Q: Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=0
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Q: -x-y-z Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sys In 9, 0≤z≤ In 27) with…
A: Given :Dx,y,z: 0≤x≤ln3, 0≤y≤ln9, 0≤z≤ln27 Tx,y,z=18e-x-y-z
Q: 1. Which of the following is the general solution of the differential equation Oy²=x² +C að
A: We will solve the differential equation.
Q: Question The series Select one: Σ n=1 is a geometric series with r = True O False 5" -lin
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Q: 1. Limits of five sequences. Match the formulas with the descriptions of the behavior of the…
A: To find the behayof given sequences.
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Q: Find the cross product a x b. a ++kb-i+2j - 3k 10 Verify that it is orthogonal to both a and b. (a x…
A: Consider the vectors a=12i+13j+110k, b=i+2j-3k
Q: Suppose (2, -1) is a critical point of a function f with the continuous second derivatives. If fxx…
A: We need to choose correct option.
Q: The value of the integral is equal to: Select one: O 4 O с صرا من م من ته 3 x ²² (4x - 4y) dy dx
A: The given integral is: I=∫01∫0x4x-4ydydx As we know the Power rule: ∫xndx=xn+1n+1+C
Q: Consider the points below. P(1, -4, 5), Q(-1, -2, 3), R(4, 1, -3) (a) Find a nonzero vector…
A: We have to find the nonzero vector orthogonal to the plane through the points P, Q, and R and find…
Q: Evaluate the integral 2 2-x [1² 0 0 xdydx.
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Q: 1. Given the graphs below: -14 The blue graph is r = √√3 sin and the red graph is r = cos 0. Use a…
A: Given :r=3sinθr=cosθ
Q: A particle is moving with the given data. Find the position of the particle. 12. a(t) = 3 cost - 2…
A: 12) a(t)=3cost-2sint, v(0)=4, s(0)=0 13) a(t)=a, v(0)=v0, s(0)=s0.
Q: Solve the given differential equation by undetermined coefficients. y" - 16y = 96 y(x) =
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Q: Obtain an exponential function in the form f(t) = Aert. HINT [See Example 5.] f(t) is the value…
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Q: Which of the following is true for the series 3n³ 6n³+1 Select one: O Diverges O Σ n=1 Converges to…
A: A series ∑n=1∞un is said to be divergent if limn→∞un is nonzero. limn→∞1n3=0
Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 128 64 2 32
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Q: Obtain an exponential function in the form f(t) = Aet. HINT [See Example 5.] f(t) is the value after…
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Q: (d) Find the volume of the solids generated by revolving the region in the first quadrant bounded by…
A: We need to find volume.
Q: A machinist is required to manufacture a circular metal disk with area 588 cm². Give your answers in…
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Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x)= x³ -…
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Q: n=1 5 4(--)"-2. 3
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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞). Find the interval(s) for which f"…
A: We have the graph of f'(x) and we need to tell where f''(x) is >0So, f''(x)>0 when f'(x) is…
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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ + 3 and ==5 when x = 3. dt Find dt dy dt when x =…
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Q: = √ F Evaluate F. dr. F(x, y) = 3xi + 4yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2
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Q: e -1-21 (22+3) dz Ans 17+19 ng the path x=2t+1₂ Y = 4t²_t_2 ost
A: I= ∫1-2i3+i(2z+3)dzalong path x =2t+1,y=4t2-t-2z=x+iyz(t)=2t+1+i(4t2-t-2)dz=…
Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3
A: This question is related to definite integration, we will solve it using given information.
Q: Determine L-1 (-1(1+81) S³ 1 (a) =—=t+2₁² (b)t+4t² (c) t+8t² 1 (c) t+8t²
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Q: 3) y(³) − y(¹) = cos(2x). —
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Q: L3Q6. If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x). A.2x – 1 + log x B.2x – 1 – log x
A: Given; f(x) = 2x – 1 and g(x) = log x
Q: Evaluate the line integral along the path C given by x = 4t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy…
A: Gievn, x=4t,y=8t And 0≤t≤1
Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 60,000 + 800x. (A) Find…
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Q: 7 circle r = cos 6 and circle r = sin 0
A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…
Q: - (b) Let R be the region bounded by the curves y Midpoint Rule with n= 4 to estimate the area of R.…
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Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius C…
A: The water freezes at 0°C is (32°F) and boils at 100°C (212°F)
Q: Question correct for the series : Which of the following is Σ n=1 Select one: O equals 4. O None of…
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Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2
A: To solve the equation.
Q: An employee has two options for positions in a large corporation. One position pays $14.25 per hour…
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Q: Choose the gradient of the function : f(x, y) = ex² Select one: O None of these ○ (6ye+²+³y², 2xer²…
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Q: 1 = x², x = 1 Given the region D in R2 enclosed by Sketch the region D Compute the iterated double…
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Q: The ceiling of a building has a height above the floor given by z = 30 + x, and one of the walls…
A: The surface area can be given by SA=∫abf(x)ds =∫040(30+14x)ds Path is given by…
Q: The integral ₁₁x – y dxdy is equal to: Select one: 0 O2 O None of them -2
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Q: A share valued at $258.65 pays quarterly dividends in perpetuity at a rate of return of 5.50%…
A: Given that share price =P= $ 258.65 rate of return = 5.50%…
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Q: Use the Root Test to determine whether a converges, where a is as follows. n n n = 1 = ( ²² + ²)² n…
A: We will apply Root test
Q: 68t ²+2 An epidemic is growing in a region according to the rate N'(t) = 1 where N(t) is the number…
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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…
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Q: Q1 (2 Let R be the region bounded by y = 0, y = x², x = 1. a) [ 1 Sketch the region R. b) Evaluate…
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Q: (b) Use Simpson's Rule with n = 10 to estimate the area of the surface obtained by rotating the sine…
A: Let's solve area of surface.
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