.) -|w4+1W ✓ 6 =dx 2 9 - 4x

A: Since you have asked multiple question is one window and as per guideline only one question is…

Q: 1 1 --------- B = y 0 1 x, y, z, w, and write down the matrices, A and B, with the values inputted.…

A:

Q: The graph below is the function f(x) -8-7-6-5-4-3-2 lim f(x)= 1→∞0 %7 6+ 16 5 A 3 2 H 23 5 64 -5 -6-…

A: The graph given below is the function .To find

Q: O Find Vf, where f(x, y, z) = = e¯(ax+by+cz) with a, b, c some constants.

A: The objective of the question is to find the gradient vector of the function f(x, y, z) =…

Q: Use the price-demand function below, to answer parts (A), (B), and (C). p(x) = 80-3x 1≤x≤20 (A) What…

A:

Q: Write the sum using sigma notation. 12 +2²+ 3² + + 14² k = 1 Need Help? ... Read It Watch It

A: The given sum is

Q: A slice of a circular pizza 9 inches in diameter is cut into a wedge with a 30° angle. Find the area…

A: A slice of a circular pizza  inches in diameter is cut into a wedge with a  angle.The objective is…

Q: A bicycle has 24 in wheels (in diameter). Part: 0 / 5 Part 1 of 5 (a) What distance will the bicycle…

A:

Q: SUBMIT BY 12 PM of the tangent line r = 1 + 2 cos Find the slope at the > given 0 = π/3 point

A:

Q: Let u = (2, -3, 4) and v = (-2, 1,3). What is the projection of u onto v (proj v u) and the scalar…

A:

Q: If f(3x)=4x+1 , determine f(7x)

A: f(3x)=4x+1

Q: Drug Dosages Thomas Young has suggested the following rule for calculating the dosage of medicine…

A: The Drug dosage for a child of age t years is given by formula, where a is the adult dosage of drug…

Q: Find the tangent X = 3t² + t Y = 4+³ 3 line t = 1 to the curve

A:

Q: Find equations of the spheres with center (3, -4, 6) that touch the following planes. (a) xy-plane…

A:

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: Using the given graph we evaluate the limit.

Q: 4. On what interval(s) of x is f(x) decreasing?    5.On what interval(s) of x is f concave up?…

A: The function is decreasing when the value of f(x) decreases with the increase in the value of x.This…

Q: f(x) limfa) = -32 lim g(x) = -3 да Tim / 2 f(x) X-C - f(x)-79(x)

A: Given Limits is as follows

Q: Consider the following function. 32 + 7e x + 9e2x + 28e-3x 8 + 2e x + 7e-3x Find the horizontal…

A: Given: To Find: To find the horizontal asymptote(s) of .

Q: dy dx y(x) = y = ety where y(0) = 1

A:

Q: -7x + 2y = 1 Direct variation Constant of variation: O Inverse variation Constant of variation: O…

A: Given that the equation 2x=6/y and -7x+2y=1 we have to find choose the correct option

Q: Calculate the area under the curve y = x² + 4 for 0 ≤x≤5.

A: To find the area under the curve  for

Q: (a) k=1

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Lim (1-12) *

A: We have to find .

Q: consider the intergal (a) Evaluate by using the trig substitution and (b)…

A:

Q: y = 0. Consider the region in the first quadrant bounded by y = √√x, x = 4 and For each problem…

A: The objective of the question is to set up an integral for computing the volume of the solid…

Q: (a) (* 1 (²7) dr f(x) dx = 8. Calculate the following:

A: Calculate the value of .

Q: r = 5 2-4 cos 0

A: r=52−4cos⁡θ

Q: Differentiate the function. y' = y = 4x-7-√x 3

A: To differentiate the folowing function.

Q: Justify whether x³ + y² = 3xy has a horizontal tangent at (2, 4). 3y-3x² 2y-3x O No, because O Yes,…

A: The given equation is x3=3xy, (2,4)

Q: A mass is suspended at the end of a spring and is moving up and down with instantaneous velocity…

A: To find the displacement of the mass between t=4 and t=7, we need to integrate the velocity function…

Q: Write an equation for the graph below in terms of a 5. 3 3 2 -2

A:

Q: #4: Consider again the space curve c(1) = (1, 4 cos 1, 4 sin 7). Compute the associated unit normal…

A: Given a space curve to find unit normal vectorif a vector function  then unit tangent vector and…

Q: 4) If = y sin x and y = 2 whenx =, then y= A) e 2 cos.x C) e-cos x + 2 B) 2e cos. D) -cos x + 2

A:

Q: Complete the square: x² + 3x+ r_52+ =_x² + ²x+ = (x+ = (x+ )². )². )².

A: The given expressions

Q: 9. We return to the circle of radius 5 in 2-dimensional space centered at the origin, with our…

A: The objective of this question is to find the distance traveled by a particle moving along a circle…

Q: Use an appropriate Pythagorean identity to find the indicated value for an acute angle 0. Write your…

A:

Q: Find V × F, where F = -Ve-VR, where V = aî+by+ cz is a constant vector and R = xâ + yŷ + zê is the…

A: Given  where  is a constant vector and

Q: secy, (0)

A:

Q: 7. 3/14 (1+ x³ ) $ + c 54

A:

Q: Which of the following functions of x is guaranteed by the Extreme Value Theorem to have an absolute…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: Given,

Q: a) dy dx = (y - 1)(y + 2) y= ce3x 1-ce3x 1

A:

Q: In 2 -0 (4.) 4e sinhədə 0

A: