Find the derivative of the following functions. Whenever possible, express answer in factored form. 10 10. y = 2

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: Eliminate A and B from x = A sin(wt + B). w being a parameter not to be eliminated. Ox"+w^2x = 0…

A: To form the differential equation.

Q: lim Y->+00 In (ett & +4e¯Y)

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Q: Evaluate the indefinite integral. [x³(x®. x5(x6 + 1)³/² dx

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Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: Find the indefinite integral. (Use C for the constant of integration.) [sin³2 sin³ 20 √ cos 20 de

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Q: lim TL 0-4 tan 0 0

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: The region R is bounded by the curve y=x, y=0, and x=49 We have to find the volume of the solid…

Q: √√2 7. So 0 dx √ 2 4-x²

A: We need to find out the integration.

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Page < 1. The following is the graph of f. Find the following limits. State if the limit does not…

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Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

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Q: What is the value of k so that d dx -sin(kx²) = 6xcos(kx²) 2

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Q: Write the function, y = |x| after the following transformations: 1) Reflect the function about the…

A: write the function after the transformation

Q: Find the values that satisfy each variable through the Gaussian or Gaussian Jordan Elimination…

A: We have to find the values using Gaussian or Gauss Jordan Elimination Method.

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

A: V = ∫πy2dx here y = 12-x limit from -4 to 12

Q: A دے 1. Graph the following pairs of functions. What is the domain of each? Where are the vertical…

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Q: A differentiable function f(x, y) has the property that f(4,3) = 6 and fx (4,3) = 6 and fy(4, 3) =…

A: We need to find z.

Q: Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

A: Given lines:- l1:r→=4,-2,-1+t1,4,-3 l2:r→=7,-18,2+u-3,2,-5

Q: What is the value of k so thate(x-1)=4e²³x-k? dx

A: givenddxek(kx-1)=4ek2x-k

Q: Let y = 5 -5 V1 = -2 2 -5 8 6 Compute the distance d from y to the subspace of R¹ spanned by v₁ and…

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Q: Find the derivative of f(x) = 2x³log3(2x5-9). O O a.) b.) c.) d.) ƒ'(x) = · 16x7 (2x5-9)In3 f'(x) =…

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Q: f(−3)=3, f'(-3)=3, g(−3)=3, g'(-3)=2, calculate the following: (fg)′(−3)= (f/g)′(−3)=…

A: we have to calculate the following: (fg)′(−3)=(f/g)′(−3)=(g/f)′(−3)=

Q: y" - 16y = 4t Initial conditions: y(0) = 0 y'(0) = 33/4

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Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

A: We need to find y'.

Q: Solve for x: ln(cosh(8x) + sinh(8x)) = x2 +15

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Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-12²) mi/hr for 0 st≤ 3…

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Q: A differentiable function f(x, y) has the property that ƒ(4, 3) = 6 and fx (4, 3) = 6 and fy(4, 3) =…

A: Given; f(4,3)=6, fx(4,3)=6, fy(4,3)=3.

Q: Finding the Domain and Range of a Function: f(x) = 2+4 Domain: all x 2 Range: all y-1 Domain: all x…

A: Solve for domain and range

Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

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Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

A: Given query is to find equation of the line L.

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

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Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: Given the following functions, compute the composition (fog)(1). f(z)-3x+6 g(z)-52-7 Simplify your…

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Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3)

A: Need to find out the standard form of the equation of the circle.

Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

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Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

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Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: 2. Suppose that f(4) = 2, g(4) = 5, f/(4) = 6, and g/(4) = -3. Find h/(4). a. h(x) = f(x)g(x) b.…

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Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: We can find the answers in the below steps.

Q: Find the first partial derivatives of the function W = 5ze xyz 1. 2. 3. δω dx Iw მყ δω əz = =…

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Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. z = x¹y¹ + z −…

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Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: Check here for instructional material to complete this problem. Find the approximate slope of the…

A: Given query is to find the slope of the line and determine whether it's increasing or decreasing.

Q: using the definition of Laplace, solve the ff: 1. L [cos at] 2. L [cosh at]

A: We have to use the definition of Laplace transform to solve  (1) L{cos(at)}

Q: 3 2 Find the interval of convexity of the function f(x)= x + 3x - 4 D a.xEE-1, +00) b. x € (-1,-00)…

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