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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

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Q: Find the gradient of the function and the maximum value of the directional derivative at the indicat...

A: Gradient of a function f(x,y,z) is given by,          grad(f(x,y,z))=i∂∂x+j∂∂y+k∂∂zf(x,y,z) Maximu...

Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function 

Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y - axis and the parabola y – ...

A: Find your answer below 

Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands a...

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Q: 3x 3. lim х-0 sinx

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Q: In considering normal and tangential components, the t axis is tangent to the curve at the point tha...

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

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. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Use the Second Derivative Test to find all local extrema, If the test applies. Otherwise, use the Fi...

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Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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Q: х? + ах — 2bx — 2ab — х3 —2ax* — 2bx? dx х4 + ах3 — 2bx3 — 2abx? |

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Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot t...

A: I am attaching image so that you understand each and every step.

Q: 1. Determine if the series cos" () en? n=1 is absolutely convergent, conditionally convergent, or di...

A: Given series ∑n=1∞ cosn1nen2

Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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Q: 2n (b) E ens n=1

A: Find the limit of the given equation at infinity

Q: 8. What is dx (x2+8)3

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Q: The slope of the tangent line to the curve y 2x at the point 2, 16) is:

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

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

A: This question can be solved as per the instruction given.

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

A: Solving as per the instruction given in the question we get.

Q: x'y' = 4x? + 7xy + 2y? %3D

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Express the integral in terms of the variable u, but do not evaluate it. 7x/10 – x? d; u = 10 – x² N...

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Q: 1. What is the answer?Show your complete solution and simplify your final answer without the use of ...

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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: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: Astivity 3 tind the detNe of 2メー3 うメース ensing the definitiom -

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Q: tind the detne of 2メー3 う×ース using the definition -

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Q: 1. Answer the following question? A Let f '(x) = x - 2x – 3. For what value(s) of x does f(x) have a...

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Q: dy If y = x* then dx

A: This question can be solved by applying the concept of logarithmic differentiation.

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

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Q: 10 X

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. x = y A = 6. 27 x = y? 6

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Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting farth...

A: This question is related to rate of change, we will solve it using given information. 

Q: f) {1,0,–1,1,0, –1,1,0,...}

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Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Find the antiderivative, G(t), of the function g(t) = (5n²t² – t4)V5n² – t².

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Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x3, x =...

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Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: x²+5x-8 Evaluate f

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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