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

Q: Determine the derivative of the function f = log, | tan 5m + sec 5m| with respect to m. O cot (5m) r...

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

A: Solution )a)  S = P e0.12n S' (n) = P (d/dn) e0.12n S'(n) = P × 0.12×e0.12n [ (d/dx)e nx = nenx  ] S...

Q: Opening Exercise Given the pictured quadrilateral, find the exact value of: a. the perimeter of the ...

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k | (a) Find the projection of u onto v. (b) ...

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to approximat...

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Q: Find all numbers x such that the series n=1 converges!

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0, 0) an R(2,4, 1). NOTE: Enter the exa...

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Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine ...

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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: 15-20 1 Solve the initial-value problem. 15. x*y' + 2xy = In x, y(1) = 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as d...

A: topic - differentials

Q: Use Squeeze Theorem to evaluate -2x lim e COS x x 00

A: Based on the squeeze theorem or it is also been called sandwich theorem we can evaluate the limit by...

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

A: We will solve the integration. 

Q: 2. Find the equation of the normal line to the graph of e" tan(xy) – In(x² – 3y) = sin (Tx) - at the...

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Q: 7T then 6. If 0 = sin(0) = cos(0) = COS %3D

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Q: (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =

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Q: Determine h' (x) when it is given that [h(2x)] 16

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Q: s.cloud/modules/unproctored les A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find...

A: A bicycle with 20 inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

Q: A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by pri...

A: We have to make equation and maximize the revenue as given in this question. 

Q: Given a point in cylindrical coordinate (4, , -4 ), find its equivalence in spherical coordinate. Dr...

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Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

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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: A poster must have a printed area of 280 square inches. The top and bottom margins are 6 inches each...

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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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and...

A: Given   xy=4

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

A: The given integral,∫61-t2dt

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: 3 Let f be a function with third derivative f (x) = (4x + 1) 7. What is the coefficient of (x – 2)* ...

A: Explanation of the answer is as follows

Q: Let a = ci +j and b 8i + 6j. Find c so that the angle between a and b is Round your answers to four ...

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Q: Evaluate the improper integral e-1/x dx

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

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Q: 1- cos?t lim t-0 t

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Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6) ...

Q: 15. х*у' + 2ху 3 In x, у(1) — 2 %3D

A: Please refer to the image below 

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: Determine where the function is (a) increasing: (b) decreasing, and (c) detormine where relative ext...

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Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

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: Solve (cosxcosy-cotx)dx-sinxsin?ydy=D0. O sinxcosy=In(ccosx) sinxcosy=-In(ccosx) sinxcosy=In(csinx) ...

A: Let's find. 

Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from...

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Q: equation

A: We will find the equation of the quadratic. 

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about...

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin x on [- 7,7] Select the c...

A: topic - application of derivatives

Q: 2. * S cos³y sin'y dy cos 2y cos 2y + C 48 cos 2y cos 2y 16 16 48 cos 2y + c 48 cos 2y cos 2y + c 48...

A: For the solution follow the next step.

Q: Find the surface area generated by revolving about the y-axis the curve x² – y? = a² from y = 0 to y...

A: We have to find the surface area generated by revolving about the y-axis.

Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

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Q: Activity 3: Find and simply the result, if possible. a. y = V - b. y = x² + n² + x* C. y = x² secx s...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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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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