ections at the given point

Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

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Q: Simplify the following witfacet casing the conjugates of the debominator 1-) 25 3+4i

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: Find the area of the given region. y = sin(x) y 2 R|4 + + T Зл T

A: In this question we have to find the area of the given region.

Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 4xyz + 6yz²…

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Q: Utilice la regla del producto para derivar y = (2x² + 2x + 1) (3x - 4) Llene los blancos (sombreados…

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Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

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

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A) 7 5 A

A: We have to find the exact value of the trignometric angle A, csc(A)=? Since ABC is right triangle,…

Q: At which octant will you find (-8, 13, -1/2)?

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Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…

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Q: What is the general solution to ya dy dx ○ y = ±₁/2. + C 4x In(4) o y = +. o y = o y = + 4x In(4) +…

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Q: Find the exact value of the expression in radians and degrees. tan 1¹ (1) Find the exact value of…

A: This question can be solved using the concept of inverse trigonometric inverse.

Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A: The function is c(x)=2x2-12x+17. Then we have to answer the following... The graph of the function…

Q: Explain whether or not the Quotient Rule should be used to find the partial derivative. Do not…

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Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Calculate the double integral. 16 9(1+x²) 1+ y² dA, R = {(x, y) | 0 ≤ x ≤ 5,0 ≤ y ≤ 1}

A: Please see the below picture for detailed solution.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: Calculate the sum of the series Σ n = 5-6(0.6)" 00 n = 1 n whose partial sums are given.

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Q: 8. n=1 (−1)n-1 n². 2n (error] < 0.0005)

A: Solve by adding partial sums

Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

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Q: Find each of the following for f(x) = 6x² - 6x +6. (A) f(x+h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A: In this question we have to find the following given parts in the question.

Q: The owner of an apartment tower rents out each of her 250 apartments for the sum of $300 per month.…

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Q: Solve the given initial-value problem. y(x) = = y" + 6y'7y - 11e2x, y(0) = 1, y'(0) = 1 = -7.x 7e…

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Q: Rewrite the following equation with the variables separated. tan(y)y' = 4 cos(x) O sin(y) dy = 4 dx…

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 7x - 3x² g(x) = c₁f₁(x) + C₂²₂(x) +…

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Q: f(x)=x²-16x³ +61x² + 8+2i is a zero Part: 0/3 Part 1 of 3 +112x-476

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Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the…

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Q: Evaluate cos/dx 2 1) co S

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Q: 2) S (x³ - 7) dx

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Q: 1.) Sand hole conical pile altitude always 1 4 of increasing when the 14 pouring from a the conical…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

A: Using substitution and differentiation,

Q: 3. The radius of a sphere ball is measured at r = 25 cm. Estimate error in the volume and surface…

A: The radius of a sphere is measured at r = 25 cm. We have to estimate error in the volume and surface…

Q: Question 2 i 1: a)' Solve the following linear system in detailed, by using Gauss-Jordan…

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Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: Prove that (3-2)(x+2) = 3+2i ifitues.

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Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: (c) State the Fundamental Theorem of Calculus Part II.

A: In this question we have to state the Fundamental Theorem of Calculus Part II.

Q: Evaluate fetanx sec² x dx

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Q: 1-). 25 2-) 3+4i 3-1

A: