3x²-2 do 3 2x - 4x

Q: Apply the Mean Value Theorem tof on the indicated interval. Find all values of c in the interval [a,…

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Q: Set up the definite integral required to find the area of the region between the graph of y = = x² y…

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Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: The parametric equations for the paths of two projectiles are given. At what rate is the distance…

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

Q: (a) √ (e² +2²) dz (b) f 3² dr

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Q: w = sqrt(25-4x2- 4y2) ,  x=r cos(theta) ,  y=r sin(theta) (b) Find del w / del r and del w / del ?…

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Q: II. Anti differentiate the following. D. (ANTIDERIVATIVES by Substitutions) 1. Evaluate [(x + 4)5…

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Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

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Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Evaluate fx and fy at the given point. f(x, y) = e¹³y sin(x), (π, 0) fx(π, 0) = (No Response) fy(π,…

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Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

A: We have to find the suitable form of Y(t).

Q: Which of the following rational functions is equivalent to the partial fraction decomposition Select…

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Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: Solve the following triangle. B = 70°, C = 50°, b = 8 O A (Simplify your answer.) a≈ (Type an…

A: We will use law of sines to solve this question.

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Find the critical value 5x+1/x

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: Use the implicit differentiation to find dy/dx. Then find the slope of the curve at the given point.…

A: By using the implicit differentiation to find dydx. Then to find the slope of the curve at the given…

Q: Solve the following initial value problem: y(t) = = dy dt +0.9ty = 6t, y(0) = 1

A: Given: dydt+0.9ty=6t,      y0=1

Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 7 + cos(2t). NOTE: Use C₁,…

A: To find the general solution of the given differential equation.

Q: 1. Find for 2³-y³+r²y = 10

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Q: IV. Approximate the following up to 4 decimal places using Maclaurin’s series. 1. sin (110°) 2.…

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Q: integral of cos x sin^3 2 x dx

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Consider the following. f(x, y) = 6x9y (a) Find f(5, 3) and f(5.1, 3.05) and calculate Az. f(5, 3) =…

A: Let's find total diffrential.

Q: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: The integral is improper. Select one: True O False 2 [₁² 2x -3 x² - 9 - dx

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Q: B a A b Use the right triangle and the given information to solve the triangle. a=2, c = 4; find b,…

A: Let's solve given triangle.

Q: 2. Suppose that f (x, y), g(x, y) are two continuous functions on the xy plane. Is it true that So…

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Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), t 1 - 12 21 √12 - 4

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Q: Part b: We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and fxyx…

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Q: Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

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Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: 3) Determine whether or not the following 3D vector fields are conservative: a) (y²-z³)i + (2xy +…

A: As per the company rules we are supposed to answer only the first question and rest can be reposted.

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Calculus I Find d^2y/dx^2 for x + y^2 = 3

A: Solving the problem by finding the value of the problem.

Q: 2. Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature…

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

A: Understanding of definite integral is required in order to solve these types of problems. Definite…