What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by filling in the boxes. 17 5 /

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: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.

A: We have to find the improper integral.

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: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: The interval solution to the inequality (-2,2) □ (-∞,2) [2,00) (-2.21 3(x + 2)² - 6x(x + 2) (x + 2)4…

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Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

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Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: 1. Consider the following vectors a= [1, 3, 2] & b = [-2, 2, 1] a. Draw each vector on a grid b.…

A: a→=1,3,2 ,b→=-2,2,1

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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Q: ∞0 (x+1)" n=1 Vn4n

A: Use the Ratio test

Q: Find the equation of the tangent plane to z = e²+x+x³ + 10

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Q: Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the…

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Q: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

A: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

Q: Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy =…

A: Given data differential equation  ye-xdydx=x

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

A: Given: f'(x)=1+ex+5xf(1)=7+e We are required to find: f(x)

Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: X cos(x) dx?

A: ∫xcosxdx

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

A: ∫0∞e5-2xdx

Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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

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Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

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Q: (b) y = ln(cos x) on the closed interval 0 ≤ x ≤ π/3

A: The length of curve y=fx is∫ab1+dydx2dx

Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

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Q: Question 4 Given that v = (0, -2) and w=(5, -8), what is w - v? A B C D (-5, -6) (-5, 6) (5,6)…

A: v =<0,-2> w = <5,-8> We have to find w-v

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: Find the mass of the two-dimensional object. An oversized hockey puck of radius 5 in with a density…

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Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

Q: Find the angle between the vectors (3, 1, 1) and (2, 0, 1). Use a calculator if necessary. (Round…

A: We know that the angle between two vector formula cos(theta)=(u.v)/(|u|•|v|)

Q: To establish a "rainy day" cash reserve account, a certain company deposits $11,000 of its profit at…

A: We have   P = 11000    r = 1.55% = 1.55/100 = 0.0155 Compund quartely: n = 4   t = 4 in first    t =…

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The given differential equation is;  9y''-16y=sin(x)

Q: x cos(x) dx?

A: ∫xcosxdx

Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

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

Q: ate the me tegral, √ xy² xy² ds, C is the right half of the circle x² + y² = 4 oriented…

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Q: What is the value of csc() if the terminal side of the angle intersects a circle at the point (-8,…

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Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

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Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

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Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: MATCHING LIST Match each pair of vectors with their dot product. v = 6i + 7j and w = -8i + 9j v=3i -…

A: (a) given v=6i+7j and w=-8i+9j