Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

Q: A line passes through the points A(-1, 3, 1) and B(2, 0, -1). Find a vector equation of the line. A)…

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Q: What is the domain and range of the following function? 34. y

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Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Provide an appropriate response. If cos x is replaced by 1-- O JE] < 0.000014222 OE < 0.000085333 O…

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: A bucket begins holding 10 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall…

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Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: 2x cos(x²) esin(x²) dx

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Q: Which functions are not invertible? y=tan(2x) Dy=2-5e-2 y = x(x² - 4) f(x) is the volume in liters…

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Q: y"" + 25y' = 0

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Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2

Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: -5 y 30 20 10 f 5 (5,2) 10 15 20 X

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Q: 6. Find equation of the tangent line and normal line to the curve at the given point. x² + 5xy + y²…

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Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x…

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Q: Estimate S M₁~ e -x2 dx using the Midpoint Rule with n = = 4, correct to 5 decimal places.

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Q: What is the value of csc() if the terminal side of the angle intersects a circle at the point (-8,…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

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Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: find the  increasing and decreasing of the function f(x)=4x^3+2x^2+4x

A: To determine where the following function is increasing and decreasing. fx=4x3+2x2+4x

Q: 14. lim 818 (In x)² X

A: 14). limx→∞ln x2x

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

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Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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

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Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: Find the area of the specified region. Inside the limacon r- 8+4 sin @ O 72m+ 64 O None of the other…

A: To find the area inside the limacon r=8+4sinθ Graph

Q: A runner is jogging at a constant speed of 3.6 miles per hour. a. Find the distance d that the…

A: The speed of a runner,  v = 3.6 miles per hour To determine:  (a) The distance d travelled by runner…

Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

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Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…

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Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

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Q: Determine whether the lines and intersect. If so, find the point of intersection. r₁(t) = (0, 1, 1)…

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Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

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Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

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Q: For the function f(x) = 5(2) - 7, state its domain, range, and asymptote and then graph the…

A: Given, the function…

Q: F(t )=100,000t for the next 9 years. What is the Present Value of this income stream over the 9…

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: Determine the value for c so that lim f(x) exists. X-5 f(x) = 1 5x+C, -x+10, for x>5 The value of c…

A: If limx→af( x ) exist then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )