For a battery of voltage V and internal resistance r, the total power delivered to a load with resistance R is P = assuming that r is a variable and R is a constant. (Use symbolic notation and fractions where needed.) dP Calculate

Q: 2) 2xydy + (x² + y²) dy : > 0

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Q: 05/ Giving the following data: X 0 1 2 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral [f(x)]³dx by…

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Q: 13 Given the matrices A = - B 1 -1 3 4 the matrix X in the equation A (X + 3B) = C. X = 2 and C= -3…

A: A=111-1, B=1334 and C=-3032

Q: 20- 18 16- 14- 12 10 Co 8 6 4 2 1 Estimate the instantaneous rate of change at x = 1

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Q: ху 2x — 9 = 0; x = -3 =

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Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: Problem 6. Find the equation of the tangent line to the curve x²y-ay² = -6 when z = 2.

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Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Example: • f(x, y, z) = x³ + 3xy + 3xz + y² + 3yz + z³ • Find the stationary points • Classify the…

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Q: The half-life of chemical substance is approximately 9 years. Initially there is 80 grams of the…

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Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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Q: For the function f(x) = 3x − 5 ln x determine a) Domain of f, b) Critical points of f, c) Intervals…

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: (1) 3. a) In how many ways can the letters in the word DISCOVER be arranged if there are no…

A: Let's solve.

Q: olve the following exponential equation algebraically. 3(2-1) = 215 press you answer to the nearest…

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Q: a. Carbon-14 has half life of 5730 years. If initial mass of carbon-14 was 7 grams how much it will…

A: We need to find remains of carbon. As per Bartleby's guidelines we can solve one question from…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Suppose you are asked to list, in order of preference, the 3 best movies you have seen this year. If…

A: Let's solve number of ways.

Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: 2. find the derivative 725 - 2z² - 3z + 12 Enter your answer

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Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: Evaluate the fsinz integrais belovo sin² xcsc 2x dx

A: Evaluate the integral

Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: 6. Assume that a 3 x 3 matrix A has three eigenvalues A₁, A2 and A3. If A₁ = A₂ = 2, A3 = 6 and the…

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Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile) (12mile to…

A: 6 inch to 1 mile 12 mile to 1 inch

Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = Σ n…

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Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: Find the mass of the thin bar with the given density function. 2 p(x)=x√ 16-x; for 0≤x≤3

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Q: (1) 2. Determine the total number of different outfits you can create from your closet if you have…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: A consultant determines that the percentage of people who will have responded to an advertisement…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: Use the Factor Theorem to determine whether x+1 is a factor of P(x)= 2x4 +2x3 -6x2 +6…

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Q: Find the volumes of the solids generated by revolving the region about the given line (a) u = 3r.…

A: Let's find volume of solid(V).

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7 choose the right answer

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: Solve: x^2dy - y(x+y)dx = 0 O x+y=Ce^(-y) y Ixl=Cx^2 x=Ce^(-x/y) O x lxl = Cy^2 Oy=Ce^(-xy) O y…

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Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

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