Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

Q: du 13. (1 + t) - + u = 1 + t, t> 0 dt dr + r = te' dt 14. t In t

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Q: 2- Prove that: Jzt=27 dz %3D 2in. Whot is the princinle nart for f(z) = ze %3D

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

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

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Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: btam a parken Aplution alor then t=0, r=r,. dr = -frt

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

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Q: Let a = (2, –3, 5) and b = (4, 1, –1). Compute: a +b = (. a – b = ( 4. 2а 3

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Q: Select ALL possible answers if there is more than one. 1 if x<- 16 2. If f(x) is continuous at x =: ...

A: Differentiable

Q: DO NOT include spaces in between characters. * 1 Find f' (-) if f(x) 2 Your answer

A: Solution ) f(x)=1/x2 f(x)=x-2 Differentiate with respect to x  f'(x)=-2x-2-1 [d/dx(xn)=nxn-1 ] f'(x)...

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

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Q: Let v = (3, –5, 5). Find a unit vector in the same direction as v.

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Q: 2х2-8х+7 x 0 х-бх3

A: The given function is: f(x)=2x2-8x+79x2+5x-3, x≤0-4x3+6x2-15x-6x3, x&gt;0

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

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Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money i...

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

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Q: Find the critical numbers of the functions below: f(x) = x^4/5 (x − 4)^2

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

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Q: Consider a closed rectangular box with a square base with side length `x` and height 'y'. Find the s...

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

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Q: If a region have axes of symmetry at y = x and y = -x then its centroid is at the origin. True O Fal...

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Q: What is the average value of the function f(x) = sin2xcos3x on the interval [0,? a. t b. 0 π с. d. 1...

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Q: 7. у' — х — у

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Q: Evaluate the fo llowing limits lim x8 + 7x + 9x-4x² +2 Xヨ-0 x4 - 4 y5 - 3x*-6x +4 2x2-8x +7 suppose ...

A: 1) To evaluate:  limx→-∞x8+7x6+9x5-4x2+2x4-4x5-3x2-6x+4 Dividing numerator and denominator by x4, we...

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

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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: Below is a graph of the derivative of a function f. y 3| (x from -1.3 to 2) A.0 -0.5 -1 0.5 1.0 1.5 ...

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Q: Your factory is going to manufacture a rectangular container which has a fixed capacity V, with a sq...

A: The Volume of a box with a square base  x by xand height  h is V = x2hh=Vx2The amount of material us...

Q: Let a = ci + jand b = 4i + 36j. Find c so that a and b are orthogonal. C = i

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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: What is the value found using Δy≈f ′(x)Δ​x?  √5=

A: answer of given question is in step 1

Q: In the following, assume all matrices involved (and their combinations) are square and invertible. S...

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use differen...

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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: 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: Instructions for forms of answers in differential equation problems: For second order DEs, the roots...

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Q: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.  

Q: The area which is inside the circle r = 8 cos 0 and outside the circle r = 2 cos 0. %3D

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Q: a = - i+ i+ w = i+

A: Given query is to find the the vector form the graph.  

Q: rtoo Е. re dx स०२२

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v a...

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Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: For items 8 & 9, express the complex number in rectangularform. 8. 4 cis - A. 1+ iv7 B. 2+i 2V3 C. 2...

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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-...

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Q: Write z, and z2 in polar form. 21 = -20, z2 = V3 +i Z1 = 22 = Find the product ząz2 and the quotient...

A: We have to write complex number in polar form

Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: DO NOT include spaces in between characters. * Compute g'(2) if g(x) =10**-2* 16 Your answer

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