For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line that touches this curve at point (π/4, 6)? Slope: [Select] 23. What is the equation of the line tangent to the curve? Equation: [Select]

Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: Find a potential function f for the field F = e²y + 52 (2 i + 4x j + 10x k). A general expression…

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Q: 7 dx x4 - 16

A: Given: I=∫7x4-16dx   As we know the common integral. ∫1ax+bdx=1alnax+b+C And ∫11+x2dx=tan-1x+C

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A: Given:a=-3i+2jb=2i+aj

Q: 10. 3 J√cos z sin ³ zdz COS

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Q: y=x², y = 1, y =9 y=9, first quadrant

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Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

Q: Find the line integral along the given path C. [(x - y)dx, where C: x=t, y = 3t+8, for 0 ≤t≤6 с √(x…

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Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

A: Solution of given question is written in below steps.

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: 6x9-x5+- (A) π B 0 C) None π √4-x2 dx is equal to

A: Here we have to evaluate I=∫-226x9-x5+14-x2dx

Q: +∞o Evaluate: S e-x dx 0 A + ∞ (divergent) B 0 C 1 D) None E e

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Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: 5 S dx (x-3) ² (A) None B 0 C ∞o (does not exist) D - 1 E 1 Evaluate:

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Q: (D³ - 3D²D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0   So, the auxiliary equation is: m3-3m2-m+3=0

Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

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Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: As per Bartleby guidelines rule I am answering only first question as other question is not a…

Q: 2. Find the horizontal asymptotes of the following functions. √9r²+1+2x+1 (a) f(x). 4x +3

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Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: 11. 5 [ese xdx

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: The attached figure shows the surface S1 : y + z = 2 , limited in the first octant with the surface…

A:

Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1

Q: 1 f(x) = (2x³ + 6) ³

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Q: One of the correct steps to evaluate A B) None Ⓒ [+ + [ 1².40-16.4040] -S de cos 40d0 + [ 140 + 1 =…

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Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

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Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

A: Solution of given question is written in below steps.

Q: Determine the derivative of the function g(x)= 2 / cosx. Do not simplify your answer.

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

Q: y = x4; and y = 1 about y = 2

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Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

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Q: St dx tan 1²dt=2x tan x² X (A) True B) False

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Q: e Sc (4x + 3√y) c Evaluate figure. ds where C is given in the accompanying CH 1- (0,0) y=x O (1,1) X…

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Q: ·S* A True B dx tan t²dt = 2x tan x² False

A:

Q: Question 11 [₁ Evaluate: 2 A 63 16 B 105 C) None 16л D 105 2n E 63 sinxcos³xdx is equal to

A:

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

A: To find out the area bounded by curves.

Q: Problem 1: Use the elementary row or column operations AND cofactor method to find the determinant.…

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Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: 12. dx Ve -1

A:

Q: What is the slope of the line tangent to the curve y = 3x² + 6x +3 at x = 4? Oy' = 51 O y' = 30 O y'…

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Q: P af af Q3.If f(x,y)=sin(x-3y) + sin(x) find: and əy ax

A:

Q: Write as a single function of a single angle. tan 145° tan 85° - = [?]([_]°) 1+tan 145°. tan 85°…

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Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: 2. 12, 3. 7, 20, 47, 94, 167, 4.1, 4, 2, 8, 6, 24, 22, 5. 11, 23, 48, 99, 6. 6, 13, 27, 55, 111,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: f(x) = √√/5x+8 What is the derivative of f(x)?

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Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: see below the answer and calculation