8. SHOW ALL WORK =I Determine the values of the other five trigonometric functions of 8, given that sin 8 sec 0 <0. (Leave answers as exact values, no decimals) -25 and

Q: an+1 Assume that converges to 'p = 3. What can you say about the convergence of the given series? an…

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Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

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Q: differentiate using delta method y= x2-6x+8

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Q: Find the Maclaurin series and corresponding interval of convergence of the following function. f(x)…

A: Let's find.

Q: Find all the values of a such that the given series would converge. Answer: Note: Give your answer…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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Q: (x, y) = x(x + y)

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series where Sk is the partial…

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Q: Find the derivative of f(x) =de 22 Of(x) e (e-2x) ²-e -2x O f'(x)=x²e-2 (-2) O (E) None of these O…

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Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: Describe the graph of the equation. r = 3 sin 16t i - 3 cos 16t j O It is an ellipse in the…

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Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

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Q: 3. Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that has a…

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Q: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4 To find f(x):

Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Evaluate the triple integral zdV where E is the solid bounded by the cylinder y² + z² = 64 and the…

A: Here, to evaluate: ∫∫∫Ez dV where E is the solid bounded by the cylinder y2+z2=64 and the planes…

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: d [r₁(t) · r2(t)] = [r₁(t) × r₂(t)] : = d

A: Given: r1t=costi+sintj+8tkr2t=7i+tk

Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

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Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Find the volume of the solid obtained by revolving y(x) = sin(7x) for 0 ≤ x ≤ about the x-axis. (Use…

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Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: x² 5x w Given that f(x) 3 a) find f'(x) b) find the equation of the tangent line x = 1. 1 12. Given…

A: Let's find.

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: Verify Green's Theorem by evaluating both integrals ON [ v² dx + x² oy - [√(x 0 ) A dy = dA JR əx ду…

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: Use Newton's Method to approximate the zero(s) of the function. Contine Rx)-x+2.7x² +3.55x-2.422…

A: answer is in next step

Q: Monique sells disposable protective face masks made of local textiles for P 12.00 each. Define a…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj – 6√√tk)…

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Q: Let f(x) be a function and let c E R. Which of the following is not represented by the derivative…

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Q: Evaluate the line integral ſ F. dr, where F(x, y, z) = sin x i + cos y j + xz k, where C is given by…

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Q: 1 find the total differential dz. z=xsin y + x² z = (2x² + 3y)² z=5x-7y

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Q: Use Green's Theorem to evaluate the line integral ſ (y + e√x) dx + (2x + cos y²) dy, where the given…

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Q: The function f is defined by f(x) = -2x³ - x² - 6x and the point (-1,7) is on the graph of f. If f¹…

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Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

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Q: onsider the quadratic function f(x) 2²-3x + 10. etermine the following: (enter all numerical answers…

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Q: Verify Green's Theorem by evaluating both integrals ON √ y² dx + x² ov - [/(2x - 2M) da dA R ax ду…

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Q: 3. Evaluate the line integral Sc F. dr where F(x, y, z) = (e², xz, (x + y)) over the curve r(t) = t²…

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Q: Use the Ay dy 1

A: Use the information to find and compare ∆y and dy .     y=x4+2 , x=-3  and  ∆x=dx=0.01

Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

Q: Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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