curate to 10-7. k=1

Q: Let f(x) be defined by f(x) = Answer: 3x² + 5x + 2 x + 2 Find f'(1). Note: Your answer (if it's not…

A: Topic - derivative of a function

Q: The tank shown is full of water. 3 m E. 8m 3 m (a) Find the work required to pump the water out of…

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Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)

Q: 6. Evaluate the following real integrals by residue theorem 3 •S 2 Vin H соз mx ~ (x²+a²) (x² + b²)…

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Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: Find the derivative of f (y) 30% In(y) Enclose arguments of functions, numerators, and denominators…

A: To find the derivative of the given function.

Q: Question 1 Find the total differential of the function z = 7x³y8 Odz = 7x¹y³dx + 7x³y+dy dz =…

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Q: Find by implicit differentiation, given that x²y – 4y5 = -8. Your answer could involve both x and y.…

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Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y = 4

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Q: Determine the general solution of the given differential equation. y"" - y = 11 sint NOTE: Use C₁,…

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Q: find X so that the net present worth of the investment is zero

A: answer is given in step2

Q: Tutorial Exercise Consider the differential equation x²6xy +10y=0; x², x5, (0,00). Verify that the…

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Q: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTIONS. g(x)=xnx

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Q: 16-1

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: Find the Jacobian a(x, y, z) a(u, v, w) for the indicated change of variables. If x = f(u, v, w), y…

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Q: Perform Basic Vector Operations Given d = (-5, - 10) and b = ( − 3, 3), find ||ď – 6|| and ||ď || –…

A: This is a problem related to vector operation. Please follow the procedure given below.

Q: Examine the function f(x, y) = x³-9xy+y³ +8 for relative extrema and saddle points.

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: 1. Using proper mathematical terminology and different reasoning, explain why there are no solutions…

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Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: = sin (5√) at the point (7²,0). Enclose numerators and denominators in parentheses. For example, (a…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: Write the following equation in logarithmic terms. Do not simplify your answer. e5 = 4.5 Answer ||…

A: we have to write the given function in logarithmic terms . For this, first we should know some…

Q: need

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Q: the equation of the tangent line to the graph of the function f(x) = √√4x³ + 5 at V

A: Topic:- application of derivatives        Slope of tangent line is first derivatives of curve at…

Q: of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: y = ³/2, y = 8, x = 0

A: answer is in next step. please give a like .

Q: Let the function be f(x)=-log(base3)X. Use the properties of the reciprocal of a function to graph…

A: We have to find the reciprocal of given function.

Q: TT/4 0 tant di

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Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: Evaluate the following Rational Fractions -(3 cos² 0 + 8 cose-12) sin 0 de cos³ 0+7cos² 0+ 12 cos 0…

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Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

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Q: Is using the Quotient Rule equivalent to using the L'Hospital's Rule? Explain. Please use clear…

A: We have to explain, using the Quotient Rule equivalent to using the L'Hospital's Rule.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Evaluate the double integralfor, f(r, e) dA. Sketch the region R. O π/6 8 O sin(0) cos(8) dr de -5…

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Q: Suppose that the position (a) Find the velocity at tin v(t) = 17 S (b) Find the velocity at tin

A: topic:- application  of derivatives

Q: Determine whether f(x) approaches or as x approaches 6 from the left and from the right. f(x) = sec…

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Q: 1. Sketch the graphs of x = 6y-y² and x = y² - 8. Shade the region bounded between the two curves.…

A: We want to find the area of region bounded between the given curves

Q: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

A: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

Q: y = x y 2 1 2 X

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = 2+ e* Step 1 We are given…

A: y''+2y'+2y=12+ex

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y,…

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Q: Solve for a in the triple integral. (Enter your answers as a comma-separated list. f3-a-y2 ↑4-x-y dz…

A: ∫01∫03-a-y2∫a4-x-y2dzdxdy = 14/15 here we have to find value of a  so integrate this and after  put…

Q: Khalil's Babysitting Earnings Khalil charges a constant hourly rate. When he babysits What does the…

A: We have to find the function that represents the amount.