ner to integrate with respect to x or y. Draw a typical approximating rectangle. y -10 - 10 -5 5 10

Q: Solve the following differential equation (MANUAL calculations only). dy (x + 1) – 2(x² +x)y =: x >…

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Q: 2. Let R(t) = sin 4t î – bcos"(21) j + 2t k. Find the moving %3D trihedral of the curve of R(t) at…

A: Given

Q: The graph below is the function f(x) 5+ 4 3 -5 -4 -3 -2 -2 -4 -5+ Find the following. If no value…

A: Given problem :-

Q: 10. f(x) = x² + x + %3D 1 x2

A: Derivate both side with respect to x

Q: Find solutions of the following equations by the method of separation of variables: 4. 2+= 0 at xe,…

A: 5.

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: 1)2xsin-13x

A: Given     write

Q: When evaluating the following integral 16dr using trigonometric substitution, Part A The correct…

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Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: 12. The function f(x) and its first and second derivatives are as given below. f(z) - 2 6- 2z g"(z)…

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Q: Sind the a rea betwee h 2. メニリ and メ=9で

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Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: Approximating Sums Suppose you wish to approximate the area under the graph of f(x) = 2 cos(r) + 3…

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: Fundamental Theorem: Let f(x) = [ Jcos (In t)dt . Find the value of f'(æ). %3D

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Q: 15 If f(x) 2 sin : then f'(x)

A: We will find f'(x) of the given function f(x)=2sin-1x5 in the following step.

Q: where Sint yo teld y=ueat cast. U=-2 i t=0 and then dt.

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Q: Dose the h partial sum of a series a, is as follows. n = 1 -ח n+ 5 Find and n = 1 Step 1 We are…

A: Solve the following

Q: farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: Find the arc length L of the graph of r(t). r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0<t< 2n

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Q: dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by…

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Q: Quèstion 5 The integral tan-1x dx is equal to ONE of the following. 2 (HINT: Use Maclaurin series) I…

A: Explanation of the answer is as follows

Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: 3) Verify that the hypotheses of Rolle's Theorem are satisfied on the given interval, and find all…

A: Solve the following

Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: An open-topped storage box with a square base has a capacity of 5 m3. The material for the sides…

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Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: x COSI dz dx dy

A: Simplify the integral

Q: 4 E(-1)" sin n=1

A:

Q: The solutions of the equation (x + 5) (2æ – 1) (x – 3) = 0 are

A: This question is based on equating factors to zero.

Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: Calculate the limit, if it exists, 5 lim x→7 (7-x)

A: On solving this we will get

Q: Find the derivative. Show your work 1. y=x^5 arcsin(x^3)

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Q: Sketch the region bounded by y = x2+2, y = 2, and x = 2, and find the volume of the solid generated…

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Q: The graph of f(r) is given below and F(z) = -2 Find F(4)- a) O 12 b) 06 3 c) O d) O e) 09

A: The given data is: The graph of fx is given below and Fx=∫0xftdt    To find the value of F4

Q: 8. The average value of the function f over the closed interval [0, 3] is 4 and f (x) > 0 for all x…

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Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: a) Determine the position function, 8(t), of an object if the acceleration is a(t) = 5t (3) = 0, and…

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Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: X-axis. Consider the points P(3,0, 1), Q(5, –1,2), R(5, 1, – 1), and S(0, 4, 2). (a) Find the area…

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Q: 5x - 4 dx x3 + 4x2

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Q: d 6. dx sin(t) dt

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: 1.0 5

A: We have to find out limit

Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.