(d) √ ² (3 (3 − z)(3z + 1) dz. 0

Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: Evaluate the integral. *5 1³ v +² + 25 dx

A:

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

A:

Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of fƒ and…

A:

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: 8. 位 dx √x

A:

Q: Convert the complex number to rectangular form. 8( cos 1 +i sin 1-π) 6

A:

Q: The solution set of 12x +21>4 (-∞, -4) U (1, ∞ ) .A O (-∞, -5) U (1, ∞ ) .B (-∞, -3) U (1, ∞ ) .CO…

A: Topic = Inequality Correct option = C

Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: Given that,

Q: Calculate the integral approximations Tg and Mg for (lnx)-¹1 dx. Your answers must be accurate to 8…

A: Given problem:-

Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: Let D be the region enclosed by y = eª, y = e¯ª, x = 0 and x = 2. The volume of the solid formed by…

A:

Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

A:

Q: Convert the following point from spherical to rectangular coordinates: 4π 11π (8,36 471, 117).

A:

Q: Determine the amplitude, period, and phase shift for the given function. y = 1 cos 2x - cos(2x - 3)…

A:

Q: 9 Find the slope of the tangent line to the curve at 0 = 37. Answers should be in exact form (i.e.,…

A:

Q: We are interested in the first few Taylor Polynomials for the function f(x)= 7e + 3e-* centered at a…

A:

Q: The LCM (y2-16, y2 +8y +16 (y-4) (y+4) G

A: Given: y2-16,y2+8y+16 Steps for finding LCM: Find all the prime factors of each given number.…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A:

Q: Set up the integral, given area enclosed bewteen curves y= x^3 + 2x^2-8x and y = -x^2 + 2x

A:

Q: (4x+5y=-3 5x+4y=3} x=-3 and y=3 x=3 and y=-3 .B x = -3 and y=-3.0 ( x=3 and y=3 DC Solve this system…

A: we have to find solution

Q: Q1. Evaluate the integral S dx (x + 1)(x² + 1)

A: We need to evaluate the following integral ∫01dxx+1x2+1

Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

A:

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: d dx tan x = sec² x

A:

Q: a. Interest is compounded quarterly b. Interest is compounded daily c. Interest is compounded…

A: Follow the procedure given below.

Q: Assume that the vectors a, b, c, and d are defined as follows: a = (8,3) b = (6,5) c = (4, -1) d…

A:

Q: 1 S √4x²-9 Ocosh-¹+C -1 -1 Osin ¹+C Osinh¹+C O None of the choices Ocos ¹+C -1 dx

A:

Q: A company produces a special new type of TV. The company has fixed costs of $461,000, and it costs…

A:

Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: 1. Lim X→2 2x³+2x²+2x+6 x3+4x+3

A: Apply limits to find the solution

Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: √√x+1 Sketch the graph of the function Determine the value of x when y = 3, algebraically and…

A:

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Find where the curves intersect, draw a sketch of the region (label it completely), and compute the…

A: This question can be solved using area bounded by curves.

Q: [(4x³ +2x)³(12x³ +1)dx . Your work must include the use of substitution and the antiderivative. -1…

A:

Q: X+5x+1 After decomposing the rational function x³-6x²+9x into partial fractions without evaluating…

A: Given problem:-

Q: Л ST 6 77 6 EN F/3 2 3 -0 i 11 6 4) V3 2² 2 27 3 F|N 11 6

A:

Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

A:

Q: the phase shifts of

A:

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy 5. 5…

A:

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. X y(x) =…

A:

Q: Test: Test 2 (11 problems) In the following problem, begin by drawing a diagram that shows the…

A:

Q: y"+y=2xsinx

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: 2) Determine the sine function that models the given information: (8K) Amplitude Period Phase Shift…

A: