sec²0-tan²0+ tan0 sec = sine + cos 0

Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t AF)-¹2-1521)²…

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Q: Find the values of x, y and z that correspond to the critical point of the function: 2 = f(x, y) =…

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Q: A ball is thrown upward in the air, and its height above the ground after t seconds is H(t) 58 t…

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Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

Q: Please snow your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = eª*…

A: Given, f(x,y) =e4xsin(4y)    Find gradient at (x,y)=(1,2)

Q: Suppose ƒ (x, y) = , P = (1, −1) and v = 2i – 2j. A. Find the gradient of f. Vƒ = Note: Your answers…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: simplify the expression:  tan^2theta/sec^2theta+cot^2theta/csc^2theta

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Q: Find the general solution of the given differential equation 2y" + 3y + y = t² + 3cost

A: Given:2y''+3y'+y=t2+3costhere y'=dydt and y''=d2ydt2

Q: Consider the following infinite series. Complete parts (a) through (c). 2 13K-1 Σ k=13k a. Find the…

A: Given data, ∑k=1∞32k-1

Q: et F and G be vector-valued functions such that (t) = (cos(πt), e²t−1, t² − 1), Ġ(1) = (1,1,−1),…

A: Given:- F→t=cosπt,e2t-1,t2-1 G→1=1,1,-1 G→'1=2,3,2

Q: In the previous Problem Set question, we started looking at the position function s(t)st, the…

A: Consider the position function s(t)=e5tsin(7t)   Formula  v(t)=ddt(s(t)) Product rule of derivatives…

Q: given costheta=5/13 with theta in QIV, what is the value of 2theta?

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Q: 3. For Z= xtanxy,evaluate Zyy

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Q: me differential equation as a solution y=- nen: = || || I I I -5te4t y"""' + ay"" +by" + cy' + dy +…

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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 9x+8 V = 2x + 1³.

A: The given equation 9x+8y=2x+y3 We have to find the derivative using implicit derivative.

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: If an arc has a length of 3 does this cover an angle less or more than 180 degrees and why?

A: We need to describe arc length.

Q: Find the Linearization L(x) of the function at a. a) f(x) = x^2 -x+2, a=3.

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Q: Determine the domain and range of f(x) = 4(x − 3)² + 4. Enter the solution in interval notation.…

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Q: Find the least squares regression line for the points. (0, 5), (3,

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Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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Q: (3) Sketch a curve y = f(x) that satisfies: f(0) = 3, and dy dx -2. What is f(x)?

A: The function y=fx that satisfies f0=3, and dydx=-2. We have to find fx and sketch its graph.

Q: Find the vector needed to translate from point (4,1) to point (8,3). Translate (-1,2) by the same…

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Q: Graph and describe transformation of the following function: f(0) = -3csc (0+)-1 where 0 ≤ 0≤ 2. Use…

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Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: 9. 11 . + У

A: Note: Since the student has mentioned to solve only question no. (9), so we are solving only…

Q: Find the Differential Equation whose general solution is y = C₁e-¹/² + C₂e-4t O 2y" -9y' - 4y = 0…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 5 T²S²³² Evaluate Answer: zx^hx xy√x² + y² dy dx.

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Q: Consider the shape with vertices (1,3),(4,7),(0,10),(-3,5) translate the rectangle so (1,3) lies on…

A: We need to transform the coordinates.

Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: after 5 years, you have $14,472.74 in an account that was accumulating interest at 5.5% that was…

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Q: The position function for a falling objects is given by s(t)=−16t2+v0t+s0, where s(t)st is the…

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Q: Write f(x)=3x^3-3x in terms of y

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Q: 5. Expand the logarithmic expression and simplify. In e' (+1)*

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Q: Let the graph of f(x) be given below. Find the formula of f(x), a polynomial function, of least…

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Q: Suppose R is the triangle with vertices (-1,0), (0, 1), and (1,0). (a) As an iterated integral, JJ…

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Q: 1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance…

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Q: The auxiliary equation of y"" - 4y" - 4y' + 16y = 0 is r34r²4r + 16 = 0. The auxiliary equation has…

A: Given; f(r)=r3-4r2-4r+16 , [-0.75,3.75].

Q: Let Find dy || ¹. y = f(x) = arcsin In 7x. dy dx

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Q: Find the general form of the quadratic function with the vertex (2, 1) and a point on the graph (-2,…

A: The quadratic function has vertex at 2,1 and a point on the graph -2, 17. We have to find the…

Q: Q= (a) Find the point that is a distance 0.1 from the point P = (5,6) in the direction of v = (1,…

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Q: Suppose the position of a moving car after t seconds is given by the equation s(t) = t³ − t² + 2 on…

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Q: Parameterize boundary of triangle (0,0),(5,0),(3,9)

A: We can parameterize the triangle in the below steps.

Q: Consider the function f (x, y) = = √x² + y² - 4 x - 1

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Q: The current population of a certain state is 12,347. Over the past decade, there have been deaths of…

A: Determine the population before the said deaths began

Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: Rewrite the quadratic function f(x) = x² + 4x − 8 in standard form, f(x) = a(x − h)² + k, and give…

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Q: 8. Find the directional derivative of f(x, y) direction of the point P to the point (4,1). = 2√x -…

A: directional derivative of f(x,y)=2x-y2 at the point P(1,5) in the direction of the point P to the…

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: Find the general form of the quadratic function that has a vertex of (-4,-1) and a point on the…

A: Equation of quadratic function having vertex (-4,-1)