Use the chain rule to calculate the first derivative of the following 19. (2x + 6)3 20. In (3x - 2) 21. e2x

Q: (n° -9n? +16n-8)÷ (n-7)

A:

Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

A: Permutation

Q: 5 | (2a3 + 5æ – 4) dæ

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2*, y =…

A: We will find the volume of the solid that results when the region enclosed by the given curves is…

Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: Evaluate the following limits if they exicts, show complete solution.

A:

Q: Find the derivative of y = 4x 2 Be sure to include parentheses around the arguments of any…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x>=a The function 1/(x-a) is continuous iff x≠a

Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i + 2 sin(t)j + tk, 0<t< 2n L =

A:

Q: Find the value(s) of k that makes the given function continuous. f(z) = { S-3z +4 if r <k -I+3 ifk…

A:

Q: 9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

A:

Q: 6. Solve the following differential equations: y'=e"(1+ y* ) a. 2+(y+2)x* =0; given y(-1) = 2. b.…

A:

Q: Calculate

A:

Q: Sketch the region enclosed by y = 7x and y = 3x". Find the area of the region.

A:

Q: 1.) Determine the largest interval over which the function flx) = \x+3 is continuous. 2x 2.)…

A: 1) To find the largest interval on which the function f(x)=x+3 is conitnous.

Q: Evaluate the integral (Trigonometric Substitution) 1 (a²x6 – x8)Zdx

A: To find  the  value of given integral.

Q: sec 3xtan3x dx

A:

Q: The function f(x) = 4 + 6x + 54x has one local minimum and one local maximum. This function has a…

A:

Q: sec®3xtan3x dx

A:

Q: valuate the integral 3t3 (t2 + 4)5 dt

A: Given problem:- ∫ 3t3(t2+4)5 dt

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

A:

Q: Does the series diverge? Converge or tin ta)^

A: We need to determine if series converge or diverge.

Q: The functiof(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept is…

A: Solution: f(x)=x-2x3 a) Domain :  take the denominator and compare it to zero x3 =0 =&gt; x=0

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: A small radio transmitter broadcasts in a 25 mile radius. If you drive along a straight line from a…

A:

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

A:

Q: 北13 find the the Value an equation Curve at the Value for the line tangent to Point defined by of t.…

A:

Q: ´ 1/x? sin x lim x>0

A:

Q: Sketch the region enclosed by a + y = 42 and a + y = 0. a) Favoring convenience, should you…

A:

Q: Describe the graph of the equation. r = 19 sin 2t i + 19 cos 2t j O It is a circle of radius 19 in…

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x - c² and y = c – a is 60…

A:

Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

A:

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

Q: Solve: (2y cos x + sin* x) da 4 = sin x dy O y csc x + cos ¤ = O y csc x – cos a = C O y csc? x +…

A:

Q: y²dx + (xy – 1)dy = 0

A: First of we will check whether given DE is exact or not

Q: Evaluate the indefinite integral sin? v cos" vdv =

A:

Q: Let f(x, y) = 2x2y + 3xy. Use the (limit) definition of partials derivatives to show that fx(x, y) =…

A: This question is related to Partial derivatives, we will solve it using given information.

Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

A:

Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: A. For the following power series determine the interval and radius of n+1 convergence.a (x - 2)"…

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

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x +1 at (6, -2)…

A:

Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

A: 2 critical points

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: (2а3 + 5x — 4) d

A: