If sin(0)=-4/7 and 0 is in the 4th quadrant, find cos(0) Enter your answer as a reduced radical. Enter V12 as 2sqrt(3) Answer is √33 over 7,

Q: Determine whether the following series converges. Justify your answer. ∞ Σ k=1 8 + cos 5k k8

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Q: For the function f(x) = 3x² - 4, write Newton's formula as n+1 = F(n) = In - f(x) = 0. Type in x_n…

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Q: The first derivative of the continuous function y = f(x) is given below. Find y' and then use the…

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Q: obtain the equation of f(t) or y(t) taking into account the following differential equation ty'' -…

A: Given differential equation is  ty'' - y' = t2

Q: Evaluate the line integral by applying Green's theorem. a) OT b) 00 c) O eπ d) O-T e) 2π f) O None…

A: As we know from Green's theorem: ∮CMdx+Ndy=∫∫R∂N∂x-∂M∂ydxdy   From the given problem:…

Q: the answer is incorrect

A: I have rechecked the solution. The answer and explanation is absolutely correct for the particular…

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: 1) for what value of k does kx² + 7x-6=0

A: See this solution in below.

Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

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Q: Show steps and find the exact value of 3x+4 dx . Do not use Table Entries. x² +4 T

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Q: A particle moves along the x-axis with position given by x(t) = 2 sin (πt) — 5 for time t > 0. Find…

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Q: 6. Use a Table Entry to find the exact value of 0 2x sin(7x) dx.

A: Solve by by parts method

Q: 1. In the diagram below ARTS AUTS. Give a rigid motion that maps ARTS onto AUTS. Explain how the…

A: We will find the rigid motion which will make these two triangles congruent as following.

Q: If f(x) = 7x² - x + 5 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h ||

A: a) Replace x by (x+h). b) Substitute the required.

Q: For which values of a does Σ(n + 2)!g* 70 converge? If the answer is a finite list of a-values,…

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Q: Below is the graph of y = f(x). Find 5 10 10 f(x)da. Round your answer to three decimal places.

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Q: Suppose that a sequence is defined as follows. a₁ = -3, = 3an-1 +5 for n ≥2 = an

A: given  a1=-3an=3an-1+5a2=3a1+5

Q: 3. The concentration C(t) of a salt solution is given by the formula to the right, where t is…

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Q: A sphere has volume V = 600cm . What is the volume of the largest cylinder that can be placed within…

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Q: Find f-1 (z) for f(x) = 9+10x. Enter the exact answer. Enclose numerators and denominators in…

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Q: Find the limit of the following sequence or determine that the sequence diverges. {In (n³ +8) − In…

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Q: On one set of coordinate axes, graph the family ofparabolas f1x2 = x2 + bx + 1 for b = - 4, b = 0,…

A: We have to graph the family of parabola.

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10 ft above the…

A: NOTE: Refresh your page if you can't see any equations. . here we have y=10 ft (height of the ring…

Q: Consider a cost function of the form C(x) = { 20,000+ 980x - x² 0 for 0 ≤ x ≤ 1,000 for x ≥ 1,000.…

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Q: 3 Sh y cos (x²) dxdy. Then evaluate the interated y² 10. Sketch the region of integration for…

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Q: Find equations of both the tangent lines to the ellipse x² +9y² = 81 that pass through the point…

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Q: A manufacturer produces a toy sold during the summer season at a unit production cost of $5. The…

A: The maker's normal benefit is $1,000.    $5 creation cost x 200 toy units = $1,000              $2…

Q: Determine the radius and interval of convergence of the following power series. x2k+1 13k-1 Σ

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1 3x² + 2x + 1 x + 2 1 (A) B C D 8 15 1 dx -8 + 9 ln 3 16+ 17 ln 3

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Q: Give the value(s) of a for which the columns in the matrix are linearly dependent. a) O (-7,2} b) O…

A: We have to find the possible values of a.

Q: 4. Given x² + 9xy - 10y² = 0, Find the equation of the normal to the tangent line at the point (18,…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: 105 105 Suppose that a; = 17 and b₁ = 26. Compute the sum. i=1 i=1 105 Σ (30a; + 29b;) i=1

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Q: Problem #1: Let Problem #1: F(x, y, z)= (6x5 ln(7y² + 5) + 8-4) i + Evaluate 141x6 7² +5 and let…

A: Given Vector function is conservative. We use Total derivative concepts to solve this problem.

Q: Solve the equation. Write the numbers using integers or simplified fractions. tan (-3x)=1 Part: 0 /…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Estimate the area under the graph of 1 f(x) = over the interval [1, 6] x² + 2 using four…

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Q: If f(x) = x³ - 8/x, find the following. (Give exact answers. Do not round.) (a) f(--/-/-) (b) f(2)…

A: Given  fx = x3-8x

Q: The net worth, f (t), of a company is growing at a rate of ƒ' (t) = 2000 - 121² dollars per year,…

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Q: 4.82. Show that f/2 sin² z dz= f/² cos² z dz = π/4.

A: To show that, ∫0π2 sin2 z dz=∫0π2 cos2 z dz=π4.

Q: Evaluate the line integral by applying Green's theorem. f(3x² + y) dx + (y²³ + 5 x) dy C: 9x² + 25…

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Q: For the function f(x) = 4(2)* 6, state its domain, range, and asymptote and then graph the function.…

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Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Determine the radius and interval of convergence of the following power series. Σ(-1)*** 8k

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Q: Find the exact value. Write your answer as an integer or single fraction in simplest form.…

A: We can find the answer in the below steps.

Q: Determine whether the following series converges. Justify your answer. 8 k Σ (-9)* k=1 Select the…

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Q: Suppose that P dollars are invested at a nominal interest rate of r compounded continuously. Find an…

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Q: Evaluate Lola² + 2x + 1) dx + (2xy + 4y - 1) dy along the given path C from (0, 0) to (2, 4). C is…

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Q: what factor and direction the graphs of the given functions are to be stretched or compressed. Give…

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Q: Which of the following is equivalent to ® / ² / du. A U B C -du, where u = x² - 16 2121/12/17/1/2 2x…

A: See this solution in below.

Q: The length of a shadow of a tree is 116 feet when the angle of elevation of the sun is 0°. 0 116…

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