Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

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Q: Let a = (4, – 5, – 4) and b = (4, 3, k). Find k so that ā and b will be orthogonal. k =

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Q: a+sinx If the function f(x) is continuous at x-0, then a = 2+2acosx x<0

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Q: For vectors i : onto v. and w = calculate the scalar projection of w %3D comp;w (Give an answer…

A: scalar projection of w on v is =v.w|v||w|compvw¯=…

Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim Xn inf {xn :…

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Q: n3 - 2 1. Find Lt n+0 2n° + 3n - 4

A: Simplify the fraction and solve the limit.

Q: Evaluate the limit below. 36 – x2 - 6 lim 5x

A: We have to evaluate the limit                                                limx→036-x2-65x

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A: Reducing to partial fractions

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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Q: Draw a function f(x), defined for all real numbers x, with one local maximum and two local minimum.

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Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: Question 1 Consider the following IVP: x" - 4x' + 4x 4e2, x(0) = -1, x'(0) = -4 Find the general…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Find the area enclosed by the x-axis and the curve y=1tet v=t-t2. (Show all work separately and…

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: An object hangs from a spring balance. The balance registers 36 N in air, 25 N when this object is…

A: given

Q: A particle is moving with acceleration a(t)= 18t+4 its position at time t= 0 is s(0) = 5 and its…

A: Given query is to find the position of the partical at t = 4.

Q: Kindly write the step by step solution. Two particles, A and Bare in motion in the xy-plane.…

A: Two particles,A and Bare in motion in the xy-plane.Their coordinates at each instant of time t…

Q: What is the angle between the diagonal of a cube and one of its edges? • Hint Angle = radians (Give…

A: Solving

Q: A 324 g sample of a mercury isotope has a half-life of 2 years. After 7 years, how much of the…

A: Initial Amount A(0)=324 g half life  t12=2 years

Q: Arctan'ax dx= b Arctan"3x +C , what is b? 1+9x²

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Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: Given the graph of f'(x) below. (a) Find the intervals on which f(x) is concave up/concave down (b)…

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Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: The Plat circular plate has the shape af the region x+y<1. The plate including the boundary Hiw…

A: Temperature at the point (x,y) on the disk  x2+y2≤1 is given T(x,y)=x2+2y2-x

Q: Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method…

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Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: (0 if –2…

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Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: Apply region based segmentation for the sequence: F={7,5,9,1,10,2,9,12,4,11,3,17,16,19,15}…

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Q: A farmer's house sits 3 miles due south of a river. The diagram below shows the path that the farmer…

A: First assume a distance as x then make the relation between total  distance  and x.. And then for…

Q: Find a complex number z such that |sinz|>1

A: We have to find a complex number z such that |sin z|&gt;1.

Q: A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string…

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Q: How can the area be negative?? This is incorrect! Please correct the answer!

A: Apologies for the inconvenience. Last line was a mistake.    Step 3: Line 2 of the original solution…

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Find the area bounded by these curves. (All choices are in sq. units) x = 2y? x = 4+ y?

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Q: Given –6i is a root, determine all other roots of f(x) = x + 2x² + 36x +72. x= -6, ±2i x = -2, +6 x…

A: Given query is to find the other two roots.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

Q: * sin" (3y) cos" (3y) dy 10 (3y) dy COS 15360 111546435 256 156009

A: Given:   Given:    ∫0π6sin133ycos103y dy

Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x&gt;3To find : Find the values of a and b such…

Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: Determine whether the statement is true or false. Justify your answer. 5x +5 Ax +B Cx +D For the…

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