Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x = 1 bounded by the x- axis, the line x = 1, and the parabola y=4-x².

Q: i) f si sin 3x cos 3x dx ii) [ cos³x dx

A:

Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A:

Q: 1. | 37 2 T 2 cos² 4x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: √9-x Consider the following double integral 1 = So So By reversing the order of integration of I, we…

A: Mark the limits on the graph and then reverse the order

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A:

Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: Use synthetic division to find the result when 3x4 - 3x³ +16x²-117-31 is divided by a + 4. Write…

A: answer is in next step . please give a like !!

Q: Consider the following. u = 3i + 3j v = -3i+j+ 5k Find u x v. Determine if u x v is orthogonal to…

A:

Q: Find the curl of the vector field F. F(x,y,z) = x sin(y) i - y cos(x)j + 5yz² k Part 1 of 3 It is…

A: The objective is to find curl F.

Q: Consider the following. Differential Equation dy=-10xy dx (a) Use Euler's Method with a step size of…

A:

Q: Describe the x-values at which is differentiable. f (x) = { 3²-7 x²-3x≤0 3-x²x>0 T -2 2 -2 The…

A: Let's find function is differential or not.

Q: Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

A:

Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

A:

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 4y³/2 i + 6x√y j…

A:

Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…

A:

Q: Problem 10. Find the inflection points of f(x) = 8x + 110x³ - 42x² + 10. (Give your answers as a…

A:

Q: An even function f(x) for all values of x and x holds a. f(x) = f(-x) b. f(x) = -f(x) c. f(x) =…

A:

Q: defferentiate the function: y= ln((x^1/3)/(2x+1))

A:

Q: d 2. Given that g(x)= 1 dx 1+3x 3 (1+3x)² term-by-term. 3 (1+3x)²' find a power series…

A:

Q: Determine whether or not the relation is a function and then give its domain and range in interval…

A:

Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

Q: If s(t) = 3t2 – 2t – 1, then s(-1) =

A:

Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

A:

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

A:

Q: Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum…

A:

Q: Evaluate the following integral: LLC (2x+4y)dydx

A: Evaluate the integral.

Q: 4. ["s 0 sinx + 2 cos x dx

A:

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A:

Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: bernoulli dy dx + X = - 9.5 -xᵒy

A:

Q: Let f(x) = Then f'(x) = m = b = 3 sin x 6 sin x + 2 cos x The equation of the tangent line to y =…

A:

Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

A:

Q: sin 125Cos 65- cos 125sin 65 find exact value

A:

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: lim t→∞ - 4t9 t² - 9t + 5

A:

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: log4 You can write log421 as log21- True False

A:

Q: 15. 1/√/2 X 1+ 4x4 dx

A: We need to evaluate :

Q: 1. Зл 2 π 2 cos² 4x dx

A:

Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

A:

Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

A:

Q: -4 -3 -2 II 5+ 4+ 3+ 2+ 2 estion Heln: 1 2 3 4 5 Video

A: Topic:- polynomial functions

Q: Find the sum. 6 Σ k k = 2

A: Here we have to find the sum.