Find an explicit description of Nul A by listing vectors that span the null space. 1-2 0-2 0 01 40 00 05 A = 0 0 A spanning set for Nul A is (Use a comma to separate answers as needed.)

Q: finding the 4th derivative of f(x)=ln(3x+1

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Q: Find the limit. lim (1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider f(x) = − 5x(8 − x)¾ Determine the intervals on which f is concave down. Of is concave down…

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Q: Question Evaluate the integral. So 70 Give an exact answer. If the integral is divergent, enter Ø.…

A: We will find the required integral.

Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

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Q: Let A(x) = f f(t) dt, with f(x) as in figure. -1 140 0.5 A --- 8 A(x) has a local minimum on (0, 6)…

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Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: Proposition 1.7: The axioms for multiplication imply the following statements. a- If x = 0 and xy =…

A: Axioms of Multiplication:- When two equal number is multiplied by two equal quantities then the…

Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: Below a student uses the Substitution Rule for a definite integral incorrectly. -4½/2 √x√1-x²dx 71-7…

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Q: A rectangular metal tank with an open top is to hold 4 cubic feet of liquid. What are the dimensions…

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Q: dy dx sin(xy) = y dy dx Find the = given the equation

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Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

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Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…

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Q: Sketch the situation if necessary and use related rates to solve. A 6 ft tall person walks away from…

A: We have to find part 1, 2 and 3.

Q: 3 Define Q as the region bounded by the graphs of u(y) = -²(y-2). the y-axis, y = 0, and y =…

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Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: The Rational Function f(x) = = a. Write the Equation for the Horizontal Asymptote: b. Draw the…

A: Topic = Function

Q: If x is divisible by 5 or y is divisible by 5, then xy is divisible by 5.

A: Let x is divisible by 5. Then x=5u for some natural number u.

Q: Use Laws of Logarithm to evaluate the expressions. (a) log3 (81) = (b) - log4 (16) = Use Laws of…

A: The give logarithm expressions, a) 14log381b) -12log416c) log3xyd) log29x2y3 We have simplify the…

Q: Let f(u, v, w) = ² + v³e", where u = sin(x+y+z), v= x²e" and w = z. Compute the partial derivative…

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Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)= As p→∞, f(p)=

A: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)=     As p→∞, f(p)=

Q: Write the equation in its equivalent logarithmic form. 8³=512 What is the equivalent logarithmic…

A: See this solution in below.

Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: The given initial value problem, y'+9y=e-9t, y0=1 We have to solve this problem using Laplace…

Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

Q: f(t) = 5e-7t

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We can find the particular solution in the below steps using the appropriate method.

Q: 3. Find the linearization of f(t) = = this to estimate f(3.05). 3t t² +3 at t = 3 and use

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Q: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 12 minutes, 5.25…

A: We have to find the minimum time of visit.

Q: Solve the equation using the quadratic formula x squared - 4x + 13 =

A: Given query is to find the solution of the quadratic equation.

Q: 0 Exercise 7 Limits The following graph of the function f satisfies limf(x) = 2 . For & = 3 find a…

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: Given Data: f(x)=x2-7 x1=2

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t)= 0.041³…

A: Given S(t)=0.04t3+0.8t2+4t+3We need to find(A)S'(t)(B)S(7) and S'(7)(C)Interpret S(13)=278.08 and…

Q: Find the first partial derivatives of f(x, y, z) = ~ arctan Caution: ay/bx and ay/(bx) are very…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2 48x S (x-9)(x+3)²…

A: Given, ∫48x2x-9x+32dx

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Let's solve given diffential equation by using Laplace transform.

Q: Find the derivative of the function. y = In(xvx²-8) y' =

A: y=lnxx2-8 Apply Chain Rule

Q: Find the gradient of the function at the given point. Function Point f(x, y) (7,3) Vf(7, 3) = 15 2 x…

A: Please see the below picture for detailed solution.

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Given, y"-4y=8e3t, y(0)=4, y'(0)=0

Q: X Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

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Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: Given the implicit curve arctan(x² − y) + sin(2x + y) = xy + 8, find the tangent line at (-2,4).

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Q: Prove the identity. tan (+) 2 tan (7) + cos(x) tan (+) = sin(x) 1 - cos(x) X + cos(x) tan (-) = = X…

A: To prove the following identity.tanx2+cosx tanx2=sinx