3 Sketch the graph of each function for-27≤x≤2. a y sin (-x) by=2 sin (-x) cy=3 sin (-x) d Explain to a partner what you notice and explain the effect of the negative sign.

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Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

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A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: = Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 9 for f(x) = 1+x T2(x) must be of…

A: The given problem is solved below in detail.

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A: Let's find Dimension of rectangle.

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…

A: To find the general solution of the given PDE .

Q: 5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

A: To Solve: Solution of ODE

Q: When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the…

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Q: 44 x² -31 x6 +10° Approximate 26 decimal places. de using a right Riemann sum with n = 50. Round…

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Q: 1 S² = y e2y dy

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Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n=1

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Q: A- L [ Sin2t + cos2+] ² 2 B 32 3-2 [37-² + cost's *] 3 2

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Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: Given: ∫154xdx Solution: X 1 2 3 4 5 y=4x 4 22 43 2 45 h=1y0=4y1=22y2=43y3=2y4=45

Q: DIFFERENTIATE THE FUNCTIONS BELOW 3 x 8x %2 2 E (۶) ز د (ع) (1 = - Dx +

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

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Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

Q: Does the following series converge or diverge? 4√√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (6) z² = pqxy z=c+x²y¹/a

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

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Q: For each of the following ,find fx fy fxx fyy fxx and fxy 1.f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹ey.…

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Q: Stan77x dx

A: tan2x=sec2x-1

Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

Q: Solve the given differential equation. All solutions should be found. dyx³ 8y dx X NOTE: Use c for…

A: As we know that; The standard form of 1st linear order differential equation is: dydx+Pxy=Qx So, the…

Q: Evaluate [[r'dr de over the area bounded between the circler = 2 cos@ and r= 4 cos -41π/2 O -43π/2 O…

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Q: (d) Give the local maximum and minimum values of f (x). Enter your answers in increasing order of…

A: Local maxima and minima and concavity

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Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 4…

A: Given problem:- The radius r and height h of a cylinder are changing with time. At the instant in…

Q: 4e2x S sin(e²x) dx

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 x³ and y = 4x.

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -5, ƒ'(0) = 10, f(x) = +…

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Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: 2 [*x* (Inx)² dx

A: Given integration is evaluated.

Q: approximation of the function of the function f(x, y) = ln (x - 3y) om and 40 cm : Find the linear…

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Q: Consider y = 2 cos √√x + 2√x x sin√x a. Find dy dx' and hence find f cos√x dx b. The graph of y =…

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Q: àtics II, e the caraid Q3) By using the polar find region enclosed by y = x² and y = 1 Find the

A: Let's find region enclosed by curve and given line.

Q: cos(x) 2x+3

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Q: Suppose f(x) = 6t²√1+t³ dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: H.W find the first four terms of the binomial series for the functions:- 1-(1-x)-¹2 2-(1+)-²…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: 3. √ √1 + x² dx

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Q: ar the function A whose graph is shown, state the following. (If the limit is infinite, enter 'n'…

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Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2…

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Q: 2-S Sin ³ x cos" x dx

A: SOLUTION-