Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

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Q: Q5/ Use Linear Regression to fit the following data: 1 2 3 4 Y 4 9 10 10 9 3 n 00

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Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y V9x² + 16

A: The given integral is y=∫dx9x2+16 We have to solve the integral using Trigonometric substitutions…

Q: A rectangular piece of cardboard has a size of 45 x 24 cm. This cardboard will be made into a box…

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Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

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Q: Find the absolute extrema of the function on the closed interval. f(x) = cos 7EX, = COS 0, minimum…

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Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: Vx – 8 = xy + 2

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Q: The global maximum of f(x) = x-4x over the interval -2sx<3 occurs at what value of x? O a. X = 3 O…

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Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

Q: Q3) Evaluate triple integral Lyx -y)dz dy dx.

A: Topic = Integration

Q: Problem 2: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt,…

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Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: Find the equation of the tangent line to y = 7e* at x = 3. (Use symbolic notation and fractions…

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Q: 1 Evaluate: xInx In Oc -In 6 O d. In 6 l3.

A: The given problem is solved below in detail.

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

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Q: Find all values of x that satisfy the equation f'(x)= g'(x) it f(x)= sin x and g(x)= cos x. 3T +k T,…

A: We can solve this as follows:

Q: Evaluate the following integral using Trigonometric Substitutions Method: п 2. y = 1- x dx

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Q: 0.125 А. f(8t) dt | 0. 0.25 B. f(1 – 4t) dt = 2.5 c. f(5 – 2t) dt =

A: Given that,

Q: F'(x) = (ax3 + b)2 O none of the choices O 1 За ах3 + b 1 1 2a ax3 + b 1 1 - За аx3 + b. o 1 2a (…

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Q: csc ² 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. A True B)…

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Q: u+v+w=0ad u =3, v=5, w = 7 then he angle between y and y is 0 2r 6. 0 5m ONone of the choices 11

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Q: Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt…

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Q: Consider the parametric curve defined by x=3+5t and y=1+31 Over which values of , does the curve has…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (* + 0) in…

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Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: A line is drawn through the point (6,4,2) perpendicular to the yz- plane. Find the coordinates of…

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Q: Q3) Evaluate triple integral f x - y²)dz dy dx.

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Q: Given the triangle 30 find the length of side x using the Law of Sines. Round your /36° 17° final…

A: Given,            The triangle is shown below :

Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? —3х - 1…

A: This question is related to Rolle's theorem, we will solve it using given information.

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 81 is…

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Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

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Q: hich of the following choices do the alternative ways for writing an iterated triple integral match?…

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Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: Option A is true

Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

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Q: |x= 8| f (x) = Evaluate the left-hand limit of as X8. 16- 2x O 1/2

A: Given,            fx=x-816-2x as x→8To find : Evaluate the left-hand limit of the given function.

Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

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Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: Learning Competency: illustrate an antiderivative of a function. Question Is S Gx2 + 5x + C)dx = 3x…

A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

Q: Evaluate the integral: (3si + 9s²j + 4k) ds

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

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Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: Type your answers in the following order and format: a=1,b=2. DO NOT include spaces in between…

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Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

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Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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