The Cartesian equation of the straight line tangent to the plane curve given parametrically by the vector equation 7 (t) = (t² + t + 1)i + (t²-t + 5) at the point (1, 7) on the curve is given by : y = mx + b. Enter the value of " m " in Blank # 1 and the value of "b" in Blank # 2. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please Blank # 1 Blank # 2

Q: Evaluate the limit lim f(t) where f(t) 7' + 19'\ for t 0. 2 lim f(t) =

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Area: 7A square centimeters

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Q: 9-x2 dx x2 Evaluate:

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Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

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Q: 15 17 23 28 ? 40 28 8 3 12 13 2.

A: Consider

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Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: // Find the Area bounded by: x = -y2 and x = y- 2

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Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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Q: Evaluate the indefinite integral given below. ∫ x(x+7)4 dx

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Q: 3. Evaluate yn x dx

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Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: Find the sum of the first 125 positive even whole numbers.

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Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

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