(a) √ (cos r - sin r) da (b) / cot² x da

Q: Work problem 30 Given the vector function 5 F(1) = (61³ – ¾, sec(4 − 1)), t then find the tangent…

A: Given :Ft=<6t3-5t, sec4-t>at t=4

Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

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

Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Find the volume when the following region is rotated about the y-axis: y = √4x², y = 0, x = 0.

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Q: The result of the integral is equal to 4 √ = (x − 1)(x + 1) dx

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Q: 4. Solve for 1 [(ax)²-b²]³/2 J dx.

A: See this solution in below.

Q: (b) r4 x x²-9 dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: • Find the exponential F.S of the signal shown below, then find the trigonometric form. of(t) A 1/2…

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Q: 3. Determine the radius and interval of convergence of 8 k=2 7k (x - 5) k k

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Q: Find the height of the tower using the information given in the illustration. 85.829° 130 A

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Q: True or False: If / (x − 3)(x + 2) - then B = Select one: O True False 2 5 -dx = 3 - In(|x − 3]) +…

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Q: List the first five terms of the sequence. a1 = 3, an+1 = 5an - 5 a1 a2 a3 = a4 = a5 =

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Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

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Q: Use Newton's method to approximate a root of the equation 3x7 + 7x² + 2 = 0 as follows. Let 1 = 1 be…

A: Follow the procedure given below.

Q: Prove the identity. 2 sin 20 cos 20+ cos 40=1-sin 40 To verify the identity, work each side…

A: sin2θ+cos2θ = 1.

Q: Solve the problem. A loaf of bread is removed from an oven at 350°F and cooled in a room whose…

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Q: 8. Use that (1+x)-2 = 1-2x+3x² - 4x³ + for -1 ≤ x ≤ 1 to find the first four nonzero terms of the…

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Q: Write 2x (x+1)² constants. completely in the form of partial fractions solving all the unknown + v…

A: Given problem:- Find partial fraction of 2x/(x+1)2

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: Solve, finding all solutions in [0,2x) or [0°,360°). 2 sin‘x+ sinx=0 2

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Q: If u(t)=sin(t), cos(4t), t > and v(t) = , use the formula below to find the given derivative. [u(t)…

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Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Question 12 a)! Let C be a curve defined by the vector equation r(t)=. P(32, 52, e³2) Show that the…

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Q: For f(x) = (x + 1)²-3 where x > -1, find: a. The inverse function, f-¹(x) b. The domain of f-¹(x) c.…

A: Given f(x)=(x+1)2-3 We know that, A function g is the inverse of function f if for y=fx,…

Q: -5 -3 2-1 3+ 1 1 2 4 N -1 B 2- Submit Question ON 4+ 10. -3 Which of the following is true about = 0…

A: Let's find true statement about given graph.

Q: 10. Find the particular solution of √√x + √√yy' =0 where y(1) = 9

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Q: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: The value of an investment of $1000 earning 9% compounded annually is 110 V(I, R) = 1000 where I is…

A: Given that, the function is VI,R=10001+0.091-R1+I10. Obtain the value of VII,R.…

Q: t dy dt a. Find y(40) b. Findt where y(t) = 900. 78. If = .08y (1 - y 1000) y(0) = 100

A: We need to find y(40) and t.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

A: We need to find Surface area.

Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

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Q: Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x,y) = 2x³ 14xy…

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Q: Determine the general solution of the differential equation

A: Follow the procedure given below.

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Integral of sin^3 x dx over cos^4 x

A: In this question we have to find the Integration.

Q: The rate of change of the time it takes to mow a lawn is inversely proportional to the square of the…

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Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: Find the coordinates of the center, foci, vertices, and the equations of the asymptotes of the conic…

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Q: Work problem 1 Consider the ellipsoid given by the equation: .8 53 - 5z². X + y 4 8 a) i ]Find the…

A: Let's find equation of tangent plane and normal line.

Q: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

A: A class of eighth graders undertook an ambitious project to compile the most dominant color of…

Q: IntegrateIn(a) da. о х5 5 x5 ln(x) - x5 25 x5 In(x) - - 25 x4 5 ·ln(x) + 1 X - x5 5 x5 25 +C + C + C…

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Q: 10 Find the linearization L(x) of y = e¹0 In(x) at a = 1. (Use symbolic notation and fractions where…

A: Given:   y = e10 ln(x)  At a = 1

Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…

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Q: Find both first partial derivatives. f(x, y) = 8x - 7y + 4 (No Response) (No Response) fx(x, y)…

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Q: 5. Find the volume of the solid formed by rotating the region bounded by the graph of y=1+√x, the…

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Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

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Q: -2 t Evaluate √5+² dx

A: To solve the given definite integral problem.

Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 5yw + 8w2 = 4…

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = -2x - 3y c = 4, P(0, 0)

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Q: [ Find r'(t) r" (t) given the following vector function. r(t) = (4²+2t)i + (51²+5t)j O 33 +164t…

A: We have to find out derivative