Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: Find the curvature of the twisted cubic 7(t) = (t, t, tº) at the point (0, 0, 0). А. О В. 1 С.2 D. 3...

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Q: Given r"(t) = , r'(0) = and r(0) = . Find the k-component of r(2). Leave your answer correct to two...

A: We have to find k-component of r(2)

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: 3x lim The limit 2 x-2 (see graph) is

A: Here, to find the given limit: limx→2+3xx-2

Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following fo...

Q: plane is flying directly away from you at 500 mph at an altitude of 3 miles. How fast is the plane's...

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Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: f(z+h) f(x) For f(z) = V71 + 37, find f '(z) using the definition f '(z) h this, find the tangent li...

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Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the ...

A: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the ...

Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

A: Find your answer below 

Q: -x? + 5x + 14 Evaluate lim x--2 -5x2 – 2x + 16 Submit an exact answer. Provide your answer below:

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Q: Use the given graph of the function to find the z-values for which f is not differentiable. 1.A Answ...

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below 

Q: 2/3 if fox)= 3x- point A(8,2) to B (27,17) l0, find the length of the graph of f frome

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Q: Evaluate lim -2x csc (-5x).

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Q: Evaluate and graph the following: 1. lim(4 x) X-2 (x²-2x-3 lim 2. 海() x-3 x-3

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Q: 2. Acylindrical tank with radius 5m is being filled with water at a rate of 3 m'/min. How fast is th...

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Q: 1.84 We call pa cluster point of E, provided that for all e > 0 there exists e e E such that 0 0 th...

A: We have to show E has no finite sub cover. 

Q: Calculate slope and show it. show calutions Time in seconds: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7,0...

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Q: get

A: We will find the rate of change of value. 

Q: Find the solution of the given initial value problem in explicit form. sin(2r) da + cos(6y) dy = 0, ...

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Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

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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 graph of f(x) shown below to determine each of the following limits. If any of the limits do...

A: Let's find. 

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: Let F(x) = f(x) + g(x), where the graphs of f and g are shown in the figure to the right. Find F'(3)...

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Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: 2x -dx e* +1 Evaluate the integral of A e*- In(e*+1) +e B '+ In (e* + 1) + c © e*+ In(e*+1) +c D In ...

A: Given problem:-

Q: 구 1- %3D -7 -6 -5 -3 -2 -1 4 5. 6 -3 -5- -6- -7-

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Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: Use geometry (not Riemann sums) to compute the integral. dx 3 Enter a pumber

A: The given integral is  ∫12 x3dx

Q: 8x+1 Evaluate f dx using algebraic substitution V4x-3

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: 5. Given that r(t) = 3i + e* sin tj + e cos tk Find equations of the normal plane and osculation pla...

A: We have to  find equation of normal and oscillating plane of above curve. 

Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: 1 =dx x+v cos(2x) > [1] S > [2] S dx sinx+cosx

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Q: Which of the following is the general solution to the differential equation 4xyº = -x² – y² for x> 0...

A: The differential equation is given as , 4xydydx=-x2-y2 find the general solution.

Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of Alg...

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Q: Answer the question below: The student should find the local linear approximation of a function in t...

A: Let's find. 

Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy...

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Q: 42. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: The curve y = f(x) has a y – intercept of 3. The tangent to this curve at the point (x, y) has an x ...

A: Based on x and y intercept value we will find out equation of the graph. 

Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...

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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-...