Given that:  f(x)= x7h(x) h(-1)=3 h'(-1)=6 Calculate f'(-1):

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A: Power series derivative

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A: We need to solve given D.E. using Laplace transform.

Q: 8. At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you…

A: NOTE: Refresh your page if you can't see any equations. . here we have FV=1 million= 1000000…

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A: Perimeter of the triangle = 18 cmA triangle has variable sides= x, y, zTotal perimeter of the field…

Q: 7. √√√1-2² Jo Jo Jo z sin x dy dz dx

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Q: Evaluate the iterated integral. ITT* 12 7ze-x7 dy dx dz

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Q: Evaluate the indefinite integral as an infinite series. 7 / ex-x1 dx 4x 00 n = 1 X ) + c

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Q: Let F(x) = √ Find the MacLaurin polynomial of degree 5 for F(x). e - 2t4 dt. Use this polynomial to…

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Q: Find the value of f(-1) when f(x) = 3 tan-¹-5 sin-¹ x. Select all that apply 7 1. f(-1) = T 11 2.…

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Q: The cost of a first-class postage stamp in 1962 was 4 cents. In 1999 it is 33 cents. The cost was…

A: The cost of a first-class postage stamp in 1962 was 4 cents. In 1999 it is 33 cents  And it becomes…

Q: Use the given zero to find the remaining zeros of the function. h(x)=x²-12x³ +32x² +128x-1024 zero:…

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Q: ·[F. dr where F = (-2, -3y,0), and C' is given by F(t) = (t, sin(t), cos(t)), 0≤t≤ñ Evaluate

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Q: ind the point where the plane x-y+2z=9

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Q: (0 points) Find the sum of the following series. If it is divergent, type "Diverges" or "D". ∞ 9n…

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Q: Using the fact that f(x) = ₁¹² = Σox" for |x| < 1 represent function g(x) = 5²+1 as a power series.

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Q: If Sin 0 = 1/57, where 0≤ 0 ≤ 90° 1 what is the exact value of coto?

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Q: C1 C2 C3 Find the following coefficients of the power series. Co 9 C4 = R || || || = 9 (1 x³) = = ∞…

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Q: Sketch the vector field.

A: x y F→(x, y) = y2, x2 2 0 F→(2, 0) = 1, 0 0 2 F→(0, 2) = 0, 1 -2 0 F→(-2, 0) = -1, 0 0 -2…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=(2x)…

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Q: k=2 k (k³ - 1)³/7 3

A: Use limit comparison test

Q: 4. Find dy at x = 3.0 of the function tabulated below dx X y 3.0 -14.000 3.2 -10.032 3.4 -5.296 3.6…

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Q: Let r(t) = Find 7¹ (t) r¹' (t) = < " V

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Q: In 2013, a certain company's annual revenue was 71 billion dollars and growing at the rate of 3.7x +…

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Q: 19. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 4

A: The equation of plane 2x+y+z=4 Graph

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: Find the infinite sum (if it exists): If the sum does not exists, type DNE in the answer blank. Sum…

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Q: OTT 1 1) -1 0 1 -1 -1 0 2 0 6:9-619-68 0 0 0 0 \0 I L 001 0 00

A: 011-101-1-10~ (-1-10-101011)~ (110011011)~ (110001000)

Q: Determine if exists, and if it does, find its value. Select all that apply 1. limit = 2. limit = x²…

A: To evaluate the limit: lim(x → 1) [x² - 7x + 6] / [x² + 4x - 5] We can simply substitute x = 1 in…

Q: 5/4 - -3/4 /2 -TV/4 6- 5 3 2 1 1 2 w 5 -6 1/4 2 370/4 TE Sit Identify the function whose graph…

A: Given graph is cotangent function graph

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Q: etermine two functions, f(x) and g(x), such that f(x) = g(x) = X our answer by finding f(x) V a(r) =…

A: The product of two functions f(x) and g(x) is given as f(x)*g(x) = tan(x).

Q: Find the minimum distance from the point (4,2) to the parabola y² = 8x. A. 4√3 B. 2√2 C. √√3 D. 2√3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate 4 [^3(3²) + 3(1²) dz =

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Q: (x + 2)²² 9 + 2 (y − 1) 25 = 1

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Q: Find the derivative of the function. s = t6et

A: Given s = t6 et

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Q: If a, b are the solutions of the ex equation 2 5x² 25x+3

A: The expression is given as  5x2=2512x+3Re-write 25 as square of 5. 25=52.5x2=5212x+3Simplify the…

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Q: Evaluate lim x→1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

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Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

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