Find k such that the line is tangent to the graph of the function. Function Line f(x) = k√x y = 2x + 18 k=

Q: find the differential equations of every families of curves given. complete solution  1. all…

A: I have solution in detail...go through the solution

Q: Laplace (d^2y/dt^2) + 6(dy/dt) + 9y = cost y(0)=1, y’(0)=2 What is Y(s) and y(t)

A: We know the following. L{y''}=s2Y-sy(0)-y'(0)L{y'}=sY-Y(0)L{y}=Y Now,              y''+6y'+9y=cos t,…

Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: We have to find the values using Law of sines.

Q: 1. Evaluate the following integrals ·16 /1+√√x √T dx x+√√xn-m a) 16 b) f dx where m and n are…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: Determine the missing coordinates of the points on the graph of the function. (x, y) = (-1 (x, y) =…

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Q: Evaluate the integral: - (6x + 14) (x - 1)(x + 1)² SE dr +C

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Q: 2x 2). 9 = (₁ x ² + ( ₂² ²³

A: we need to eliminate the arbitrary constants.

Q: Find zr if z = xyev, x = rcos(t), y = rsin(t), when r = 2 and t Zr TU 6

A: We need to find out Zr.

Q: 6 $ 4 3 = da 2 1 -6 -5 -4 -3 -2 -1 4 -2 -3 -4 The graph above is a transformation of the function…

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Q: Q4¹ Find function's domain, function's range, and determine if the domain is an open or closed…

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Q: (2) A force of 4 N will stretch a rubber band 0.04m. Assuming that Hooke's Law applies, how far will…

A: Note: Hooke's law: F= kS Where F is force  k- elastic constant S-strain   Work formula: W= F.S…

Q: S d.x √9-4x²

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Q: The base of a solid is the region enclosed by a circle having a radius of 7 cm. Find the volume of…

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Q: Evaluate the integral: dx (x - 9) (x + 8) = +C

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Q: Find the derivative of each of the following. A) f(x)= 125 5x B) g(x)=x³5x g'(x) = C) h(x) = log 5 x…

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Q: Given f(x, y, z) = xyz, find fxyy

A: The given function is fx,y,z=xyz We have to find the value of fxyy

Q: Find an equation of the line that contains the given pair of points. (17, 22), (4, 9)

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Q: 1. Find and sketch the domains of the functions f(x,y) 1 In(4- x² - y²) 1 and g(x, y) 1 √x + y² = 4

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Q: c) Now suppose that a > 6. In this case, simplify the following expression so that it does not…

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Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

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Q: Determine the solution of the 1st Ordered Differential Equa 3(x² + y²)dx + x(x² + 3y² + 6y)dy = when…

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Q: Evaluate each of the following expressions using the given table of values. X f(x) g(x) (a) f(g(1))…

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Q: Which of the following piecewise functions is represented in the graph below? Select the correct…

A: Equation of straight of line y-y1=y2-y1x2-x1x-x1

Q: 4. For the second-order differential equation y" + 4y = -16 cos²x: a. Show that y = cos 2x + 2 is a…

A: We have to find a,b,c .

Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: m 5 Find the critical points and the inflection points of the followin f(x) = lnx-x

A: Topic:- application of derivatives

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: Find the partial fraction decomposition for the following rational expression. 2y³ + 19y2 + 48y +63…

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Q: x²yy' = e'.

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Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

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Q: how did you arrive at the value of 20 for the coeficciant of the derivitave?  4/5 of 45 is 36.  Also…

A: Query regarding value of coefficient in step - 2. In order to explain step-2, the step is again done…

Q: 6) For each of the following series, state whether it is convergent or divergent. Determine the sum…

A: The given series are  a) 8+12+18+27+40.5... b) 32+16+8+4...

Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: The given logarithm expression ln5+ln5x2-8=ln129 we have to find the solution for x

Q: Let f(x)=1.2^1.8x Estimate the derivative f′(2.1) to within two decimal places by using a small…

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Q: Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

A: See this solution in below.

Q: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a…

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Q: Q4 Find function's domain, function's range, and determine if the domain is an open or closed region…

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Q: A. g(x) is increasing at x = -7 3. g(x) has a relative minimum at x = -7 C. g(x) is decreasing at x…

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Q: How you recieve pi/4 in the first problem because when you put tan-1(1/2/12) = tan-1(1) and this is…

A: This is possible by the conversion of degree into radian.

Q: dy Given 3x4 + 2xy = 4y2 - 12, use implicit differentiation to find dx dy dx =

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Q: A woman plans to place a single sum in a certificate of deposit account with a guaranteed interest…

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Q: Q₁. Find the angle between every two vectors below ( Vote b) f-3i+2k and g=4i+4j-2k

A: In this question, we need to find the angle between two vectors.

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: (a) Find formulas for f and g such that (b) Find formulas for f and g such that f(x) lim x→∞ g(x)…

A: Please see the below picture for detailed solution.

Q: of f(x)=x+3 and g(x) = x²- 2 1) g (f(x)) 2) f(f(-7)) 3) gfg(as)

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Q: What is the particular solution for r(x) = 6xe³ª?

A: We have to tell the particular solution for  r(x) = 6xe3x

Q: Given f(x, y, z) = xyz, find fyxy

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Q: 2 Show that the total length of the astroid x¾ + y³ = a³, which can be parameterized as x = acos³0,…

A: Solution is here