Use the formula for the binomial series: mm-1)2 ** (1+x)" = 1+ mx + m( m1)---(m-k+1), k! + ... 1+ £= ,- m-1)-(m-k+D if 지

Q: The base of a solid sitting on the ry-plane is the region enclosed by the curves y = c* , y= e$ and ...

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Q: One of the following series is convergent. A) E-1(-1)" 21 3n+1 100 2n B) E1(-1)" 3n+1 C) (-1)" 100 3...

A: We have to check whether the given series are convergent or not. To check convergence we use Alterna...

Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

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Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: (e) /a (с) dx e2x 2.х

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Q: dx (a) : x2 + 4 .2

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

Q: f(g(x)) u= g(x) y = f(u) y = (3x - 9)3

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Q: 10.fx'e'dx Task #2: Solve the following integrals of power of sine and cosine, tangent and cotangent...

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Q: A B А - R B Matrix becomes C D с D-R

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Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: Find Ay and f'(x)Ax for y = f(x) = 3x° x= 2, and Ax = 0.08.

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Q: se the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. D...

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a tab...

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Q: Let q > 0. The integral 1 %3D (4x + 3)5 8.

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Q: a. F(x, y) = (x – y, x + y, z²)) b. F(z, y) = (2xy", 3x²y) O . F(r, y) = (1+ ysen(x), 1 – cos(x))

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Q: Determine f(x) so that cos(In?x) f(x) dx = sin (In?x) + c 2 In x A 2 In x 2 In x D

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Q: 24. A particle moves along the curve y particle passes through the point (4, 1), its x-coordinate in...

A: We have to find how fast is the distance from the paryical to the origin changing at this instant in...

Q: Find a curve that passes through the point (1,3) and has an arc length on the interval [2,6] given b...

A: Given: a curve passes through the point (1,3) and Arc length given  Find: curve

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R ...

A: Given query is to add -R in diagonal of matrix.

Q: cot 2x csc42xdr Evaluate: /2-3 cot?2x

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Q: Evaluate the integral 4x4 – 12x2 +7 xdx .

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Q: cot 2x Evaluate the integral dx . V cor²(2x) – 15 csc (2x) A ·Arcsec 8 + C 4 -- In |cot (2x) + Vcot²...

A: The given integral is: ∫cot(2x)cot2(2x)-15dx Substitute cot2(2x)-15=t          ....(1) Fromm the tri...

Q: From a point 525 feet in horizontal distance from the foot of a vertical cliff, the angle of elevati...

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =...

A: Given: y=x4 and y=27x

Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: Express tne repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A: Here we have to write the repeating decimal as a fraction.

Q: Find the arc length function for the curve ř(t)= (cosht,sinht,t) taking a=0.

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Q: What is the angle of the inclination (to the nearest whole degree) of a stairway with the floor if t...

A: According to question,Given,steps have a tread of 11 inches and a rise of 6 inches.

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

A: The given series,       ∑n=2∞7. -3n5n

Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: A graph of a function f is given in the margin. (a) Find the local minimum and maximum values of f a...

A: Given graph:-     To find:-   (a) Find the local minimum and maximum values of f and the values of ...

Q: A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 people and ...

A: Given: - A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 pe...

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: An investment of $5000 with Barnes bank earns a 1.3% APR compounded monthly. a.how much is the inve...

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Q: h(t) = h'(t) = Need Help? Read It Master It

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Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your convenience...

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Q: * (5 – 2 In |In|3x||D x In |3x| Given: dx. What is an appropriate formula? du A B du © 2 fuau -2 fud...

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Q: Using Figure 4, complete these functions. Express the answer as a fraction. P(-20, 21) n. Figure 4 t...

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Q: The doubling period of a bacterial population is 20 minutes. At time t = population was 90000. 100 m...

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Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x² ...

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Q: A Bifolium is the family of curves given by (x +y)* = kx²y, where k is a real number constant. %3D a...

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Q: dx xvx*-4

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Q: Suppose a sample of a certain substance decayed to 67.6% of its original amount after 300 days. (Rou...

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at...

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Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

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Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) xe" dr da (c) V...

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Q: b) (a•b)x(cxã)

A: We have to check in part  (b)  scalar, vector or meaningless

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)