What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

Q: mx 13 if x < - 9 - Let f(x) = x² + 3x − 4 if x ≥ −9 If f(x) is a function which is continuous…

A: The objective of the question is determine the value of "m".

Q: Ja cos³ 0 sin 20 de

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Q: Curve Sketching y = x3 - 4x2 - 8x - 5 Show your work to determine: the y-intercept and any…

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Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

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Q: I co cos³ x sin x dx

A: Given problem:- ∫cos3(x) sin(x) dx

Q: QUESTION 7 ·S sin²t sin²0 de csc³0 de sec ³0 de cos²0 de The integral dx (x²+4)² 01 Secto 0 + can be…

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Q: Identify and sketch the graph of the following SURFACES. x² + y² = sin² z, Z = [0, π]

A: Given.   x^2+y^2=sin^2z

Q: iven R'(t) = (4e²t, 2t ,2cosh t), and R(0) = (1, −2, 3), 1+t² find Ŕ(t), and give the parametric…

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Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: 43. Evaluate: (2ex - 4x) dx A. 2ex - 4x + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e + + C In 4

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: 2. z = ²+² У Х

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Q: 2.which of the ff.is the reverse process of chain rule?a additional rule b.product rule…

A: Reverse Process of Chain Rule:       The chain rule for derivatives allows to calculate the…

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: For the following exercises, find aj dt and direct substitution. 226. f(x, y) = x¹, x=t, y=t using…

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Q: Find nd cos(z ² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 81} D

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Q: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…

Q: x-5 X-3+x-3' 31. Determine the lim A. 0 B. -00 C. +∞ D. does not exist

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Q: 9 Determine the area to the right of g (y) = y² +4y-5 and to the left of the y-axis.

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Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: ng exercise, evaluate the integrals of the functions graphed using the formulas for a circles, and…

A: Topic:- geometry

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

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Q: Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: Suppose m and n are constants and m‡ n. 1. Evaluate sin(mx) cos(nx) dx

A: using trigonometric identity

Q: 19

A: We will solve the problem

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7√) at the point…

A: Here we have to find the equation of the tangent line of the function…

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

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Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: Let T be the tetrahedron with vertices (4, 0, 0), (0, 5, 0), (0, 0, 5) and the origin. Write f(x, y,…

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Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

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Q: Exercises To Solve [No.5] dx 05². of зах (2) x²+2x+5 9x²6x+5 D

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Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: y = (x² + x + 1)²

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Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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Q: (ii) tank (In x) = x²-1 x² +1

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Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

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Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Question 4 What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) O B) 1 (C)…

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Q: Evaluation. Determine the antiderivative for each. Show complete solution 1. S dx 5x³-3 √x3 2.…

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1       1).…

Q: Find the slope of the tangent line to the graphof the polar equation 1 r = at Ø= 1-sinø 6

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Q: A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the…

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Q: ind g'(3) given that f(3) = -1 and f'(3) = 5. (a) g(x) = 2r³-7xf(x)

A: Topic:- application of derivatives

Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

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Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ &amp; y→=i→+5j→-4k→To write expression in terms of i→,j→,k→: