Find an equation for the line tangent to the curve y =(√x - 9)(x5 + 8) at x = 1. y =

Q: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: Using the concept of differential approximates the value of sqrt(85)

A: Given value is 85 We have to find its approximate value using differential approximation

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: 3. Find d² d02 sin Ꮎ (1 1+ cos 0 Simplify your answer.

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Q: [200] 020 00 02

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Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

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Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

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Q: -5 -5-4-3-2-1 5 45

A: Need to write down the value of f(1) from the graph of the given function.

Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

A:

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: : Fit a second order polynomials to the data in the following: 5 6 12 13 X Y 1 4 3 8 4 10 7 10 8 co…

A: From given data

Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: Question 12 of 12 View Policies Current Attempt in Progress Find dy dx dy dx Enter the exact answer.…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Suppose that the functions u and w are defined as follows. u(x)=x+2 w(x) = x² 2 Find the following.

A: NOTE: Refresh your page if you can't see any equations. . . take x=-4

Q: The graph of f' is shown. Let f be a differentiable function such that f TT/2 TT/3 TT/6 0 -TT/6…

A: Tangent to a curve y=f(x)  at a point (a,b) is given by y-b=f'(a)(x-a)

Q: lve (a) da 2y X x²

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Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x

Q: How would the triangle be drawn for this problem ?

A: Given: In a baseball field, a drone is flying directly between the first and second base. Distance…

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

A:

Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: Given g(x) = x¹1 - 3x + 2, find the x-coordinates of all local minima using the second derivative…

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Q: I cannot visualize this question. Could you please draw a graph and label all the critical points…

A: Given: First water level rose faster and faster, then rose more but slowly until it reaches its…

Q: x¹ - 1 x→1 x-1 cos(π + h) +1 h 28. (a) lim h→0 29. Find dy/dx/x-1, given that y = 1-x². 30. Find…

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Q: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

Q: 41. Show that f(x) = 3√x is continuous at x = 0 but not dif- ferentiable at x = 0. Sketch the graph…

A: NOTE: Refresh your page if you can't see any equations. . take x=0

Q: 2. Determine whether the following integral is convergent or divergent. If convergent, evaluate. 1…

A: Given query is to find integral converging or diverging.

Q: Prove that if A is a square matrix, then det (ATA) = det(AAT)

A:

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: = Let the graph of a piecewise-defined function f, from x x = 6, be the figure below. Evaluate So…

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

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Q: The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table.…

A: As per guidelines we can solve only one question at a time and maximum three subpart at a time, so…

Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-0 -3 O-1 2 01 -1 3 2 L +…

A: From the given graph

Q: Find the length of the curve. r(t) = (0) - (10, 1², 12³), 0 = 6 0 st≤ 1

A:

Q: lim 241- Let f(x) = 2x - 3 if x > 1 Calculate the following limits. Enter "DNE" if the limit does…

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Q: The population of bunnies on Grassygreen Island, B(t), follows the exponential growth model 3(t) =…

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Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: [1 2 4] A = 3 3 1 6 k 32

A: Given :A=124316k32Matrix is invertible

Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

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Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x)…

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Q: (2a²r²)dr = r³ sin 0 de, when 0 = 0, r = a

A: As we know that; The differential equation Mdr+Ndθ=0 is said to be exact, if ∂M∂θ=∂N∂r. Then the…

Q: A = -3 -30 25 1. -105

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Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal