12. Sketch a direction field for the differential equation y' = xy+y, from -4 to 4. Then use it to sketch the initial conditions y(0) 1 and y(0) = -2. =

Q: Let C be a simple closed curve in the xy-plane such that the point (1, -1) is not in C, and let R be…

A:

Q: Exercice 1: Sit = Devir Libre f(x) = x-3+x+3 3) Dobrowing fat thanking que I out police. a)…

A: Bien sûr ! Commençons par l'exercice 1 :a) Pour montrer que \( f \) est paire, nous devons vérifier…

Q: Consider vectors u and v. u = 9i + 3j, v = 3i + 8j (a) Find the vector projection w = proj₁v of…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Given the vector-valued functions u(t) =ee (t) 5ti+4t2 – k = d + – tk find (u(t) (t)) when t = 1. dt

A: Approach to solving the question:To solve this problem, we need to follow these steps:Find the…

Q: Find the minimum value of f(x, y, z) = 2x² + 3y²+2z²-x+5y +Zz and -5x+4y-22=-3

A: Step 1:Step 2:Step 3: Step 4:

Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

A:

Q: Let C₂ be the line segment from (-2, 5) to (3, 30). Parameterize C2 and calculate Ja F.dr.

A: Step 1: The equation of a straight line with end points (-2,5) and (3,30) is given by…

Q: Calculus I May I please have the solutions for the following questions? Thank you,

A: a) Finding the area of the bounded region:The region is bounded by the functions y = e^x and y = 2,…

Q: A table of values of an increasing functions f is shown. x f(x) 0 -86 14 -65 28 -30 42 -10 56 38 70…

A: To estimate the integral of the function f(x) from x = 0 to x = 70 using the given table of values,…

Q: This might be a long question, so I'll separate it as (a), (b) and so on. If you can find the…

A: (a) Let's find the composite function (f∘g)(x) and its domain step by step. Given…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: (29) True Explanation : In mathematics, the derivative indicates the rate at which a function…

Q: 12) The bearing from the Pine Knob fire tower to the Colt Station fire tower is 65° N of E, and the…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find the derivative of y = = x2 22 using one of following two methods: rewrite using f(x) = en f(x)…

A: Approach to solving the question:Please see attached photos for the detailed solutions. thank you…

Q: The graph (attached) shows the velocity of a bug moving along the x-axis on the interval 0 ≤ t ≤ 13.…

A:

Q: Find the first four non-zero terms of the Maclaurin series for f(x) = sin(x5) cos(x5). f(x) = - +•…

A: Maclaurin Series: A Maclaurin series is simply a Taylor series centered around a = 0. In other…

Q: Pls help w this ques, use only given rules. I need help with a) and b). Full details in solution.…

A:

Q: Can you explain step by step please

A:

Q: f(x)dx where a = 9 = | = - f(x)dx = [f(x) and b = f(x)dx

A: Step 1: Given:∫311​f(x)dx−∫39​f(x)dx=∫ab​f(x)dxWe can use the property of definite integrals that…

Q: 10) Solve the equation 3 - 3 cos² (x) = 2 - sin (x) for all solutions on [0,2). Use exact values for…

A: Step 4: Find the Angles We need to find x for both solutions within the interval [0,2π). Case 1:…

Q: Practice

A: The zeros of the function are the x-values for which f(x) = 0. These are the solutions to the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: The vectors a and b can be expressed as a=−2i^+4j^​+k and b=3i^+j^​. Now determine the magnitude of…

Q: I need I help in this equation as fast as possible

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Option a: This option is incorrect  Option b: This option is correct because The point of…

Q: Calculus I May I please have the solutions for the following questions? Thank you,

A:

Q: 1. Find the equation of the plane passing through P, and perpendicular to the line L₁. P(2,-1,3);…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help with this problem and an explanation for the solution described below (Vectors in the…

A:

Q: Evaluate by interpreting in terms of areas: + √25 − x²)dx L(+1 You may enter your answer using exact…

A: Step 1: Reference: Integral, Area

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x)-(1) = f'(x) = 15 dt…

A:

Q: Find the Maximum and minimum of the following function: f(x) = sin(4x) on [0, π/2] a. identify what…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let a and c be fixed positive numbers. Consider the two surfaces S₁ z = c2 (f)² (x² + y²) and ~ S₂ :…

A: Surface is divided into two parts, S1 and S2. In both equation, x2 + y2, it is common that states…

Q: Calculus I May I please have the solutions for the following questions? Thank you,

A:

Q: 1. Find the equations of any line through P. (2,1, 4) and perpendicular to any line having direction…

A: Here's a step-by-step calculation of each problem: Step 1: Find the equations of any line through…

Q: Please sovle the following calc 3 problem and show all work by hand (explain answer)

A: Step 1: Given is the vector function below: r(t)=(8−2t)i+(2t−8)j+(7+t)k Step 2: The unit tangent…

Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…

Q: (a) Find the value(s) of the constant k such that the system of linear equations: x+2ky = k, ==…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: Step 1:Differentiate the equations with respect to t to…

Q: Calculus I May I please have the solution for the following question? Thank you,

A: To find the first derivative of ( y ) with respect to ( x ), let's use the quotient…

Q: Evaluate So C F. dr where F = (-3z, -4y, -x), and C is given by (t) = (sin(t), t, cos(t)), 0 ≤ t≤ π.

A:

Q: Can you find the exponential function f(x) = Cbx. I added the graph as a picture.

A: Step 1:Solutiongiven that point (1,15)( 3,375)function is f(x)=cbxput x=1 as f(1)=15f(1)=cb1=15it…

Q: If f(x) = = x² + 3x - 7 and g(x) = 3x - 2, find the following function. gof

A: Given:f(x)=x2+3x−7g(x)=3x−2 g∘f=g(f(x)) substituting the given…

Q: lim x→0 et 1+x -1 x - sin x

A: If you have any questions let me know in comment box thankyou for your question.

Q: Evaluate cos(x)ln(1+2)+24.5 1+€1.81z-55.6 answer = -dx.

A: Step 1:According to definite integral rule ∫aa​f(x)dx=0if upper limit and lower limits are equal…

Q: Pls help w this ques, full details in solution. Thnk u.

A:

Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…

Q: (c) Consider the system of linear equations. 3x+y+6z = 0 -6x-16z = 4 8y-17z = 17 (i) Solve the…

A: 1. Step 1:Decompose matrix A into L (lower triangular matrix) and U (upper triangular matrix).Step…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A:

Q: DATE: NO. 1. Find the equation of the graph of all points such that the sum of the distances from…

A:

Q: 8.11. Let y' = (y — 3) (y + 2)² e³. Sketch a phase diagram for this differential equation. Find and…

A: PART A: PHASE DIAGRAM PART B: FINDING AND CLASSIFYING CRITICAL POINTS  PART C: ANALYZING Y(0) = 0,…

Q: Calculus I May I please have the solutions for the following questions? Thank you,

A:

Q: Pls help w this ques, use only given rules. I need help with #c. Full details in solution. Thnk u.

A: Step 1: Step 2: Step 3: Step 4: