Solve the following initial value problem completely, and check your answer by comparing it to the solution using the methods of Chapter 2 or Chapter 3. x' + 4x = 9, X(0) = -7 x(t) =

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: 5. Find three 2 x 2 nonzero matrices A, B and C such that B C and AB = AC = 0.

A: To find the matrices A, B and C satisfying the given conditions.

Q: (3x²-1) 5x3-5x+13 - dx equals In 15x³5x + 13| + c In 15x³ - 5x + c 5 O 1 In 15x³ - 5x + 13| + c 5 In…

A:

Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Q: X f(x) g(x) -2 5 1 -1 2 3 0 4 1 -2 2 -4 -3 -6 -1 f'(x) -4 -2 1 5 -5 g'(x) -1 3 -3 4 2

A:

Q: Determine dy/dx of = 3x(sin(2/2)) O None of the choices O 12/cos (2/2) + sin(2/2) 0-12 sin(22) + 3…

A:

Q: (a) Find the slope of the line through (-7,5) and (9,-3). (b) Based on the slope, indicate whether…

A: Given :Points : -7, 5 and 9, -3

Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx…

A: See the details solution in below

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

A:

Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A:

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: 10. Determine the point on the line x + 2y = 2 that is closest to (0, 0). Draw a sketch.

A: point which is closest to origin

Q: 2 2. √(√x-3) dx

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Let R be the region in the first quadrant bounded by the y-axis, the x-axis, the graph of y = ez,…

A:

Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

Q: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

A:

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = Triple integration. 1 using

A: Given

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

A: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X)

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: B)Evaluate the integrals: i) f/2rdrde, "1/2 ii) f/²/2finx 2² siny dz dy dx.

A:

Q: Use the Inverse Function Theorem to find (p-¹) (2) given that p(x) = √√x - 7. Note that p(−11) = 2.…

A: The solution is given below

Q: Find the solution of the initial value problem y" — 2y' – 3y = 6te²t, y(0) = 1, y′(0) = 0. NOTE:…

A: We have to solve the given differential equation.

Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

A: Domain :  domain is the  all value of x where the function is defined.

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Given that,

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A:

Q: Question 4 In sketching y In (x-2)² e22 no horizontal asymptote None of the choices O y = 0 and y =…

A:

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 2.…

A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

Q: Task Title: Pair Me! Materials: Mathematics notebook and ballpen Instructions: 1. Form 8…

A: Concept: Four basic operations are included in basic math operations: Subtraction(-) Addition(+)…

Q: 4: Find the indefinite integral of f(u) = -1-3√ =

A:

Q: For the parametric equations r(t) = √t+1 y(t) = t+1 compute dz/dt and dy/dt. Is there any point on…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using

A:

Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: Find the derivative of the following function. Factor fully and simplify your answer so no negative…

A:

Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

A:

Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

A:

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

A:

Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: Find the general solution of the following differential equation. 4y" +36y' +81y = 0 NOTE: Use c₁…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Solution given below