Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-2, -6, 1), C(0, -3, -6), D(3, 4, −4)

Q: 4Q Find the dot product and cross product of following vectors i a= 2i+j a= b=I-j+k b= 11. 111. a=į…

A: To find the dot product and cross product of the given vectors. Note that:…

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A: Evaluate :   ∫sin(3x)sin(x) dx

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Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The equation is given as , y=49-x2y=x+7 find the area of the region.

Q: Solve the following system of equations.  2w + x + y+ 2z = −9 w − x + y+ 2z = 1 2w+ x+ 2y − 3z =…

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Q: ermine whether the sets S₁ and S₂ span the same subspace of R³. S₁ = {(4, 3, 4), (0, 4, 4), (8, 10,…

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Q: Tutorial Exercise Find a formula for the inverse of the function. 5x - 1 2x + 6 f(x) =

A: Given function is        fx = 5x-12x+6            Let  y = f(x),   then…

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Q: The expression The expression The 5 x TⓇ f(t) dt gives a f(t) dt gives a expression [ f(t) dt gives…

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Q: 4. Which of the following functions are divisible by (x - 4)? Show all your work. 3 a. f(x) = = X 2…

A: 4) a) f(x)=x3-3x2-7x+12 b) g(x)=x4+2x3-4x2+10x-24 c) h(x)=-2x3+19x2-52x+32. Repost the 3 question.

Q: Problem 7. Given the graph of y = f(x) below, at which of the marked x-values can the following…

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Q: The Laplace transform of a continuous function over the interval [0, ∞o) is defined by F(s) = [ e…

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Q: 9. Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If…

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Q: Suppose that it is given to you that f'(x) = (x+6)(10 - x)(x - 12) Then the first relative extremum…

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Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: Graph the following reciprocal functions. Start by graphing the function in the denominator. Show as…

A: Here we have to graph the given function

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: Find the general solution of the following differential equation. y" + 2y + 5y = 0 NOTE: Use c, and…

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Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

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Q: Find the angle in the first quadrant that satisfies cose = √3 2π M FIM FU 6 None of these 5 T 6

A: We need to find the value of the angle θ such that cosθ=32.

Q: Let f(x) = ²15 Find the critical points c that correspond to local minima. (Use symbolic notation…

A: Given :fx=xx2+15

Q: M8 3k Σ k=0 ³√/K³ +2 elect the correct choice below and fill in the answer box to complete your…

A: Given :∑k=0∞3kk3+23

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

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A: Solve the following

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Q: Σ k=0 (-1) k 5k + 9 The number of terms that must be summed is (Round up to the nearest integer as…

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Q: Find the exponential function f(x) = ax whose graph is given. 1x f(x) = ب | دن -3 -2 N WebAssign…

A: Here we have to find the function.

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Q: Let y = √r and y = 2³, draw the region bounded by the curves. Then, use the washer method to find…

A: In this question we have to find the volume of the region bounded by curves using washer method.

Q: accompanying C. Replace row 2 by its sum w (Type an integer D. Scale now 1 by at should be the first…

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Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Find the solution of the given initial value problem: y(t) : y" + y = sec(t), y(0) = 9, y'(0) = 3,…

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Q: (b) ^ / dx a² I

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Q: A biologist has two brine solutions, one containing 4% salt and another containing 20% salt. How…

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Q: Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of two…

A: The Solution is given below

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Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: Solve the right triangle with hypotenuse 28 and one of the acute ngles 42°.

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Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

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Q: By using the substitution z = cos y, show that the differential equation dy cot y dx X can be reduce…

A: Given differential equation,dydx - cot yx = e3x cosec y

Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

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Q: Evaluate the integral: r+∞ 1 dv v²+2v-3

A: We will find the integral.

Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) =…

A: We can find tan(2 theta) by multiple trigonometric formula.

Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

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Q: 8. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 3 - x² on the…

A: We need to choose correct option.

Q: Use the product-to-sum formulas to rewrite the product as a sum or difference. cos 20 cos 40 Need…

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