Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point (1,0).

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Q: 1. In the figure shown, a vertical triangular gate submerged in a certain liquid with s.g. = 0,85. I...

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Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

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Q: Let F(#) f(/(=)) and G(r) =(F(2))2 and suppose that f(5) = 6, f(6) = 3, f'(6) = 7, f'(5) = 15 Find F...

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Q: Question 14 Evaluate and simplify the integral x +æ+3 a4+6x2+9 Show your solution. Upload Choose a F...

A: A detailed solution is given below

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A: local maxima and minima

Q: Integrating factor by inspection: Solve the equation (y – xy²) dx + (x + x?y²) dy = 0 O = In y - x +...

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Q: Find all solutions to the equation on the interval (0, 27) : cos (a - %3D 5m T 47 3' 3 47 57 3 3 * 2...

A: Topic:- trigonometry ratios

Q: Find tan a dr.

A: Given query is to find value of the integral.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=5 and x...

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Q: Approximating Area with the Midpoint Rule In Exercises 67–72, use the Midpoint Rule with n = 4 to ap...

A: Given: f(x)=x2+3Interval:[0,2]n=4

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Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the in...

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Q: Find the directional derivative of the function at P in the direction of v. V2 (i + j) f(x, y) = x³ ...

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Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: : Solve-Using D-operator dy dx + Зу - 5х — е t - 0 dt %3D dt dx dy +x + y-3 = 0 dt %3D dt

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Q: 9-x2 C: Change to polar and evaluate the double integrals S (x3 + xy?)dydx V9-x2

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Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

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Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,       ...

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Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

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Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal Asymptote...

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Q: 3. J 2Vxdx

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Q: 5-14 1 Solve the differential equation. 5. y' + у — 1 6. y' – y = e* 7. у' — х — у 8. 4x'y + x*y' = ...

A: Given

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Q: (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 animals in the p...

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Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: (2) V+ Vx? + Va 4x2+2yx2-Vx+1 4x2+2x2+Vx-1 (a) (b) 4x2+2/x²+vx+1 4xZ–2,x²+vx+1 (c) (d) O b O d a

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Q: In the following figure, identify the terminal side of an angle in standard position with given meas...

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Q: S"(x² + y²)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2

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Q: (ii) Solve x(2z - 3y)p + y(3x + z)q + yz + 2xz = 0

A: ## x(2z-3y)p + y(3x+z)q + yz + 2xz = 0

Q: cos? r dr ? 1+2? The improper integral since, cos z A. 1+z2 1 for z>1 and / 1 dz 1 +1 r2 + 4 cos z c...

A: The objective is to find the correct option.

Q: Suppose that f and g are integrable and that -1 f(x) dx = 5 h(x) dx = 4 7, dx = %3D Use the rules to...

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: Answer: The solution is as given below:

Q: 10. Sketch the solid obtained by rotating the region undemeath the graph of the function y = xi - 2 ...

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with consta...

Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...