Find the distance from the point (-4,-7,-5) to the line a(t) = ( − 4, 5, 2)t + (2, 4, — 5)

Q: Consider the piecewise defined function shown below. Assume m is a constant and m + 0. Note: Use…

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Q: If f is continuous on a closed interval [a,b], then f necessarily attains an absolute maximum value…

A: If f is continuous on a closed interval [a, b], then f necessarily attains an absolute maximum value…

Q: Simplify. -4 1 5 -3 ㅇ 2 24 -2 6x -13 28 이 ㅇ 5 -12 05 2 2-4 6 11 0 %] -18 -18 -6, 00 2 16 -2 -6-13 -8…

A: H=-415-3.0-522-46

Q: Compute the integral [31 f(x)dx, where the graph of f is the red curve given in the following…

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Q: Given C'(x) = 7 3 13 -x² + 10x + 21, 2 Critical values of C"(x) are x = O Concave Down interval is O…

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Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: At what point(s) does the curve y = 2x³ - 7 have a tangent that is parallel to the line y = 6x + 5 ?

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Evaluate the integral. (Use C for the constant of integration.) J (arcsin(x))² dx

A: To evaluate the given integral we use integration by parts.

Q: Consider the function on the interval (0, 2π). f(x) = 4 sin²(x) + 4 sin(x) (a) Find the open…

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Q: Let f(x) be the elevation in feet of the Mississippi river x miles from its source. (a) What are the…

A: Here, f(x) is the elevation in feet of the Mississippi river x miles from it's source.

Q: Consider the function f(x) = 2√x+4 on the interval [3,9]. (A) Find the average or mean slope of the…

A: f(x)=2x+4(A) slope=f(9)-f(3)9-3

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 4x + 7y +3 a²h 2²h…

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Q: Find the derivative of the given function. y = x:5× dy dx ||

A: y=x.5xd dx(ax)=axlna

Q: Use the graph of f '(x) below and the letters A, B, C, D, and E representing x values to answer the…

A: Use the concept of derivative, increasing and decreasing of any given function.

Q: 6. Evaluate the integral. Find the antiderivative (indefinite integral) first and use Part 2 of…

A: Integration

Q: 2. Prove div(curl(F) = 0, if F = Pi + Qj+ Rk is a vector field on R³ and P, Q and R have continuous…

A: Let us prove that div. curl F=0 Given:F=Pi+Qj+Rk is a vector field  in ℝ3To show that:∇.curl F=0

Q: Question 5 Verify that the two functions are inverses of one another using composition of functic…

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Q: Problem 2 Consider the function f(x)=1 of 0<x< 1 and f(x)=0 if 1 < x < 4. Find the coefficients an…

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Q: Determine the open intervals on which the graph is concave up or concave down. If there is more than…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Solving the following problem

Q: Consider the function f(x) = 5 - 3x², -5 ≤ x ≤ 2. The absolute maximum value is and this occurs at x…

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Q: Ο 16 Σo (-4)*2 (-1)"2n 4"+2 το 2n=0. που Σ 16 =0 (-1)" ²n 4+2 Σo (4)"an 16 Σño (4)"a2 mari Find a…

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Q: Write the equation of the circle centered at (3, −5) with diameter 12.

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Q: Consider the function f(x) = (x + x)² +9.

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Q: Evaluate the integral by changing to cylindrical coordinates. 9-y² 6 T [T 9- y2 x² + y² xz dz dx dy

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Q: Write the equation of the parabola y = x² - 6x + 14 in vertex form y - k = (x - − h)²

A: Solving the following problem

Q: QUESTION 7 Use scientific notation to perform the following operations. Leave your answer in…

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Q: nd the missing value. y is directly proportional to x and inversely proportional to the square of z.…

A: Given query is to find the value of y.

Q: For the function f(x)=√²+25, find f'(x). Then find f'²(0) and f’(3).

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Q: Find the triple integral Ex dV by converting to cylindrical coordinates. Assume that E is the solid…

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Q: ƒ'(x) = (x+4) (12 — x)(x − 16)

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Q: For the function f(x)=3x³ - 2x²+2x+8, find f'(x). Then find f''(0) and f''(5). f''(x) = 0 www

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Q: Let s(t) = 4t³ + 12t² – 180t be the equation of motion for a particle. Find a function for the…

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Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

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Q: Find the interval of convergence of (-6)" n! n=0 (x + 10)" (Use symbolic notation and fractions…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Write the equation of the ellipse 36. x² + 25 · y² : = 900 in 2 standard form (2²) a + (²2) ² b = 1

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Q: Complete the parametric equations for the line where the planes x + 5y - 12z = 26 and -9x+10y = - 20…

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Q: Textbook Videos [+] If f(x) = 3r(sin x + cos z), find f'(x) = f'(2) = Question Help: Video Message…

A: f(x)=3x(sinx+cosx)d dx(sinx)=cosxd dx(cosx)=-sinx d dx(xn)=nxn-1

Q: Prove by strong induction that root of 2 is irrational.

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Q: Find the vertex of: ƒ(x) = x² − 4x + 7 - The vertex is

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Q: Suppose you know that: What is lim an? What is n→∞ an-2. Let sn be the n-th partial sum of the…

A: Given that ∑an=5 and sn be the n-th partial sum of the series. We have to find limn→∞an and…

Q: Angle a lies in quadrant II, and tan a = What is the exact value of sin (a + B)? Enter your answer…

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Q: At what point on the curve y = 8 + 2ex - 4x is the tangent line parallel to the line 4x - y = 1? (x,…

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Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: Consider the equation. f(x) = ² at (1, 2) x (a) Find an equation for the tangent line to the graph…

A: Given : f(x)=2x    '   To Find : Equation of tangent   &amp; equation of normal at (1,2)