= Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96 b = 96 7 b= = 2722 b = -1/1/201 2x² + 3x ax + b -x³+4x² x≤-4 -4

Q: Write Z₁ and Z2 in polar form. 11π - 4( cos( 11 ) + sin ( 1 )) i 11π 6 Z1 = Z2 Z1Z2 = Z1 Z2 Z₁ =…

A: you should write a bracket

Q: Linear

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Q: 3 [(1 + 5a)'di

A: Solve the integral

Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: we will find the required.

Q: Use implicit differentiation to find y² + 4x³ = 8y - 5x² dy dz z(5+6x) y-4 da X

A: Topic = Derivative

Q: oduced, while R(q) and C(q) are in total dollars ction. (Be sure to use the proper variable in your…

A:

Q: 1 2²-1 x²16 da

A:

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

A:

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,2) on the surface…

A: Let fx,y,z=2x2+3y2+z2-9 Gradient vector ∇fx,y,z=fxx,y,z,fyx,y,z,fzx,y,z

Q: -4y5+4 dy +4 ]d-

A:

Q: determine the values of r for which  erx  satisfies the differential equation, we substitute  f(x)…

A: To determine the values of r for which the given function is a solution of the differential…

Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

A:

Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

A:

Q: Evaluate the definite integral. JO In 2 tanh x dx

A:

Q: The Total Revenue is decreasing when the demand is elastic and the price is increased slightly. O…

A:

Q: 2 16. xy = √√x² + y²

A: Given Equation:- xy=x2+y2

Q: Find the linearization L(x,y) of the function f(x,y)=2x cos (5y) at the points (0,0) and The…

A:

Q: 2x +3 x:²-9 da

A: To evaluate the given integral.

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y (s). Y(s) =…

A: We have to find the Y(s).

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Given: the derivative of the function, f'x=4fx+5x

Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²

A: Topic = Derivative

Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

A:

Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

A:

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out): The tasks are to find equations for:…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) Provide your answer below: •…

A: Let's find absolute maximum and minimum value.

Q: 1.y = 3x cos=-9sin 2y=2csc(1-3x) tan 2x 3.y=1-cot 2x

A: According to our guidelines we can solve first 3 questions please upload remaining…

Q: In formally proving that lim (x² + x) = x 4 Determine m. m = 20, let & > 0 be arbitrary. Choose d =…

A:

Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Let z = f(x,y) = 15x² - 25xy +9y². Find the following using the formal definition of the parti əz ду…

A: All the subparts are solved below

Q: 9.) If y=xe, then find d" y dx" 10.) Find h'(x) if h(x) = f(x³).

A:

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

Q: Find the partial derivatives of the function f(x, y) = xye -by

A:

Q: 7x sin²(x) dx =___________ (Apply integration by parts method) O 7x tan(r) 7x cot (x) 7x In(sin(x))…

A: Topic = Integration

Q: Evaluate the limit: lim 02 does not exist lim √(0+1)²-1. Q→-2 0 1 0

A: Put Q= -2

Q: Find the distance the Point PC9₁-6, 37 is to lline through the two Points. 1Q (5-=-= 3,01 and R…

A:

Q: If y=xe, then find d" y dx"

A:

Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 3x.…

A:

Q: er Derivatives 2.) What is d² y dx² Period when y=cos(2x³)

A: 4) The given function is; f(x)=lnx, x=3.

Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: Evaluate the triple integral E 2x dV where E = {(x, y, z)/0 ≤ y ≤ 2,0 ≤ x ≤ √4-y²,0 ≤ z≤y}

A:

Q: ey = 25e4x-z+w 10z - w + 3x = -23 8y + 3w - x -z = 5 x+y-z + 4w = -10

A: The objective is to rearrange the  equations so that their associated matrix is ​​diagonally…

Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: limx→4 x²-4x √I-2 ||

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Q: Find dz dt · at (x, y) = (−2, −1) for z² = x² + y² if de = dt = help (numbers) 10, dt 5, and x > 0.

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Q: Find fx(x,y) and fy (x,y). Then find fx (2, -1) and f,(-1,0). f(x,y) = -4 e 8x-3y x(x,y) =

A: Topic:- application of derivatives

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4-2y 4x +3 y 2x + 1³.

A:

Q: Find the equation of the line tangent to the curve -2x² - y5 + 3x + 6y = 6 at the point (1, 1).…

A: