Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: y par e for JTx (inx)? dx. wtioni dv = %3D

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Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x- in...

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Q: 1 2 Find the maximum and minimum values of the function - 6x + 8 - 2 2/3

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Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

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Q: Find the angle, 0, that is cotermimal with 20T where 0 < 0 < 2T. Find the angle, 0, that is cotermim...

A: Coterminal Angles are angles  both have same initial side and terminal sides. To get coterminal angl...

Q: Find the direction cosines of the vector v = (2, –4, 4) %3D

A: The given vector v→=2,-4,4

Q: Solve the given differential equation. All solutions should be found. (8y" + 20°y) dx – (7xy° + x") ...

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Q: В. up to 6 decimal place. Then, answer the corresponding question in each number. Evaluate the follo...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

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Q: If f(x, y) = x cos y + ye", find dydx

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Q: Find the inflection points of each of the given curve.  3y = x3 + 3x2 – 9x + 3

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Q: Use the given values to evaluate (if possible) all six trigonometric functions. (If an answer is und...

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Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Use Newton-Raphson's method to determine the root of e^x sinx = 1 up to 15% error estimate. Use init...

A: ----------------------------------------------------------------------------- fx = exsinx-1f'x= exsi...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

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Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Evaluate the following integrals. 1. 4x sec .3 -1 x dx

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3 fra)...

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: Let f(x) = 2x? – 7x + 11 The slope of the tangent line to the graph of f(x) at the point - (5, 26) i...

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Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: 2 SET UP AN INIELLAL foRmULA fer Tte VOLume uf THE ScaO 2 C-ÉNELATEN UHEN THE RACIION BOUDEO BY Y=x,...

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Q: Please answer. Numbers, holes, and shaded circles should be clearly seen. For each specified discon...

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Q: Answer the following True or False: 3 and f(7), S() Is horizontal at z C. 3. Then there exists a c L...

A: According to Rolle's theorem- If a function f(x) is differentiable from x=a to x=b. And the values f...

Q: Prove that ∀n ∈ Z, gcd(7n + 1, 15n + 2) = 1.

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Q: Consider the function f(r) - 6. 6x on the interval 4,5. Find the average or mean slope of the functi...

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Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. n→+∞ N

A: Given sequence {xn} is bounded we want to show that  limn→+∞xnn=0 we  use the limit limn→∞1n=0

Q: Use technology to evaluate the given expression. Take 1.6 7.3 1.4 -2.39 5.1 A = and B = 5.5 0 44.8 1...

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Q: • f(x) = -1 when r 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is ...

A: (i) We can take fx=x+1-2≤x≤0-12x+10≤x≤2. Note it is obtained by connecting the known points via line...

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second poli...

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Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: 7) fouo momEUT THE Mss, THを momet Adout X-4XIS, Aんの 2 A BOLT Y-AXTS of RLJOU Boun DEp By THE メート Dev...

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Q: Jse any method to determine whether the series converge. 11 = Σ VR+1 k=1 This series converges. cos(...

A: This is a problem of series calculations. Based on limit comparison test we can find out answer of a...

Q: Isin ()

A: 72sin(π5x) =75xnow here there are two curves  y =72sin(π5x) →(1) y=75x  →(2)solving by graphical met...

Q: Evaluate the definite integral. 1 e? + 6 dz Jo ez + 6z

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west a...

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Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...

A: Given:      fx,y=3x3y2-7x2y+5x-4y   a) fxyx,y:     fxyx,y=∂2∂y∂x=∂∂y∂∂x      fxx,y=∂∂x3x3y2-7x2y+5x-...

Q: olve a nonlinear equation by making a change of the dependent var portant such equation has the form...

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Q: sinr f(x)=(x)'

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Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at t...

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Q: Start with two views of an object and draw a partial auxiliary view of the inclined surface in the f...

A: There views are shown Top view Partial Auxillary View Front view

Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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Q: Make 3 unique examples of domain and range in real life scenarios. Please highlight the domain and r...

A: To write: 3 unique examples of domain and range in real life scenarios.    

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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