Lines intersect in a point in two-space but do not intersect in three-space. True False

Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

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Q: 1 9 3 * 3 2 * -2 4 - 4 -4 The graph above shows the base of an object. Compute the exact value of…

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Q: Approximate the area under each curve over the specified interval by using the indicated number of…

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Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…

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Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

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Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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Q: Find the exact slope of the tangent line to the parametric curve t = ㅠ 3 Give an exact answer, do…

A: We know that the slope formula of parametric equation is  dy/dx=(dy/dt)/(dx/dt)

Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: 13. For f(x) = -x³ + 3x² + 9x, find the followings. a) Find f'(x) and the critical points. b)…

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Q: 2 e3t cos(400nt) 8(t – 1)dt

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Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The graph of a function f is shown. O O Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: Consider the following. ) = \, P(7, 1), u = i + j y 5 (a) Find the gradient of f. f(x, y) Vf(x, y) =…

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

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Q: J 2x cos(x²) esin(x²) dx

A: Integration of  2x.cos(x2)e^sin(x2)dx  We have to calculate du after suitable substitution

Q: 2. Consider the function: a) Determine the derivative. y = 2sinx b) Calculate the exact value of x…

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Q: Consider the following graph of y = f(x): -10 -8 -4 -2 10 0 -10 Which of the following could be the…

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Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Solving the problem

Q: Evaluate the given definite integral. 6 x√x-6 dx

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Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x

Q: 4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin…

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Q: f(x) = 2; ; хо = -3

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Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: 2. A 300 cm long feed trough, in the shape of an isosceles triangular prism, is to be made with…

A: Let base of isosceles triangle =2x cm As we know altitude is perpendicular bisector to base of…

Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

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Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A: Given integral  ∫0e0ln( 2x )dxAs we know that e0 = 1∫01ln( 2x )dx

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

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Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at x=

A: f(x)=sin2x+sinx at x=π

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: The two forces acting on the handles of the pipe wrenches constitute a couple M. Express the couple…

A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j