4. sin x dx

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: The side lengths for AABC below are a, b, and C. The height of AABC is h, Fill in the blanks using…

A:

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: Solution is given below:

Q: Find the derivative/s of the given item. Final answer should be simplified. dy Find dx if yvx – 8 =…

A:

Q: homogeneous

A: We have to solve the given differential equation according to the given information

Q: e20 -do 1+ 3e20

A:

Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: Find f(100)(x) if f(r) = (x + 2)100. a. 0 c. 100! = 100 x 99 x 98 x 97 x ... x 2 x 1 b. 100 d.…

A:

Q: Determine whether it is True or False does not converge (a) If an 20 for all n eN, then…

A: Comparison test: Let ∑n=1∞an  and ∑n=1∞bn be two series such that an≤bn ∀n∈N If ∑n=1∞an divergent…

Q: 1 Given that 1 1 with > x" with convergence in (-1, 1), find the power series for - r. n=0 center 3.…

A:

Q: Osyt . yrosx

A:

Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

A:

Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

A:

Q: +0 (-1)"n" sin' Σ n 2n n=1

A:

Q: +oo Consider the power series 22n (2x – 1)". n=1 Determine the radius and interval of convergence of…

A:

Q: + inf 1 п2 — Зп + 2 n=3

A:

Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

A:

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

A:

Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

A:

Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

A:

Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

A:

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that Integration power rule is Integration of xn is xn+1/n+1+C  Here C is integration…

Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

A:

Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

A: The area inside a polar curve ro=g(θ) and outside the polar curve ri=f(θ) is given by…

Q: f(x) = 2"[In(cot(x³))]5

A:

Q: Determine whether the following series is convergent or divergent 3- Vn (a) 2 n=1

A: The given series is: ∑n=1∞3-n4n34,an=3-n4n34, n≥1f(x)=3-n4n34

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

A:

Q: tan- (n) Σ Consider the series 1+ n2 n=1 Show that the given satisfies the condition of integral…

A:

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A:

Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: Q3) Evaluate triple integral S S dz dx dy . x-y

A: ∫02∫0y∫x-yx+y dzdxdy ∫02∫0y [z]x-yx+y dxdy ∫02∫0y(x+y - x +y)dxdy ∫02∫0y 2ydxdy ∫02 (2y)[x]0y dy ∫02…

Q: (-1)" Σ Given: sin = x²n+1 for x E R (2n + 1)! n=0 (-1)"(2n + 1) 4" (2n + 1)! Compute the exact…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The thickness of the shell is a = 0.5 centimeter. Use differéntials to approximate the volume of the…

A:

Q: Use the properties of logarithms to expand the following expression. xy log Each logarithm should…

A:

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

A:

Q: ralue of (2) for z= 2.36. (note: use 2 decimal places)

A:

Q: check if the series below is convergent or divergent, thanks!

A: This question can be solved using the concept of alternating series test.

Q: Determine the sum of the following series. (– 4)" -1 6" n=1

A: To find the sum of ∑n=1∞ -4n-16n   ∑n=1∞ -4n-16n = -41-161+-42-162+-43-163+-44-164+....⇒∑n=1∞…

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

A:

Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: 10. [ tan 0 de 12.f cos do 3

A:

Q: There are true statements of f(x) = 5(x4 – 4x³) , except ... Pernyataan yang salah mengenai kurva…

A:

Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

A:

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

A: