2r) de 4 a. (4r-2r) dx

Q: 4^3/2 in two ways

A:

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: Answer and explanation is given below

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round...

A: To find θ, use the inverse trigonometric function. tanθ=1θ=tan-11

Q: Please solve 21. and Show how to get the critical number set to 0.

A: Differentiate the function fx=x2lnx2 with respect to x, to find f'(x). fx=x2lnx2f'x=x21x212+lnx22x=x...

Q: Find the two points on the curve y = x4 − 2x2 − x that have a common tangent line:

A: Obtain the derivative of y as shown below: dydx=ddxx4-2x2-xdydx=4x3-4x-1

Q: - Show that f(x) is continuous at x = 1. f(x)

A:

Q: 33. At what point(s) the tangent line have slope ? on the curve x = 3t² + 1, y = t³ – 1 does

A:

Q: R’(t)=?

A:

Q: Find a cofunction with the same value as the given expression cot π/12

A: Cofunction:       A trigonometric function whose value for the complementof an angle is equal to the...

Q: Use implicit differentiation to find dy/dx of xy= cot(xy)

A: Givenxy= cot(xy)

Q: Find the cartesian coordinates of the point (-5, -pi/6)

A: Answer and explanation is given below...

Q: Determine whether the following series converge. Justify your answers.

A: The given series is ∑k=1∞tan-11k. Let uk=tan-11k     and  vk=1k. This implies that, limk→∞ukvk=limk→...

Q: show that the given vector functions are linearly independent on (−∞,∞).

A: We need to show that the given vectors are linearly independent on -∞,∞ x1t=t+1t-12t,    x2t=ete2te3...

Q: Thanks

A: Compute the limit as follows. limx→-1x2-1x+1=limx→-1x2-12x+1=limx→-1x+1x-1x+1               ∵a2-b2=a...

Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

A:

Q: True or false: f(x + h) = f(x) + f(h)________

A: According to the question , we have to check the given statement fx+h=fx+fh, if it's true or false. ...

Q: The graph of g(x) = log3(x + 5) is the graph of f(x) = log3 x shifted_______.

A: Given: The function gx=log3x+5 and the function fx=log3x To compare: The graphs of given function.

Q: The graph of a logarithmic function is given.Select the function for the graph from the following op...

A: Consider the provided graph, So, the graph of the function is fx=log3x.  

Q: (Multivariate calculus.  please see image attached)  Partially differentiate the following equation ...

A: Consider the equation  Y=ex12+x2  

Q: Calculus Question

A: derivative of sec(x) is sec(x)tan(x) also we will apply chain rule of differentiation here dydx=dsec...

Q: 5-

A:

Q: y y =x 3 y=2 x+ 16 (1, 6). 6. 4. (2, 4) (-2, 4) 2- y = 8-2 x -4 -2 4 2)

A:

Q: Add or subtract . [(3/x + 1 )-(3/x)]

A: Given3x+1-3x

Q: Find the first four nonzero terms of the Taylor series for the functions (1 - x)-3

A: Taylor series: f(x)=f(a)+(x-a)f'(a)+(x-a)22!f''(a)+(x-a)33!f'''(a)+...

Q: do the following.a. Set up an integral for the length of the curve.b. Graph the curve to see what it...

A: Given: The equation of curve, y = sin x - x cos x, 0 ≤ x ≤ π

Q: The Peanuts cartoon (see figure) expresses a common feeling regarding chain letters, Consider the to...

A: Consider the given data, 1st mailing: 6 2nd mailing: 6 + 36 = 61 + 62 = 42 3rd mailing: 6 + 36 + 216...

Q: Number 6

A:

Q: x2-x+k 5. For what value of k does lim- exist? x→3 x-3 А. З В. 1 С. —6 D. -12

A: Here for the limit to exist the denominator must completely divide the numerator or you can say the ...

Q: Use implicit differentiation to find dy/dx for e"ʻy = 2x + 2y

A: we have  ex2y=2x+2y  

Q: Determine the series converge or diverge.

A:

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x...

A:

Q: f(x) =x/(x + 5), g(x) =6/x.Find: a. (f ∘ g)(x)  b. the domain of f ∘ g.

A: The given function is, fx=xx+5gx=6x

Q: Let sin t = a, cos t = b, and tan t = c. Write the expression sin(-t - 2π) - cos(-t - 4π) - tan(-t -...

A: Consider sin-t-2π. sin-t-2π=sin-tcos2π-sin2πcos-t                   =-sint1-0cost                   ...

Q: Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos (32°) – sin...

A:

Q: Find the vertices and foci of the ellipse. x2 + 3y2 + 6x – 18y + 33 = 0 vertices (x, y) = ( 3 – V3,3...

A: x2+3y2+6x-18y+33=0 On simplification, we get ⇒x2+6x+3y2-18y=-33⇒x2+6x+9+3y2-6y=-33+9⇒x+32+3y2-6y+9=-...

Q: 9. Find the horizontal and vertical asymptotes of the following function: f(x) = Vax?+1 3x-5

A: Given function,

Q: Simplify and write the resulting polynomial in standard form and indicate its degree. (17x3 - 5x2 + ...

A:

Q: I will appreciate a detalied explanation, so I can do similar exercises. I am struggling on how to u...

A: Consider the equation

Q: Find the general solution of the following differential equations. Answers 1 and 2.

A:

Q: Siven the graph of f(x) below, what is the open interval(s) over which f'(x) is negative -6 ... 3 2 ...

A:

Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Parallel planes Determine the equation of the plane parallel to the xz-plane passing through the poi...

A:  xz-plane is given by the equation is y=0. Any plane parallel to xz-plane is of the form y=a for som...

Q: Write an original problem that can be solved using the Law of Sines. Then solve the problem.

A: Problem. Consider the triangle ABC with b=7,∠CBA=35°,∠BCA=105°. Find c.

Q: For the function f(x)=2x-3sqrt(x), explain whether the Mean Value Theorem can be applied to f(x) on ...

A: