Part A: If h(x) = f(x) + g(x), solve for h(x) in sin

Q: Consider the following. u = 7i + 9j v = -3i + j + 8k Find u x v. Determine if u x v is orthogonal to…

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Q: If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an…

A: We have to find if given series converges or diverges.

Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 06 O…

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Q: Find the area of the region enclosed by the curves x + y² = 0 and x + 4y² = 12. The area of the…

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Q: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

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Q: Find the function f(x) = ax³ + bx² + cx + d for which f(-3) = − 92, f( − 1) = 2, f(1) = 8, and f(2)…

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Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined…

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Q: Find f'(x). f(x) = (7x + 3) (1 - √x) ○ f'(x) = 7(7x+3)6 O f'(x) = 49(7x+3)6 (1 - √x)6- O f'(x) = 1…

A: This question is related to differentiation, We will solve it using given information.

Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: We have to find the value of N.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given: |v|=4, θ=3.1°

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: The objective of the question is evaluate the area by help of midpoint rule.

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: Sketch the region enclosed by x + y² = 30 and x + y = 0. Decide whether to integrate with respect to…

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Q: differential equation: (2x + 3y - 1)dx + (2x + 3y + 2)dy = 0

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Q: ind polar coord in radians (-4₁-4√3) of the points

A: We will solve.

Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

Q: Use Green's Theorem to evaluate the line integral S (y-x) dx + (2x - y) dy for the given path. X C:…

A: Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   Given: I=∫Cy-xdx+2x-ydy and C: y=x and y=x2-2x It means…

Q: After performing the long division on x²-4' we can conclude that the integral S = is the same as X…

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Q: K Solve the triangle. a = 6, c = 5, B = 54° b= (Do not round until the final answer. Then round to…

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Q: In problems below, (a) identify the independent variable (use 't' for the independent variable if an…

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Q: For the following exercises, the given limit represents the derivative of a function y = f(x) at x…

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Q: Find the characteristic equation of the matrix by inspection. -9 6 7 -3 0 30 0 4 The characteristic…

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Q: 1)Determine the equation of the tangent line to the intersection of the surfaces x²-y=0 and y+z²=16…

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Q: x³ Evaluate S- -dx x + 2 In/x* +2+c 4 O In x4 +21+ C 00 (x² + 2)² +C 2 O undefined

A: The given integral is: I=∫x3x4+2dx     ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: Find the difference quotient, a) 5h²+2a+h+6 h Ob) 10a + 5h + 1 O c) 10a +1 Od) 5h + 1 f(a+h)-f(a) h…

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Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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Q: Find the constants a and b such that the function is continuous on the entire real line. 8, ax+b,…

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Q: 1. dx *² +4x+5 Sz

A: The given integral is ∫dxx2+4x+5 We have to find the integral

Q: Obtain the differential equation of: Circles tangent to the x-axis

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Q: 7. Find the greatest integer that divides all numbers of the form 109" +96" - 53″ – 66″ for n ≥ 1.…

A: Disclaimer: Since you have asked the multiple question,we will solve the first question for you. if…

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: The marginal cost of printing a poster when x posters have been printed is dollars. Find c(100) –…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A₂=-5, A3 = 7, and A4 = -7. Use the following…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: A car was valued at $33,000 in the year 1994. The value depreciated to $12,000 by the year 2006. A)…

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Q: K O O Given the integrals I, J, K and L, where 3 dx = 6²° 3 .00 dx x + 2' O 1 = = [₁*√x- √x-3 dx, L…

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Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: find the volume of the solid bounded by y=2x+1,y=3and x=4 about using the line y=10 the cylindrical…

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Q: 5 ['s (Use symbolic notation and fractions where needed.) Calculate the integral, assuming that 5…

A: The objective is to find the integral.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Topic = Vector

Q: (f) If F¹(x, y) = 5y sin(xy)i + 5x sin(xy)j, then f(x, y) =

A: Given vector field F→(x,y)=5ysin(xy) i→ +5xsin(xy) j→ we need to find function f(x,y) such that…

Q: Find the composite functions (f g) and (gf). What is the domain of each f(x) = 2/ g(x)=x²-49…

A: We can answer the question as below by filling up the blanks.