Find the positive t when the vector r(t) = (10t, 9t², 6t² - 43) is perpendicular to r' (t).

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Q: If cot(x)=8/11 (in Quadrant-I), find cos(2x) = ------ (Please enter answer accurate to 4 decimal…

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Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

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Q: 13. A particle moves along a line so that at time t, where 0 ≤ t ≤ π, its position is given by t²…

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Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A: We have to find the critical oint and classify it.

Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (y -…

A: We have to solve the given differential equation by Coefficients Linear in two variables.

Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: A rectangular storage area is to be constructed along a side of a building. A security fence is…

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Q: Translate the given system of equations into matrix form. x + y = z = 6 7x + y + z = 4 3x + N|M =…

A: To translate the given system of equations into matrix form.x+y-z=67x+y+z=43x4+z3=1

Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

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Q: The D.E. of the cubics cy² = x²(x − a) with “a” held fixed is a. y(3x - 2a) = 2x (x -a)y' (a). c.…

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Q: Consider the curve given by x = t³ +2t² - 4t + 7 and y = -8t+t². (a) Find the equation of the…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. 4 3 f(x) =…

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

Q: Convert the equation 8x² - 8y² = 6y into polar form. Express your answer as an equation r(0).…

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Q: 81 81 Suppose that a₁ = 24 and b₁ = 30. Compute the sum. Σ i=1 i=1 81 Σ (6a; +23b₂) i=1

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Q: Question Determine the 8-values for the points of intersection of the graphs of the polar curves r =…

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Q: Answe

A: We have to determine the definite integral such that represent the area according to the given…

Q: true or false?

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Q: (b) Parametric equations: Rectangular equation: Parametric equations: y=2 sint X || y= 0 11/13x + 4…

A: Ques (a) Rectangular equation: x2+y2=4x2+2sint2=4x2=4-4sin2tx2=41-sin2tx=41-sin2tx=4(cos2tx=2cos(t)…

Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

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Q: 1 X. Xx4 + 4 +8 dx

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Q: Write the Taylor series for f(x) = sin(x) at x = 2 Find the first five coefficients. Co= C1= C₂= C3=…

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Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

A: We need to find minimum rquirments.

Q: Given the price-demand and price-supply equations below, determine the equilibrium price.…

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Q: ind the fun 8 f(x) = x ³₁ absolute maximum and -1≤x≤8 Select the correct choice below and, if…

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Q: Write the Taylor series for f(x) = x³ about x = 4 as Σ²₂(x − 4)". n=0 Find the first five…

A: The given function fx=x3. We have to find the first five coefficients of Taylor series for fx…

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: The temperature of a city t hours after 8am is modeled by the Function T(H) = 70 +19 sin(πtt/12)…

A: The tempearture of a city, t hours after 8 am is modeled by the function,Tt=70+19 sinπt12.To…

Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

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Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: we will find the required.

Q: che marginal cost for ski gloves is C'(x) = 5.5x + 10.5 and C(0) = 351, find the cost function. [x)…

A: Given query is to find the cost function.

Q: Evaluate the integral. 1²= xex Jo (1 + x)² dx

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Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t…

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Q: luate the integral. [² ( 3 + 1 0 ² - 1 0²³) OU du

A: Given query is to find the integral.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Solve for the variable in each equation below. Gi (a) log(y 1) + log(y + 1) = log 8 -

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

Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

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Q: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

A: Find the eigenvalues An and eigenfunctions yn(x) for the given boundary-value problem. (Give your…

Q: 17. 8 Σ n=1 (−1)" x" na η

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Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

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Q: 2) Consider the function F(x) = ₁ dt. a) Evaluate F (e²). Type the exact answer as an integer. b)…

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Q: Find the general solution of the given system. dx dt (x(t), y(t)) dy dt = 9x - y = 5x + 5y

A: Please see the below answer.

Q: Find all the relative extrema and saddle point(s) of f(x,y) = 3xy2 + x3 - 3y2 - 3x2 +

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Q: 9 -9 0 √√81-x2 dy dx

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Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to C'(x)…

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Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with…

A: we need to solve the given initial value problem.

Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1