Estimate the area under the graph of f(x): rectangles and right endpoints. Rn = 1 over the interval [-2, 3] using eight approximating x + 4 Repeat the approximation using left endpoints.

Q: Use Substitution method 4x - 3y = 5 x + 2y = 4

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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 slope of the tangent line to the given polar curve at the point specified by the value of…

A: Consider the curve

Q: Solve the second order. Dieg - Ý - ý syes 1 39

A:

Q: x² x² - 49 Find the critical numbers. (Hint: Check for discontinuities. Enter your answers as a…

A:

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

A:

Q: Consider the following. f(x) = √√49 - x² Find the critical numbers. (Enter your answers as a…

A:

Q: Solve | | - 3x +8 24

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: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A: To find the parametric equations for the line segment that joins the point .Note: Since the student…

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: ∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter…

A: To determine whether the alternating geometric series diverges or converges.

Q: 2. Use Calculus to find all local extrema of the function g(x)=x√3-x.

A:

Q: Find the general solution of the ODE: y' y²-6y+10 = 1 =

A:

Q: -4-3-2 VA 3 2 1-2 x = – 1 y = 1 3 4 5 x x = 2

A:

Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: Let h(v) = 4v v² +6

A: h(v)=4vv2+6

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: To find the critical numbers of the following function.

Q: 1. Solve dy_3-x-y x + y €1 dx 11

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

A:

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Find the surface area of the part of the plane 4x+3y−z=2 that lies above the box 2≤x≤5,   2≤y≤6…

A:

Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

A:

Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see…

A:

Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: Let f(x) = 3x + 3 and g(x) = −3x - 7. Compute the following. (a) (fog)(x) (b) (fog)(8) (c) (gof)(x)…

A:

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.

Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,3; degree: 3

A: Form a polynomial whose real zeros and degree are given.Zeros: -4,0,3; degree: 3

Q: 7. Σ n=2W 3 2 n2 + I 00 8. Σ n?e=n n=1

A:

Q: (a) Find the differential dy. y = ex/2 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

A:

Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)>0 for all x in I.The function f is decreasing on I if…

Q: - Consider the function ƒ(x) = x² − 4x + 2 on the interval [0, 4].

A: f(x)=x2−4x+2 on the interval [0,4]

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

A:

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

A:

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

A:

Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

A:

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

A: r=eθ,3π4≤θ≤3π2

Q: A rectangular beam is cut from a cylindrical log of radius 50 cm. A cross-section of the log is…

A:

Q: f(x)=x²8x² + 5

A: f(x)=x4−8x2+5

Q: Verify the identity + 1+cos 0 1-cos 0 2 + 2 cot²0

A:

Q: Let f(v) = V v+17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: A point x=c is  a critical point of the function f(x) if f(c) exists and if  f'(c) =0 or f'(c)…

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

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: Find a formula for the nth term of the sequence where an is calculated directly from the value of n.…

A:

Q: Help determine the difference quotient and for f(x)=x^2+4

A: Given,. Difference quotient=