Find the length of the curve over the given interval. r = 7 - 7 sin(0) on the interval 0 < 0 < 2n

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

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

Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

A: 3. Let V, W and U be finite dimensional vector spaces. Suppose S : V→W and T :W→U are linear. Show(a...

Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3

A: Given: 2ydx=3xdy ; x=-2, y=1   We know that; ∫1ax+bdx=1alnax+b+C

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

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: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

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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: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: Both the questions are based on partial fraction.

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: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

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Q: Q 1) Find an antiderivative for each function. 4+ /i a)

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Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

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Q: 7. g(t) = tỉ %3D

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

Q: function fo - SX+2X-! Four impurtaut, intervals: (-0,A). (AB) (BC) ond (c) where A and C are critica...

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Q: dy +x =

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: 2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) i...

A: To check whether the function is continuous or not. Given information: The function is f(x)=2x4-2y43...

Q: Evaluate the integral. Answer should be expressed as a decimal value (5 decimal places, example 0.01...

A: Put y =5secthetha and solve it. 

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

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) - f(1) = f'(c)(4 - 1). (Enter yo...

A: topic - mean value theorem

Q: Evaluate the limit. 2x5–16x² lim→2 2.2+ a³

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Q: 6. A vertical tank shaped like a truncated square pyramid is filled with water. Find the work requir...

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Q: Obtain the particular solution satisfying the initial conditions indicated.

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Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: find the moment of inertia with respect to x-axis of the region bounded by y^2=4x and x-1=0

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 9600 – 6p- ......

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Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

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

Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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

A: To check the convergence of the given series.

Q: Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

A:

Q: Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

A: We have to evaluate ∑k=1nPn,k-1Pn-1,n-k

Q: O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surfa...

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Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

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Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

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Q: Exercise 7. Let (1 3 0 A = 30 1 0 1 1 1. Find the eigenvalues and associated eigenvectors of A. 2. C...

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Q: y3 Set up an integral that represents the surface area of the surface generated by revolving the gra...

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

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A: The given function f(x)=x2x-22

Q: x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

A: Topic = Inequality Correct Answer [-2,5]

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

A:

Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

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Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-