sinx (a) h(x) = tan(x² sin.x) (b) y= V1+cos.x

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A: f(x)=6sinx+6cosx

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A: (a) is converge  (b) is diverge (c) is converge see below the explanation  as per bertleby guideline...

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A:

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

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A: Asked to answer the first question.

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

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A:

Q: find the Domain and Range 1. f(x)=/2-x 2. f(x)=\x|–3 2x 3. f(x)=- r-1 4. f(r)= 2r-1 3x+9

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

A: We use shells method to find the volume.

Q: 2. Use the appropriate integral theorem (and state which one you are using) to evaluate Lr*y dr – ry...

A:

Q: --2 -3- [ f(2)dx = f(x)dæ = to

A:

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A:

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: Question 8. Compute the indefinite integral using integration by parts. In xdx

A:

Q: Determine the indefinite integral (do not include the "+c" and do not include absolute value symbols...

A:

Q: 4. a² + 3x – 5+ 3y* – 6y = 7z 5. Gy" – 9r = 8y + 2 – r 6. z - V5r² – 7 = 2r

A:

Q: If f is a probability density function of a continuous random variable x over [a,b], then the median...

A:

Q: Is f(x) = x2 an even or an odd function? What symmetry does its graph exhibit? Is f(x) = - 1 an even...

A:

Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

A:

Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D...

A: To find the derivative of the given function using the chain rule, which is: h(x)=f(g(x))⇒h'(x)=f'(g...

Q: Find all vertical and horizontal asymptotes for the function h(x) given below. Write yo answers as l...

A: Here we have to find the equation of all vertical and horizontal asymptotes. The given function is h...

Q: ()- In(x) C. lim %3D

A:

Q: •f(0) = 4 •f is decreasing and concave up for - 6 4

A:

Q: A car is moving at a constant acceleration of 3.2 m/s away from a tree. At t =0, the car is 14 m awa...

A: V= V0 + at ...(1)t=2V2 =8.5 m/sa=3.2  ms2From equation-1;8.5 =V0 + 3.2 (2)V0 =2.1  m/s 

Q: Find the volume of the solid obtained by rotating the region bounded by y = = a°, y = 1; about the l...

A:

Q: The function A = Age1 models the amount an individual owes a credit company t years after some initi...

A:

Q: X+Z4-てて-5 二メ -34ト42:9 2メーツ tて。

A:

Q: A town has a population of 350,000 in 2005, if an annual growth of 5% is observed until year 2020. A...

A: .

Q: Set up the definite integral(s) equal to the arc length of the curved defined by the parametric equa...

A: Use the formula of arc length in parametric form and simplify. 

Q: Use the chain rule to find the derivative of f(x) = 2( – 72* – 8z*) 4 You do not need to expand out ...

A: Given: f(x)= 2(-7x8-8x5)14

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: Use the Limit Comparison Test to determine whether the series converges. +6 Σ 3 k 1 Vk +4

A:

Q: I, explain why BTB must be symmetric for any n × m matrix B. (If yo

A: We will prove that the matrix Is symmetric as following.

Q: Ser sed d tanr dy

A:

Q: I - 4 The lim I+2 VI 2 method must be applied? must be simplified to lim (VI + 2) in making the valu...

A:

Q: Find any intercepts Y=x- 49x Step 1 To find the y-intercepts, let x be zero and solve for y. y (0) -...

A: Given query is to find x and y intercepts.

Q: avã = 16 + - 10 +0 x'dx V(x² – – 16) + C Vx² – 16

A: Note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: If f(1) = 12 and f '(x) ≥ 1 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and different...

Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

A:

Q: The coefficient of sin(x) in the antiderivative of F(x)=|

A:

Q: Find the Taylor series for f(x) centered at 5 if fln)(5) - (-1)^*1 (n²+4) nl

A:

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

A: Find your answer below 

Q: 4. For infants less than 9 months old, the relationship between the rate of growth R (in pounds/mont...

A:

Q: Cones ider funcho s fa)= 4/x-2J two important opeN intervals There are -0,A) and (A, ) where A is a ...

A: Solution is given below..

Q: Activity II Direct ona: Match each solid figure in column A with its surface column B. Write the cor...

A: We will find the surface area of all the five solid figure as following.

Q: Find d^2y/dx^2: y^3=6x^2

A:

Q: Find the absolute maximum and absolute minimum values of the function f(æ) = #³ – 12æ + 4, on the in...

A:

Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

A: I am attaching image so that you understand each and every step.

Q: sider the parallelepiped with adjacent edges u = 7i + 7j + v = i+j+ 3= w = i+ 7j+ 5 the volume. i

A:

Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0) Hol...

A: Given data÷