State whether the equation is a parabola, ellipse or hyperbola. Then state whether it is vertical or horizontal 7(x-3)^2 = 43 - (y+1)^2

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A: Topic:- application of integration

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A: As per Bartley guidelines we are supposed to answer only one question per post. Hence answering only…

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

Q: 3. 3 lim x→∞x4

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Q: Sketch the area represented by g(x). - 60 O y g(x)= (3 + sin(t)) dt Find g'(x) in two of the…

A: g(x) = ∫0x(3 + sint) dtg'(x) = ddx∫03(3 + sin t)dt= (3 + sinx) ddx(x) - (3 + sin 0) ddx(0)=…

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Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: Evaluate the integrals: a) fxe-² dx. хе 2 b) ſ² sin πtdt. -3

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Q: Find the roots of (D4 +D²+1) 0 a 1± √3 1± √√√3 2 2 =1=Fܪܝ ܘO b. -1± √√3 -1± √3 2 2 0²1+√√√3 -1±i√3…

A: According to question,Given Equation,D4 + D2 + 1 = 0;

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Q: Use the FTC to evaluate the following definite integrals. f (6x - 2)dx ³₁ t³ dt

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Q: 5. 6. 7. dx x² + t√t2² + x² dt tx dy de dx dy 0sec(y/0) + y Ꮎ 4y - 3x 2x - y

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A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 -sin 2x 15 -sin2x O c. 1 ➡cos2x 10 O d. 1 15 O e. none…

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Q: Evaluate the integral. [₁² ( 2x + 1) dx

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Q: B. Eliminate the arbitrary constants in the equation y = C₁e²x+c₂e³ +6e". Use (a) elimination method…

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Q: Solve the problem. 26) In a certain memory experiment, subject A is able to memorize words at a rate…

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A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  the given…

Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution for the following differential equation.D2-4D+6y=6ex

Q: (D3 - 2D2 - 5D + 6)y = e3x, Find Yp a. 1 O b. О с. 10 I 3x e 1 10 ∙e 3x xe 10 3x

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Q: 7x² + 4x-6 x² + 3x² . dx.

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Q: 2. Evaluate the indefinite integral using the substitution method. [((x+5)(z-5)) d

A: