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Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A: Since you have asked multiple questions in single request so we will be answering only first ques...

Q: Find the paramtric equations for the tangent line to the curve x = t4 - 1, y = t3 + 1, z = t1 at th...

A: Given equation of curve: x = t4 -1, y = t3 +1, z = t1 The point (15, 9, 2) is for t=2, as we...

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

Q: Consider the following. P(x) = 4x4 − 3x3 − 29x2 + 53x + 15 Find all the zeros of the polynomial fu...

A: We have to solve the equation 4x4 -3x3 -29x2 +53x +15 = 0

Q: a) A rectangle is inscribed with its base on the xx-axis and its upper corners on the parabola y=7−x...

A: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7-x2. W...

Q: Solve #4

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Q: Find the value of a when the distance between the points (3, a) and (4, 1) is sqrt(10)

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Q: 1. Choose one of the forms of the FAC (the fundamental approximation of calculus) and an application...

A: FIRST FUNDAMENTAL THEOREM OF CALCULUS The first fundamental theorem of calculus states that, if f is...

Q: #43 Obtain Maclaurin series for the given function

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Q: Calculate the derivative: d Li tandt = t2-1

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Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12 l...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Linear and quadratic equation question

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Q: Find the radius and interval of convergence (assume the series converges at the endpoints of the int...

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Q: Evaluate the indefinite integral. 12 / (3z)5 + 4(3z)²)((3z)³ + 1)“ dz =

A: Given, ∫(3z)5+4(3z)2(3z)3+112dz

Q: 3. Find values. (a) Find all values of z for which e = –1+ V3i. iz3 + iz – 1 (b) Evaluate: lim z400 ...

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Q: Find an equation of the plane that passes through the point (1,-1,1) and contains the line of inters...

A: Let P=(1,-1,1) and n1=<1,1,-1> ,n2=<2,-1,3> The vector a for the line of intersection, w...

Q: Please help me with this problem. Thank you!

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Q: Solve for x

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Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the...

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Q: Find a formula to find the kth partial sum of the following infinite series. Using the partial sum, ...

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Q: . Let f (x) = x³ - ja* . Determine where f is increasing and where f is decreasing.

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Q: Find the exact value of the expression, if possible. Do not use a calculator.

A: The given expression is cos-1cos4π3. Obtain the value as follows.

Q: 15.7.515

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Q: I need to see the steps on how to solve please. Please and thank you!

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Q: 1-z² ¡dz. Evaluate the indefinite integral J 1-z4

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Q: (1 + x)y' + y = 0

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Q: Find the angle between the two planes −2x + y + z = 2, 6x − 3y + 2z = 4 and find a set of parametri...

A: The given planes are −2x + y + z = 2 and 6x − 3y + 2z = 4 . Obtain the angle between them as follo...

Q: Equation of Rectangular Curves Number 1

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Q: Convert the polar equation to rectangular form r=9sin(theta)

A: Some of the basic formulas while converting polar equation to rectangular equation are: x2+y2=r2 x=r...

Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx To find: Value of the limit.

Q: A driver driving along a highway at a steady 49 mph.... (please refer to image) Please make sure to ...

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Q: See attached these are practice problems

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Q: Find the linearization of the function f(x)=(1/3x+2) at x=−1. L(x)= x The exact value f(x) The ap...

A: Since , The equation for the linearization of x at a is L(x) = f(a) + f'(a) (x-a) Here , a = -1 Giv...

Q: 15.7.1

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Q: 1. Does there exist a differentiable function f that is continuous on the closed interval [1, 4], wi...

A: Mean Value Theorem (MVT): If f(x) is continuous on the closed interval [a, b] and differentiable o...