x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

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A: The intensity of field will show steepest descent in the direction opposite to the gradient…

Q: Evaluate limx->3  x2 + 3x - 4

A: Solution :limx→3  x2+3x-4Split the limit using the Sum of Limits Rule on the limit as  x  approaches…

Q: 1. Evaluate the following iterated integral. 16 4 dydr

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Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

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Q: this

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Q: V2+x² lim x-

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Q: Determine whether the plane passes through each point. x + 2y – 3z - 1 = 0 (a) (-4, 1, –1) O Yes O…

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Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given: (2,3,-6) Perpendicular to j vector

Q: 3) Solve the following equations over the given interval. a) 2 sin(8) - 4 =-2 sin(0) over [0,27) b)…

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Q: 1+cos5x 4. Evaluate y'for y = and simplify the answer sin5x

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Q: Question 2 A company manufactures two types of typewriters- electrical (E) and manual (M). The…

A: Let's find.

Q: Sketch the region enclosed by the curves and find its area 3 x = 0, y = 1, y = e3 NOTE: Enter the…

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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Q: Use the equation x" for |x| < 1 to expand the function 6. in a power series with center c = 0. 1-x…

A: To determine the interval of convergence.

Q: 3. Express the following integral as a one-dimensional integral in term of r, where E is the region…

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Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: according to company rules we can answer only first question and rest can be reposted.

Q: Evaluate the integral. xe dx NOTE: Enter the exact answer.

A: Find your answer below

Q: 1 for convergence, you can use the P-test. (You could also use the To test the series k3 k=1…

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Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

Q: 9. When all events are combined it is called union intersection area events 10.There are 71 grade,…

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: Activity 1. Calculate the Extrema Directions: Calculate the absolute extrema of the given functions.…

A: We need to find critical points to find extreama  or minima.

Q: (x+1)* 40. k! k=0 IM:

A: The given power series      ∑k=0∞x+1kk!

Q: f(x) = x3-3x2+3x-1 ;   m = -1   ;  [-1, 2]

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: ind a function F(x) satisfying the given conditions. . F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2)…

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Q: Find the indicated partial derivatives. f(r, s, t) = r In(rs®r®); f fst rss' frss(r, s, t) = frst(r,…

A: Consider the function, f(r, s, t) = r ln(rs⁸t⁸). The objective is to find the partial derivatives…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: (x2 + 8y²)dx – 6xydy = 0

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Q: It says Find the area of the region that lies inside r=2sin(theta) and outside of r=1.

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Q: 4 1 4. |x2ydxdy 2 0

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Q: Differentiate the function. p(t) = In Vt2 + 8

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Q: Cosx 2. Sketch a graph for f(x) 2+ sinx

A: The objective of the question is sketch the given function .

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

Q: Find sets of parametric equations and symmetric equations of the lihe that passes througn the given…

A: Here we have to find the sets of parametric equations and symmetric equations of the line that…

Q: Bx Bんt2

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Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: find the area bounded by the curve y=4x-x² and y=0 from x=0 to x=4

A: Topic = Area

Q: Evaluate the following integral: (tan(t) sec(t) i – te³'j) dt

A: The objective of the question is evaluate the indefinite integral.

Q: (л/2, 1) (5л/2, 1) 10 (зл/2, —1) (7л/2, —1) -6- (4, 4) -4 2 4 8 (2,0) (6, 0) -2-

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Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Graph the inequality. y> 2-4x Use the graphing tool to graph the inequality. Click to enlarge graph

A: Given query is to graph the inequality.

Q: dy 1+y+1

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Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

Q: ength of the curve 1 1 < x < 2. 6 10x3 +

A: