Give an example by sketching the graph of a function f that satisfies all the given conditions. lim (x--> -3) f(x)=+oo, lim (x--> -oo) f(x)=-2, f(0) = 0, f is even.

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Q: Let f(x) f(g(x)) = g(f(x)) 30 C Question Help: - 4 Find the following functions. Simplify your…

A: Given query is to indicated composite function.

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Q: Please resolve this one.

A: Given integral:- ∫07dxx+13+1

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Q: 2. The area of Mammoth Cave Nationc Park in Kentucky is about seventy-four thousand, nine hundred…

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A: Note: Since the student has mentioned to solve only question no. (9), so we are solving only…

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Q: Use the Laplace Transform to solve the giver initial value problem. y" + 2y + 5y = 0; y(0) = 2,…

A: Given Differential Equation:- y''+2y'+5y=0;y0=2,y'0=-4

Q: 3. For Z= xtanxy,evaluate Zyy

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Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

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Q: Find the following for the given equation. r(t) = (e-t, 5t², 7 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

A: Given: rt = e-t, 5t2, 7 tan t To find: r't , r''t and r'(t)·r''t We know that  ddxex = ex ; ddxtanx…

Q: ii. iii. [x x cos(x) dx [rs x sec²(x) dx x³ ex/³ dx

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Q: A woman walks along a straight path at a speed of 5 ft/s. A searchlight is located on the ground 24…

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A: Consider:…

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Q: How would you evaluate S tan 7x sec ³x dx? Choose the correct answer below. OA. Rewrite the power of…

A: I am attaching image so that you understand each and every step.

Q: Question Let h(x) and g(x) O O O = -4x-2 -4 = f(x) g(x)' Select the correct answer below: where f(x)…

A: We know, ddx(u(x)v(x))=v(x)u'(x)-u(x)v'(x)v(x)2

Q: rotate the point (2,8) by the (3/5,4/5) about the origin (0,0). (3/5,4/5) is on the unit circle.

A: Given data, Point A(2,8)

Q: 6. Condense the logarithmic expression into a single logarithm. log(t)-2 log(w-1) + log(t + 1)

A: We can condense the logarithmic expression in the below steps.

Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: Consider g(y)=y4/4+1/8y2. (a) Find the derivative. (b) Find the expression for 1+[g′(y)]2. (c)…

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: satisfying the initial conditions y(1) = −4, Answer: y(x) Your answer should be a function of x. -…

A: The given differential equation is; x2y''+5xy'+4y=98x5, y(1)=-4, y'(1)=21.

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Q: et F and G be vector-valued functions such that (t) = (cos(πt), e²t−1, t² − 1), Ġ(1) = (1,1,−1),…

A: Given:- F→t=cosπt,e2t-1,t2-1 G→1=1,1,-1 G→'1=2,3,2

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Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

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Q: Si 0 dx √√√x+1+1 7

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Q: Find the exact coordinates of the centroid of the following semicircular plate with radius 6.…

A: Topic:- geometry

Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.

Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

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Q: . (tan¯¹(t),e¯² Evaluate lim (tan-¹(t), e-2t, Inty t→∞

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Q: ... 03008 3. Graph the inequality subject to the nonnegative restrictions. Make sure to # the lines…

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Q: By using the definition of the derivative, one can sin(x) - 1 x-x/2 2x - R Identify the correct…

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Q: Consider the shape with vertices (1,3),(4,7),(0,10),(-3,5) translate the rectangle so (1,3) lies on…

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Q: Evaluate the following integral or state that it diverges. dx 17.15 x² +25 1

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Q: Find r(t). u(t). r(t) = (3t − 6)i + ¹⁄t³j - + 1⁄2 +³₁ + 2k u(t)= t²i6j + t³k r(t) u(t)= 2

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Q: State the equation of the rational functions whose graph is below. y 5+ 4+ 5432 3+ 2+

A: NOTE: Refresh your page if you can't see any equations. . as we can see  from the graph, the…

Q: The inflection points of the gra with green circles. Find all in- when the particle has a negati

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Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

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Q: Suppose R is the triangle with vertices (-1,0), (0, 1), and (1,0). (a) As an iterated integral, JJ…

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Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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