Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

Q: Set-up the iterated double integral in polar coordinates that gives the volume the solid enclosed by…

A:

Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: Find the derivative of the following functions by using the limit definition of the derivative.…

A:

Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

A:

Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

A:

Q: Suppose f'(a) exists for all a in (a, b). Mark all true items with a check. There may be more than…

A: This question can be solved using the concept of continuity and differentiability in an interval.

Q: nite integrals, where the graph of f is given in the figure. a. f(x) dx b. ff(x) dx d. f1(x) dx c.…

A:

Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

A:

Q: Q2/ by using inversion method to solve the system 8x1-4x2+3x3=0 X₁+5X2-X3=-5 -2x₁+6x2+x3=-4

A:

Q: 2. Given the values for f(x) on the table, approximate the area under the graph of f(x) from x = -5…

A: Let's find approximate area under the graph.

Q: Q4\ Find the average value of f(x,y) = (+√) where 0≤x≤y and 0 ≤ y ≤ 4.

A:

Q: 10. 4x+9 x² - 4x+20 2 -dx

A:

Q: x2 (C) S²_₁₁√x+2 -1 dx

A:

Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

A:

Q: sin³ x cos2 x dx

A:

Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

A:

Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Given:y''+2y'-3y=0

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A:

Q: 4 3 2 1 -4 -3 -2 -1 2 3 5 -1 -2- -3- -4- 10. From the above graph of y = f(x), find all r-value(s)…

A: Explanation of the answer is as follows

Q: . Find the rate of change of the volume V of a cylinder with respect to radius if the height is…

A:

Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

Q: find the given general differential solution, using homogeneous equations with constant…

A:

Q: xy³ = Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ?

A: If limit tends to 0 and function tends to 1 then f is continuous.

Q: Carbon Monoxide Pollution The number of cars running in the business district of a town at time t is…

A: topic - composite functions

Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

A:

Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

A:

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=c-xªy¹/a (6) z² = =…

A: Use charpit method

Q: 1 S² = y e2y dy

A:

Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

A:

Q: ∫ ln(1 + ?2) ?x

A: Let's solve given  integral.  We know there is x instead of ?.

Q: 4. Evaluate the double integral: So Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dx.)…

A:

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

A:

Q: ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for…

A:

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A:

Q: the Taylor polynomials T₂(x) and T3(x) centered at x = 10 for f(x) = ln(x + 1). T. (m) 1

A:

Q: find the volume of the solid obtained by rotating the region bounded by  y=2x+6, y=0, x=1, x=2 and…

A:

Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x³-5x = 3…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the value of t(5) if you are give t(3)=-1 and the non-recursive formula is given as…

A:

Q: (a) L ·∞ e-x² dx

A: In this question, we want to write the given improper integral in limit form.

Q: (3+h)¹-81 The following limit limh→0 h represents the derivative of some function f at some number…

A:

Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.

Q: [x² x² tan-¹ x dx

A: We will use integration by parts to solve this question.

Q: y = u√u-1 u = 2x² - 1

A: Given problem:- Find derivative  y=u√(u-1) , u=2x2-1

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

A: Let's find exact value of delta(Z).

Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

A:

Q: Find the volume of the region bounded above by the elliptical paraboloid z=8-3x²-4y² and below by…

A:

Q: 4. Evaluate the double integral: L Lates y¹/3 x² 27 +1 (Hint: Change the order of integration to dy…

A:

Q: Give example of strongly convergence in Functional Analysis

A:

Q: lim 4 į (( #)² + ¹); n n

A: