If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx [ f(a)dx - ²,f(t)dt, 9 4 and b=

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

A:

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

A:

Q: Evaluate the following integral using trigonometric substitution. x² √√64-x² S dx

A: I=∫x264−x2dx

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A:

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To determine the given equation is linear or non linear.

Q: Consider the function f(x) = 2x³ + 3x² - 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 5 r…

A: r=5θ,π2≤θ≤2π

Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete 3. (x²y + 2xy² -…

A: The given differential equation

Q: Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

A:

Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

A:

Q: Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show…

A:

Q: What is a function that could have 17 X Question Help: Message instructor Submit Question Jump to…

A:

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

A:

Q: Let f(x) = 2x³ + x²-x+3 on the interval [-1.5, 5]. Use calculus and algebra to justify all answers.…

A: The given polynomial function is  on the interval .

Q: To test this series for convergence ∞ n=1 n n6 + 7 You could use the Limit Comparison Test,…

A:

Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

A:

Q: Consider the function f(x) = = 8x² x-6

A: f(x)=8x2x−6

Q: .SS. Write an iterated integral for dA over the region R described to the right R using a. vertical…

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n…

A:

Q: Given the following integral and value of n, approximate the following integral using the methods…

A:

Q: 12 X 10 -1 2 3 f(x) 6 3 0 1 g(x) 3 -1 -3 2 f'(x) 5 -3 0 -2 g'(x) -2 2 0.5 The table above gives…

A: Given,  h(x)=f(g(x))

Q: 1. Solve dy_3-x-y x + y €1 dx 11

A:

Q: Consider the following parametric curve. x = et - 4t, y = y = 8et/2, 0≤t≤ 2

A: x=et−4t,y=8et/2,0≤t≤2

Q: Given f(x) = 2x³ - 12x² + 4x + 13 The possible inflection value is x = Concave Down interval is O…

A: The given function is

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve

Q: 17 [²²; 1 The integral dx diverges. x (In x )1.5 If the integral converges, enter the value below.…

A: Substitute

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 2xe…

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

A:

Q: Consider the function f(x) : = m2 – 52+4 x + 2 a. Find the first derivative. f'(x) = b. List any…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals,…

A: Given Differential equation as follows

Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

A:

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

A:

Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

A:

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

A:

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. [9 3(1 + Ax)] - 6…

A: limΔx→0[9−3(1+Δx)]−6Δx

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4 + x² -…

A:

Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: For each of the indefinite integrals below, choose which of the following substitutions would be…

A:

Q: e,f,g

A: By using previous solution sign Table xf'(x)Positive zeroNegativeDNENegativezeroPositive

Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: Find the lines that are tangent to the curve y = 2tan(pi*x/4) at x=1

A: The equation of tangent line passes through point  with slope

Q: Solve the following initial-value problem: dy dx = e sin x 2xy e cos x + x² y(0)=0

A: Given differential equation

Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

A:

Q: Find the domain of the function f(x, y) = ln(x² + y² - 9) + √-y.

A:

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

A: