Suppose f(x) is continuous and increasing on [a, b], and concave up on(a, b). ISM6 (the Midpoint Rule approximation to f(x) dx with n = 6) an over-estimate or an under-estimate? Over-Estimate. O Under-Estimate. There is not enough information to decide.

Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

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

Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

A:

Q: 7. y= tan e+ e

A: This is a problem of differentiation of the function. By using general formula of the differentiatio...

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

A:

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

A:

Q: A certain radioactive isotope decays according to the formula A = Age-0.0274€, where Ao is the amoun...

A:

Q: Evaluate 2.014 using a linear approximation or differential. Enter the value rounded to the nearest ...

A:

Q: dx

A: Given problem:-

Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

A:

Q: =[in(4-x cos (r4

A:

Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a...

A:

Q: A solution to the trigonometric equation 2 sin² x = 2 – - V3 cos x i. 90° ii. O° iii. 30° i only i a...

A: Given: 2sin2x=2-3cosx   As we know that; The Pythagorean identity; sin2θ+cos2θ=1    

Q: Use Simpson's Rule with n = 4 to estimate the average value of %3D f(x) = 2ª on the interval [1, 9].

A:

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A:

Q: 10x + 1800 The average cost for a company to produce x units of a product is given by the function A...

A: Given: Average cost for a company to produce x units of a product is given by a function A(x) =( 10x...

Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Find r²e* dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: The graph of a company's marginal profit P'(t) at month t is shown over the interval [0, 42] a. On w...

A:

Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

A:

Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: Substitution Method (15) (x² – y²) - xy = 0

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

Q: Q 1) Find an antiderivative for each function. S dt : a) S (1 – cot? x) dx b) +2) dx

A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: The population density r miles from the center of a certain city is p(r) = 5e 0.1r people per square...

A:

Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: +00 Σ 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3&lt;1n2checking c...

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A:

Q: $ Solve and convert to rectangular form. ti sin sin )

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 2sm x-1 2. y= COST+2

A:

Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

A:

Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The vec...

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

A:

Q: use second derivaictive to find derivaitve 1 Crihalralues -3 and I (-a3) V(I, I'ntervals ofinerease ...

A:

Q: Check if the following is true or false: (x² + 3)dx = 18 %3D

A:

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

A:

Q: To evaluate the average value of the function f(x) 1- 3e* over the interval [1, 6] which of the foll...

A: The detailed solution is given below Thank you 

Q: Verify that the series Σ n +1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A: The given series ∑n=1∞nn4+1

Q: 2. A rocket is launched in the air. Its height, in meters above sea level, as a function of time, in...

A: Given that a rocket is launched in the air. Its height , in meters above sea level as a function of ...

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

A:

Q: Let bn and Cn for all n e N such that n > 2. Determine whether the given n = COS = COS n – 1 series ...

A:

Q: 2. Evaluate lim -4x+1 X-1 x-1

A:

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: