Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

Q: 1. Let h(x) 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists a value c between…

A: Let's find value of x by using intermediate theorem.

Q: K The function p(t) = 2000t 4t+75 gives the population p of deer in an area after t months. a) Find…

A: we need to find out the derivatives.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: A developer is considering buying a building for $267,000. She will use a straight-line depreciation…

A: given in 60 months , recovery value  is  $0initial value is $267000let y be the value of the…

Q: Find the limit. lim X→ 7+ x² X 49

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Q: Assume that the function G(x) is measured in zots and x is measured in toots. What units would G'(x)…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 7 1 10 2 3…

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Q: A tank with a maximum capacity of 200 L contains salt water and is initially half full. The 100 L of…

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Q: The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the…

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Q: Tomi flies a drone in a circular path around an object that is 180 yards east and 180 yards south of…

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Q: Find f'(x). f(x) = 5 AIG X +x/+

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Q: Given f(x) = 4 sin x cos x, find f'(x). f'(x) =

A: Given: f(x)=4sinxcosx

Q: Find the derivative of f (t) = (6t³ – 2t². fl (t) = +1) 45. 囡囡

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Q: 6. Let y=f(x) be the solution to the differential equation 2x-y+2 dx with the initial condition…

A: We have no. Of steps =h  And we have to find y(3).

Q: 1 b Given: (x is number of items) Demand function: d(x) = 370.3-0.4x² Supply function: s(x) = 0.3x²…

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Q: Sketch the graph of a function f that satisfies all of the given conditions. lim f(x) = 1, lim f(x)…

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Q: Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

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Q: x² + A X find the value of A. 3. Suppose that f(x) 1 8' If f'(2) = = where A is a constant.

A: f(x)=x2+Axf''(2)=18d(xn)dx=nxn-1

Q: Find a formula for the nth partial sum of the series 4- 3 th The formula for the nº partial sum, s…

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Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

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Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

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Q: Given: (x is number of items) Demand function: d(x) = 518.4-0.5x² Supply function: s(x) = 0.4x² Find…

A: here we have to find the producers surplus.

Q: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22º. How far…

A: Given: From the top of a 198-ft lighthouse, the angle of depression to a ship in the ocean is 22°.

Q: Find an antiderivative of the function f(x) = (2x + 1) ¹/². 1/2

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Q: Use integration by parts to find the integral. ( √x xeax dx (a = 0)

A: Given integral ∫xeaxdx

Q: 6. 7 dy dx dy = x² 1 + y² y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the limit. x²y + xy² lim (x, y) → (3, −2) x² - y² X

A: We need to find out the given limit.

Q: ass on a spring bounces up and down in simple harmonic motion, modeled by the tion s(t) = 4 cos(t),…

A: Given query is to find velocity and accepted the spring.

Q: (a) Approximate the definition of the derivative with small values of h. (b) Use a graphing…

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Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

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Q: Given then lim h→0 is f (x) = O a b с d f(3+h)-f(3) h -1/3 -1/9 1 X, 3 9

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Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

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Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

A: Given query is to find indicated limit.

Q: Solve. Be sure to show and explain your work. log₁(x + 3) + log(x − 3) = 2

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Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Current Attempt in Progress For g(x)=x² + 3x + 2, find and simplify g(4+h)- g(4). g(4+h)-g(4) =

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Q: (a) f(x) = (b) f(x) = (c) f(x) = (d) f(x) = 1 + 5z - 6 -z+3 z²+z-30 2-5 2 27 - e 2x + 1 sin(TZ)…

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Q: 7. A function f has a Maclaurin series given by x³ + x²x² 5 X' 3! 5! n 2n+3 (-1)"x²+3 X (2n + 1)!…

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Q: r(1)=2 13. y'=xy³(1+x²)-1/2, y(0) = 1

A: given  y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12dyy3=x(1+x2)-12dx

Q: n equation of the line that passes through the given point and has the indicated slope m. Point…

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Q: Q.#8 To date, we have used the standard form of the Chain Rule: [f(g(x)]' = f'(g(x)) g'(x). used by…

A: h(x)=f(g(x))=(3x+5)3  f(g(x)'=f'(g(x))g'(x)

Q: Which of the following vectors is perpendicular to (2,−1, 3)? A. (1,-1,-1) B. (1,1,1) C. (-2,2,3) D.…

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Q: Use a tangent plane at (8, -12) to approximate the value of the following function at the point…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Topic - derivative of a function We are given that 4x2+xy+2y2-40=0 , (1,4)we know…

Q: Find the following limit for f(x) = 7 - 2x: lim h-0 a b с d 7 -2 0 does not exist - f(4 + h) = f(4)…

A: The given function is f(x)=7-2x We have to find the limh→0f(4+h)-f(4)h.

Q: 3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) =…

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Q: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

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