(x-1)+3(x-1) +5dx

Q: Evaluate the following S(sec X + cot X)² dx

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Q: The region R shown below is bounded by the x-axis, the y-axis, and the curve given by the parametric...

A: We have to write the integral expression

Q: Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

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Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact answ...

A: topic - application of derivatives

Q: If the têst is inconclusive, then say SO. 3* Σ k! k=1 If p = +o, enter "inty". i

A: Given query is to find series converges or diverges.

Q: What is the form of the complete partial fractions decomposition of this function: of 5 x(x +3)2 (x²...

A: We have to find the form of the complete partial fraction of the function

Q: im(xx)!(0;0) f(x; y) = 1.|

A: this statement is false , and mathmatical reasoning and example is in next step

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: Find an explicit formula for the general term an of the sequence.  −1,   1 3, −  1 5,   1 7

A: Find your answer below 

Q: Let a, = and b, n - 5 Calculate the following limit. an lim (Give an exact answer. Use symbolic nota...

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Q: cot(x) f(x) sin(x) f'(x) = Need Help? Read It Watch it

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

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Q: A. Graph the curve B. Find the x-axis intersection points (Limits of integration) C. Find the area o...

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: Let f(x) be a continuous differentiable function that f(x)- 4 satisfies lim =D5 %3D x3 x-3 Which lin...

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Q: Let h(x) = f(x) · g(x). If f(x) = 2 – 4x², g(3) = 8, and g'(3) = 6, find h'(3). %3D %3D Provide your...

A: Given that hx=fxgx if fx=2-4x2,g3=8 and g'3=6To find : h'3Solution : fx=2-4x2f'x=-8xhx=fxgx h'x=f'xg...

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: Determine whether the alternating series converges. 7ln k k k=3 O The series converges. O The series...

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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: * cot 2x csc22x V2-3 cot?2x Evaluate: @ V2-3 cot²2x + C (A ® -V2-3 cot²2x + C (B © V2 - 3 cot²2x +C ...

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Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues)....

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Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly...

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Q: Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞...

A: The given function is: g(x)=3xx-6&amp;limx→∞g(x)=3

Q: is The value(s) of p for which the series 2n=1 (1+n*)=P convergent using the integral test: A) p2 1....

A: Here we have to find the value of P for which the given series converges.

Q: Question A ball is launched vertically upward with a velocity of 192 ft/s, so its position function ...

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: d) -1nen+2ne2n+ne) e2n+1en+2

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: c) (ахb) (схӑ)

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Q: dx (c) x² /4 – x2

A: Please see the below picture for detailed solution. 

Q: (2x2 + dx. Using u-substitution and transformation of integrand, then the power formula applies; suc...

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Q: The integrating factor for the differential equation dy X- dx 4x cos(x)y = –5e* is e-4 sin(x) Select...

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Q: Knowing that the vector field given by the image function is conservative, determine its potential f...

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

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

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Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: The solution to the differential equation = x cos(3x) - is: Select one: O x? cos(3x) + cx x2 O 3x? s...

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Q: Problem 5: Solve the following differential equation for y(t) for the initial value problem using th...

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Q: hat are the new limits of integration after applying the substitution u = 6x + x to the integral / s...

A: Given query is to find the limit after applying the substitution.

Q: If {an}1 is a convergent sequence, then {2a,}1 is also a convergent sequence. n=1 Select one: O True...

A: First is true and second is false. 

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: 3. A particle is moving with the given data. Find the position of the particle. a(t) = 3 cos t-2 sin...

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded th...

Q: Graph of the position function of a particle is shown, where t is measured in seconds. a. When the p...

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Q: Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing fu...

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Q: Let E be the solid region bounded by the planes z= y, z = 2y, y 1, a 0, and r 3. The density of this...

A: We have to find the equation in integral form. And evaluate the mass of the object.

Q: Evaluate the integral: f sin 7x cos 2x dx. A) sin 5x + sin 9x + c. 2 B) cos 5x +co cos 9x + c. 10 C)...

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Q: 1 1 1 2 4' 8' 16 32 ' 64' 128 1 1 1 The sequence {1, } а. converges to negative one. O b. diverges C...

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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: Consider the following sequence: {an} = An+1 - to show that the given sequence {a, } is strictly inc...

A: The given sequence is: an=7n6n2n=1∞