- (2e'cos t) i+ (2e'sin t)j 7K Find T, N, and k for the space curve 7k.

Q: lim cos G+5 +

A: limx→πcosx2+π4+12  

Q: Use the given transformation to evaluate the given integral, where R is the triangular region with v...

A:

Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

A:

Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: Let a be any positive real number. Then * 1 lim In a – 1 True False

A:

Q: lim 4 sin(x + n) + 3

A:

Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: x + y = 5,y = 0,x = 0; about y =

A: Topic = Volume

Q: Vx2+5x-6 lim X-4 16-x2

A:

Q: Find the indefinite integral and check the result by differentiating. x+4 dx

A:

Q: For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24...

A: Let's find. 

Q: s² -a Find the value of r' at s = 2a if r(s)= %3D s* +a“ Your answer

A:

Q: For the following exercises, find all points on the curve that have the given slope. 71 x= 4 cos t, ...

A: Given query is to find the points where slope is 0.5.

Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

A:

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: A function is f(x) is said to be continuous at x=a iff  limx→a-f(x)=limx→a+f(x) A discontinuous fu...

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v (0, 24) %3D a = %3...

A:

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

A:

Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

A:

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: 1 Evaluate J (37 + x°) dx

A: On solving this integration we will get

Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to fo...

A:

Q: Given that f(−9) = −9 and f'(9) = 2, approximate

A: Given query is to find the value do the function at indicated point.

Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

A:

Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the...

A: We will find the rate of change of radius. 

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: Use a table of values to evaluate the limits of the given function

A: Let's find. 

Q: Consider the following. f(x, y) 3e% sin(y) Find Vf(x, y). Vf(x, y) = %3D Determine Vf(x, y) at the p...

A: f(x,y)=3ex siny∇f= ∂f∂x i + ∂f∂y j∇f=3sinyddx(ex) i +3exddy(sin y) j∇f(x,y)=(3ex siny, 3excosy)at 0,...

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2 a...

A: We need to calculate the volume.

Q: Prove that lim (9x* - 25) = -9

A:

Q: y? = 8x, y = 2x; about y = 4.

A: Given that y2=8x,y=2x about y=4 . Here we have to find the volume of the solid generated by revolvin...

Q: a. A x, y =x b. As x2,y- C. As x, y=x²+ 3x →. d. As x , y=-3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: A sequence is a list of numbers written in a definite order: a1, a2, a3, A4, called the •, An, An, ....

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Q: Temperatures on Mars   The air temperature one chilly spring morning at your time-share condominium ...

A:

Q: 3. Determine whether the series below converges or diverges using the test that you think is easy! 2...

A: Solved below

Q: - tan²(x) sec5 (x)

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

Q: Prove that lim (4x2 – 25) = -9 x-2

A:

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

A: Given problem:- Find the point of intersection of the line through (1,-3, 1) and (3,-12, 6), and the...

Q: y = e2x, y = e*, and x = 2

A:

Q: RX)=5x and C(x)3D0.001x+2.6x+7O,

A: answer of given question is in step 2

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If i...

A: Explained below 

Q: 4) Confirm the results of the Fundamental Theorem of Linear Algebra for each of the matrices A and B...

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Q: Find the arc length function for the curve y = 2x3/2 starting at the point (1,2). %3D

A:

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: Find the volume of the solid obtained by rotating the region bounded by y =x' and x = y about the x-...

A: Given query is to find the volume of solid generated.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We know that for the vector u = ai + bj + ck, the unit vector is  u^ = aa2+b2+c2i + ba2+b2+c2j + ca2...

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

A:

Q: Select the basic integration formula you can use to find the indefinite integral. 6. dt du Va? - u? ...

A: