Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

Q: 77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a differentiabl...

A: Consider a function y = f(x) .Then f '( x0) is the rate of change of y with respect to x at the poin...

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: We have to find maximum profit so we find first derivative

Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

A: Given:-s(t)=-2t33+4t2-6t-3   for  t≥0velocity, v(t)=ddt-2t33+4t2-6t-3 v(t)=-2t2+8t-6

Q: Linear Approximation (Level 1) Mar 20, 10:00:24 PM Watch help video Let f be a differentiable functi...

A: Given query is to find the value of f(4.2).

Q: O Watch help video A particle moves along the x-axis so that at time t 20 its velocity is given by v...

A:

Q: 1. f (х) — 5ӕ -4

A:

Q: ſcos^3 (x) sin (x) dx, For the indicated integral, what would the first step be? * Add one to the po...

A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: The curve y=lnx, 1≤x≤3, rotating about x-axis

Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: esecx+lntanx -dp- 9. cos x

A:

Q: 2.) Find 1st derivative of y = e-'In (x-1)

A:

Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8 ...

A:

Q: The figure shows the region of integration for the integral. P(x, y, z) dz dy dx Rewrite this integr...

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: f(x) = x* – 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all c...

A:

Q: b. (2,1)

A:

Q: Watch help video A rectangle has a length of 7 inches and a width of 11 inches whose sides are chang...

A: topic- application of derivatives

Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

A:

Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: I. Eliminate the arbitrary constants. 4. xsiny + x²y = c 5. (x – a)2 + y2 = a? %3D

A: As per bartleby guidelines we only give first question answers. 

Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: Determine the interval of convergence of -1)"+12nx"| n2 + 3

A:

Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

A:

Q: Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  = ...

A: The objective of the question is evaluate the given composition of function at given point.

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

A:

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x)

A: Here we have to find the maclaurin expansion of the given function.

Q: 12x e-y with x 20 and an initia. Solve the initial value problem condition y(0) = 1.

A: Topic = Differential eqaution

Q: 5x dx J 4x+12x²+9x³

A: On solving this we will get:

Q: INTEGRATE THE FOLLOWING (use integration techniques) -2y dy 2. Sy'e-24 dy

A: topic- indefinite integral

Q: 4. The goal of this problem is to show that x² Q(x) = 1+x + is the quadratic approximation to f(x) =...

A:

Q: cotx da cos I da sin r 3.

A:

Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: Please answer number 1 and 2.

A:

Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

A:

Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: 2. Consider the series E (In(2n + 1) – In(2n – 1)) . n=1 (a) Let a, = In(2n +1) – In(2n – 1). Does {...

A: The given series,             ∑n=1∞ln2n+1-ln2n-1

Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: 2sin x -1 2. y = cosx+ 2

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

Q: Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

A:

Q: X- 3/ = 12

A:

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

A:

Q: A famous leaning tower was originally 186.5 feet high. At a distance of 128 feet from the base of th...

A:

Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

A:

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A:

Q: 1. Sand is being poured into a conical pile in such a way that the height is always one-third of the...

A:

Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: x2 dx | (a3 + 2x²) da 3 + 3x2 + 1 dæ

A: