8 3 + 8 2 + 18 3 3 + 8 3 +. ...

Q: J 2x cos(x²) esin(x²) dx

A: Integration of  2x.cos(x2)e^sin(x2)dx  We have to calculate du after suitable substitution

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

A: A differential equation y'=f(x,y) represents the slope field of the curve y. at a point x0,y0 The…

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: For each of the following infinite series, determine whether the series is absolutely convergent,…

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Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…

A: The cost function is, C(x)=3x2-10x+243

Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: Sketch an example of a nonconstant function f(x) such that ·Sª. f(x) dx = 8

A: ∫xndx=xn+1n+1+c

Q: Q2.2 The amount of a sample of a radioactive substance remaining after t years is given to be a…

A: The Amount of a sample of a radioactive substance remaining after t years is given  to be a function…

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: 2π A sector of a circle has a diameter of 8 feet and an angle of Round your answer to four decimal…

A: We have, θ = 2π/3  Diameter (2r) = 8 r = 8/2 = 4

Q: Find the average value of the function f(x)= xex² over the interval [0,2].

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Q: Use the formula (x) K(X) = = y = 3x4 = |f"(x)| [1 + (F'(x))²] ³ 3/2 to find the curvature.

A: y=3x4

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: First make a substitution and then use integration by parts to evaluate the integral [ 2 si Answer:…

A: The given integral is ∫2 sinxdx

Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: What is the rectangular form of the parametric equations? x (t) = t - 3, y(t) = 2t² — 1, where t is…

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Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

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Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Find the area under the line y = 4 - 2x bounded by y = 0 and x = 0.

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Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

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Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…

A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3

Q: -4--|--| 9. Find the norm vector of the vectors a =

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

Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

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Q: 3. A paper cup has the shape of a cone with height 15 cm and radius 5 cm (at the top). If water is…

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Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: 20. lim x-0 cos mx 2 x² Cos nx

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Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: If z = (x + y)e and x 2t and y = 1 — t², find the following derivative using the chain rule. Enter…

A: Function is  z=(x+y)ey, x=2t, y=1-t²

Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: d'y dr² dy - 2x +2y=x²³, dx

A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

Q: forin the egral. ayus 4. Perform the line integral for 0 ≤ t ≤ 1. where the cur is the straight me…

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Q: Sketch a graph of the function f(x) = 3sin x. Please state the range.

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Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

A: limx→02ex-2x-25x2

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: If you want to earn 13% annual simple interest on an investment, how much should you pay for a note…

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Q: What is the area of the region bounded by the curves y = x and y = x³ in the first quadrant ?

A: We are required to find: The area of the region bounded by the curves y=x and y=x3 in the first…

Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A: f(x)=-9x2.

Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

A: