sec x lim X0 InX

Q: lim (1+ X00

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Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

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Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: Which equations parameterize the line from (3, 0) to (-2,-5) so that the line is at (3, 0) at t = 0,…

A: We know that the parametric equations of the line from x0, y0 to x1, y1 are given by xt = x0 + x1-x0…

Q: S(x4 – 4x5

A: Evaluate the integral

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Question- Find the area between the line y= -2+x and y=√x  and x axis.

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: Write an equation for the line that passes through the point (7, - 4) and is perpendicular to 3x -…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: Given F(x) below, find F'(x). 3x2 F(x) = -dt t-1 3 Provide your answer below: F(x) = %3D FEEDBACK…

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Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

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Q: Distinguish First Derivative of a Parametric Equation from Second Derivative of a Parametric…

A: The given problem is solved below in detail.

Q: [[(u + 1)e-(•1)dA; R= {(r,y) :0 s r s1, –1 <y s1} R

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan…

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Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: (zx" xy') dx-3xy dy 2-

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Q: (24) Evaluate the integral: / Va sin(1+x/²)dx. (25) Find the equation of the normal line to the…

A: Use equation of normal line

Q: wa’y+ xy + tan (wx) = Z

A: Given that,    z=wx2y+xy2+tanwx

Q: 1 lim x COS X

A: See this solution in below

Q: 8) Evaluate [[dA ,R: 1s quadrant bounded by y = x & x' = y 9. R In 8 Iny 4) e*+y dxdy

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Q: Evaluate the indefinite integral foan 2 sin“ v cos vdv

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Q: (h – 2) - 4 (i) lim 2h

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Q: 11. y = x + x

A: Given

Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

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Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: The amount of carbon 14 present after t years is given by the exponential equation A(t) = A, e kt…

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Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2…

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: Supply the missing integrand and the limits of integration dx dy -L- _dy ху A I (e-1)dy -1 y e'dy dy…

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Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: Find the particular solution of the differentlal equation that satisfies the Initial condition(s).…

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Q: Graph the function. 6x + 4, if x< 0 f(x) = 5x2 - 3, if x20 OA. OB. Oc. OD.

A: given function is f(x)=6x+4, if x&lt;05x2-3,if x≥0 so we calculate the values of f(x) for few values…

Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: Find dy If y=1-t and x2 dx

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Q: The limit lim (x c 1 X• COS is an indeterminate form of type 0· o. Select one: True O False

A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: x* dy

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