Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers to four decimal places and enter the values in increasing order. C1 = i C2 = i

Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x ...

A: We will find the derivatives and value at a point. 

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

A: P(1,3,-4)Q(0,0,0)R(3,5,1)

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Evaluate (x" S (aT +") da 3x Answer: Submit Answer

A: We will solve the integration. 

Q: Perce Mandtactring delemines that the daily revenue, in dolars, trom the sale of x lewn chairs is Ri...

A: According to new guideline if a question contain more than 3 subparts then we have to solve only 3 s...

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...

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Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Calculate the volume of the solid formed when the area shown below enclosed by the curve y = Vx, the...

A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

Q: 1. Use the e - d definition of the limit to show the following: (a) lim(5x – 2) = 3 エ→1 (b) lim Vr =...

A: The objective is to use definition of limit to prove the above question.

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

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Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: deandn=a.ean 

Q: Find the directional derivative of the function at the given point in the direction of the vector v....

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Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

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

Q: Evaluate the integral L(9te") i + (9e 2") j+ (4) kļat. J[(otea") i+ (9e 2) j+(4) k]at = ([ i+ +. (Ty...

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Q: Given y=(3x +6)| 2x- Find the value y' at x = 4

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

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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: Find the points on the graph of z = xy + 8y-1 where the tangent plane is parallel to 6x + 5y + 6z = ...

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Q: rtoo Е. re dx स०२२

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

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

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Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: n² + 2n + 3 E-1)" 5n4 +n+1 n=1

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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) Find the critical points of f on the given interval. (b) Determine the absolute extreme values o...

A: The given function,    fx=4x2+4 cos-1x on [-1,1]

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. ...

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

Q: Use the position function s(t) = -16t2 + vt + s, for free-falling objects. %3D A ball is thrown stra...

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Ki...

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

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Q: dx T² + 4 2

A: We have to find value of indefinite Integration.

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

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as ...

A: Given,            The adjacent sides are i+j and i-16j.To find : Find the lengths of the diagonals o...

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

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

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Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: x2 3 |5 – x + C а. 5 – x3 - cos t dt 1 + sin t In 1+ sin(t)|+C b.

A: integration

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

A: Topic = Volume

Q: A telephone line hangs betweenn two poles at 12 m apart. In the shape of the catenary y = 50 cosh -4...

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Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

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Q: Consider the parabola given by the equation: f(x) = – 4x - Find the following for this parabola: A) ...

A: Given equation of parabola   f(x)=-4x2-10x+11

Q: Find

A: We will find the derivative of the above function using logarithmic differentiation. 

Q: Write an equivalent first-order differential equation and initial condition for y. y = -dt 1 ... Wha...

A: fundamental theorem

Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

A:

Q: The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third...

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Q: 1-cost lim sint et-1 + t t t+0

A: