What is the value of k such that the lines 3x + 6ky=7 and 9kx+8y=15 wil have the same positive slope? 44 Option 1 Option 3 2|3 Option 2 Option 4 I 49 4 23 3

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a whole number value, no…

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Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as an INTEGER value, with NO…

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Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: 8² 8²v 8² = (x² + y² +2²) −¹, then + + is 822 მ2 If v=

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

A: Here, given that f''(x)=x2(x-7)(x-2)

Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

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Q: Solve the following deferential equations a) (x² - 4xy - 2y²)dx + (y² - 4xy - 2x²)dy = 0. e-2√x : 1…

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Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Graph of logarithmic function

Q: Equation Conversion from Rectangular to Polar Coordinates x=rcos 8 y = r sin 0 1. Convert each…

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Q: 2x² + x³ 3x² + 4x-9 1² +1 Q(x) + p(x) 1²+1

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Q: 3x at the point P (2,0, -1) in the direction The directional derivative of f (x,y,z)=ln *(x,y,z);…

A: ..

Q: Given the partial decomposition of the rational function for some numbers A, B and C. What is the…

A: Given :x+1(x-1)(x-2)(x+3)=Ax-1+Bx-2+Cx+3

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx VI…

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

Q: Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis.

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

A: Let's compute value of given a+b+c+d-4f(2)/g(2).

Q: h-x'+2x=10e³ where x(0)=6

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Q: The value of x for which the series - OA25x<3 or 3<x≤ 4. OBx<2 or 4<x. OC. None of the choices in…

A: We will solve this question by first calculating the radius of convergence of the series.

Q: 5fe* (e-2x)dx.

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Q: 12

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Q: In evaluating 5 3 Add your answer dx is same as evaluating lim (In(f(x))). Determine the value of…

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Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: Consider the series Σ(-1)^ 2³ Which ONE of the following statements is CORRECT? n=1 3" OA. The…

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Q: Evaluate the following double integral over the given region R. SS 4 ln(y + 1) (x + 1)(y + 1) Use…

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Q: What is r 1- O Option 1 2 2 sin 0-3 cos 0 3 y = ² x + 1 2 x² + y² = 2y²-3x Option 3 in Cartesian…

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Q: The power series representation of f(x) = n(x²-1) is given by O A. -1 -x+1, -1<x<1. n=in+l O B.…

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Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: (ارفق الاجابة) The eigen value of matrix [1] O 1+i, 1-i O 1+i, i 0 1,-1 1-i, 1-i *

A: On solving this we will get

Q: A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it takes to cool…

A: Topic:  Newton's Law of cooling using application of calculus

Q: 5. y² = У X x-1

A: Solution is here

Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

Q: 4. x= 3+4 sine, y = 3cos0-4

A: Note:- I am solving here first 2 parts of this question. Second derivative and draw the figure . But…

Q: A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs.…

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

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Q: sin (x) dx (2+3 cus(x))² 3(2+3 cos(x)) с

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Q: Part 3. Find the anti derivative of the exponential and trigonometric function. Write your provided…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

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Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: 1. Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

A: Given that Cartesian coordinates (x,y,z)=(3sqrt(3),-3,-8).

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x 2. Convert each…

A: As per Bartleby guidelines rule I am answering only first three questions.

Q: 12. y = 1 3t + 1³ X= 31² 1+1³ 3

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Q: the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², ind: dz dz and 2- (by chain rule) ди…

A: differentiation

Q: Find Vf at the given point. f(x,y,z) = x² + y² -32² + z lnx, (1,4,5) Vf|(1,4,5) = 7i+ (8)j + (-30)k…

A: Topic = Derivative