13. Differentiate the following functions: a)y=e(cosx+sinx) b)y=(x²)2* c) y= tan’(cosx)

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: 3. Consider the function f [-1, 3] → R defined by f(x) = x². : A. Estimate the area between the…

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Q: (b) Show the following. Two mappings f:X→ Y and g:X→ Y are said to be equal (and we write this f =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose the coefficient matrix of a linear system of eleven equations in eleven unknowns has 11…

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Q: Differentiate y = 5* sec (e*). A5' sec (e) [e'tan (e)-In 5] 5³ln 5 sec (e^³) [tan(e¹) +1] 5*¹sec…

A: y=5xsec(ex)d dx(ax)=axlnad dx(secx)=secxtanxdexdx=exd dx(a.b)=adbdx+bdadx

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyz + xz²j + 5yz²k; (2,…

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Q: Find the function whose derivative is 3x + 3xx ln 3. A 3x² ® 3xx B Ⓒ 3* log3 x Ⓒ 3x+1 D

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Q: [D1a] Find the derivative of f(x) = 2x log3 (3x² + 2x + 1) Show your work, but you do not have to…

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Q: 21. lim t→0 e5t t 1 t = ±0.5, ±0.1, ±0.01, ±0.001, ±0.0001

A: We have to find the limit limt→0e5t-1t, using the given values.

Q: Given w = 1. Find y 27 In z 83 w дхдудz

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Q: Let f(x)=e*2, find f'(x).

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Q: 10. Logarithmic function is the inverse of * exponential function.

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Q: Find lower and upper bounds for the area between the x-axis and the graph of f(x) = √√x + 2 over the…

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Q: The graph of y = J (x) 10+ 9 8 7 6 5 4 T 3 2 + 10-98-7-6-5-4-3-2-1-₁ -2 -3 --4 -5- -6- -7- -8 -9 10…

A: The answer is in step2.

Q: A runner sprints around a circular track of radius 130 m at a constant speed of 7 m/s. The runner's…

A: To find the distance.

Q: The boundaries of the shaded region are the y-axis, the line y = 14, and the curve y = 14√x. Find…

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Q: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √√0.4² +2,…

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Q: 14. Two vectors, a and 6, have a common starting point with an angle of 120° between them. The…

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Q: Find the Solution logx16 = 2

A: Solution: logx16 =2 Apply log rules 1log16(x)=2

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: X 0 1 2 3 4 5 y…

A: We can find the function values by using the function properties.

Q: The graph of f(x) is given below: -6 X=-3 At what points is f(x) continuous? (Choose all that…

A: Solution ) from the given graph  Graph is is not continous at  x = -3 , -2 ,  0 , 2 , 4  Exclude…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 14 cm/min.…

A: Let radius = r Volume = V As we know that V = 43π( r )3 Given  drdt = -14cmminAt any time t , r= 10

Q: Below is the graph of a function f. ● 8- -6-4-2 6+ 4+ 2 -2+ 6 Use the graph to determine all the…

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Q: 18. A loan of PHP 75,000 with 3.5% interest rate compounded semi annually, will be paid in 2 and…

A: we need to find out the interest by using the compound interest formula.

Q: Write the slope-intercept equation of the line passes through (2.2, 6.4) and is perpendicular to the…

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Q: Sketch the following piecewise functions and determine whether each function is continuous for all…

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Q: Identify the level curve of the function f(x, y) = ey for c = 6. Write your answer in terms of y as…

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Q: At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of…

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Q: Question 4: A damped oscillator has displacement, s, given by s = e-kt cos(wt) where w is the…

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Q: Evaluate (5²+2-4)² O 628.31 O628.13 O 682.13 O 623.18

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Q: Find the value of A B 3 16 fy' if y 314 3 16 In x =e4. when x = e X

A: according to bartleby we do only first part of multiple questions y=xlnxd dx(lnx)=1xd…

Q: dy Find given that dt x² + y² = 3x + 5y, x = 4 y = 1, and dy dt i ! dx dt = 12

A: We have to find the value of dy/dt .

Q: Use cylindrical shells to find the volume of the solid formed by rotating the region bounded by y =…

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Q: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: Find all values of x at which the function f defined by f(x) = x-5 ²-7x+12 is continuous, expressing…

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Q: f(x) = (x²+3, x<-3 8x+1, -3 < x < 5 B 5 <x m_f(x)=¯ f(x) = [ -3- lim_f(x) = 2-3+ lim f(x) = 2-5+…

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Q: Section 4.3 Find the derivative of the following functions. Write in ready format first if…

A: 1) The given function fx=5e7x. We have to find the derivative of the function. Note:  Since you have…

Q: 3. * Find the Solution Set 42x+7 322x-3 [29 29 29 1) ²00₁ +00) B) - ²00₁ +00) () (-00, ²00) D) (²3,₁…

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Q: Determine which of the following could be the graph of f near the origin when f(x) = 1²-1-2 H-2 4, 1…

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Q: Identify the initial quantity in this exponential function. P(t) = 3.6(1.04) 25 Select one: O 0.25…

A: A detail solution is given below.

Q: Find the infinite limit: lim a secr 7m+ Answer:

A: Given :limx→7π2+xsecx

Q: 20. . Kenneth wants to have PHP 5,000,000 in his account when he retires in 25 years. The retirement…

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Q: Find the area of the shaded region. 3- 1 -1- 2 05 y=2 15 y=2 sin(xx) 25 OA. 4+/ OB. 4 4 O C. O D. 8

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Q: . Determine whether the following series converge or diverge. State the test you used, and explain…

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Q: 18. A loan of PHP 75,000 with 3.5% interest rate compounded semi annually, will be paid in 2 and…

A: Given principal ( P ) = 75000 Rate ( R ) = 3.5 % compounded semi annually time ( t ) = 2 and half…

Q: 66. Physics The path of a diver is approximated by www. = -x² + x + 12

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Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =…

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Q: 2. * A) x 1 3 Find the Value of x 162x-3 = 4x+2 B) x = 1 O A О в О с O D O None of the Above 813 C):…

A: To find the value of x. 162x-3=4x+2

Q: 2. Simplify the following expressions, justify your answers. 13π (a) sin¯¹(sin ¹3″), 13п (b)…

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