4 S" (x +1) Jx da 0

Q: conds after th mem 3) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. 5…

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Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

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Q: B. Find the area bounded by the given curves Show the graph (you can use any graphing software,…

A: A detailed solution is given below.

Q: 80 80 (20) If the graph of the function f(x) is stretched vertically by a factor 2 and then…

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Q: Find the tangent line approximation for √1 + x near x = 5. y = |

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Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: Find fx (x,y) and fy(x,y). Then, find fx(1, -2) and fy (-3,3). 4 f(x,y) = -2xy +9y² + 10 fx(x,y)=

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Q: Complete the table to find the derivative of the function. Original Function Rewrite 4 y = X 3+4…

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Q: Question 8 (a) Find the following integrals: 1 (1) √4x²+0 d 6 (ii) -dx -2x-8

A: (i). Given: I=∫14x2+9dx   ...1   As we know that; The trigonometric identity; 1). tan2x+1=sec2x 2).…

Q: 10. Evaluate cos x sin² x dx

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Q: 2 ind the arc length for f(x) = 6-2 x² over the interval [0, 2].

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Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

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Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

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Q: Given the number or numbers where the function is discontinuous. Is the discontinuity removable?…

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Q: Use Taylor's Theorem to find an interval [ z, z] where the Maclaurin polynomial p2(x) = 1- 2 1…

A: Given problem  is :

Q: 5. y"+y= secx tan x

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Q: Let f(x) = 4x²(x-8) + 14. Find the critical points c that correspond to local minima. (Use symbolic…

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Q: (b) Find the area under the curve defined parametrically as x=t²-1 and y=t³-t for 0≤t≤1

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Q: 2. 2 y² - 4y + 10 dy

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Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

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Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: In the Taylor series expansion of e* about x = 2, the coefficient of (x - 2)4¹ is (a) 24 (b) 4! (c)…

A: Taylor series of function fx at a is defined as:…

Q: C(q) = q³ - 11q² +52q and R(q) = -3q² +2400q, what is the minimum marginal cost? Given Cost and…

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Q: Given the vecor-valued function R(t) = cosht i ln(t+1) j+et k, find lim h→0 R(0+ h) - R(0) h O…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: Find the radius of convergence of the power series. (If you need to use oo or -00, enter INFINITY or…

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Q: III. Solve the following problems. 1. A manufacturer of tin boxes wishes to make open boxes from…

A: A manufacturer of tin boxes wishes to make open boxes from pieces of tin withdimensions 8 in. by 15…

Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

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Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: + R (+) et sinti-etcost] a) Find the velocity and acceleration vectors. 6.) Find the speed,…

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

Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

A: We have to find solution

Q: 3x²=ay² + (1-4x4) dy = 0 (₁ 2. 1 + x³y² +y + xy = 0

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Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³ - 4t² + 5t + 32)sin(t)dt

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Q: Q14) [2x (1+x²) x-(1-x²) (1+x²) +CB)- 10 (1+x¹) (1+x²) (1+x²)" (1+x²)" 11 +00) +CD) 11 10 12 1.1…

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Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y = x³.

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

Q: 7. Sara wants to show that (a × b) × ê ‡ à × (b × c). Yasmina says that it is impossible and comes…

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Q: For each of the following functions, do the following: a. Determine if f is continuous at a. b.…

A: We are authorized to solve only one question, please repost remaining questions Continuity and…

Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.