The expression cos 30 can be rewritten as 1 - 4 cos 8+4 cos³8 O True False

Q: Calculus 3: Vector function

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Q: GUEN f(x) = 2x² -18 x²-4 FIND ANY CRITICAL VALUES. FIND SECOND DERIVATIVE. h) FIND ANY INFLECTION…

A: We need to solve function for 2nd derivative, critical points and inflection points.

Q: 39. So In x x2 dx

A: ∫ lnx / x  limit 0 to 1

Q: Use logarithmic differentiation to find the derivative of y. y = (x^3 + 1)^3(x - 1)5x^3

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim Σ Σ(1+2) i…

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Q: 5. Determine the equation of the curve whose tangent line at any point (x,y) is e* — sin x and…

A: Determine the equation of the curve whose tangent line at any point (x, y) is ex – sin x and passes…

Q: 89°F Partly sunny C If v = 5i+j and w = -5i - j, then the projection of v onto w is: F1 1 O 5i + j O…

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Q: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

A: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

Q: = ln(x² + y²). Show that b.Let z = 8²z əx² dy² 0² + = = 0

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Q: Find the velocity, acceleration, and speed of a particle with the given position function r(t) = t²i…

A: The expression for the velocity is:The expression for the acceleration is:The expression for the…

Q: Find an exponential function of the form P(t)= Pon that models the situation, and then find the…

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Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

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Q: Consider the following vector field. F(x, y, z) = 2xye² i + yzex k (a) Find the curl of the vector…

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Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

A: Using the singular points, we can find the maximum radius of convergence.

Q: 3. For parts (a)- (c), use f(x) = 2 cos2x + √√3 cos x (a) Solve f(x) = 0 over the interval [0, 27):

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Q: √a. Si eve da is Using the substitution u = equal to which of the following?

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Q: Use the Intermediate Value Theorem to show that the equ (77) = ecos(7 (0.1) sin

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Q: 0 18. (sin x- — π 4 π 4 1)dx + f (cos x + 1)dx 0

A: we have given integration

Q: Verify the following identity: sin(a+B) + sin(a - B) = 2sinacosß Use the paperclip button be

A: We use the sum to product formulas to prove the given identity.

Q: TC P(t) = 75 cos (1-3)] +725 The function approximates the population, P(t), of rabbits in a nearby…

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Q: Find the equation of the tangent plane to the graph of f(x, y) = ln (4x² - y²) at the point (1, 1).…

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Q: Find all of the solutions of the equation 6cos²x- cosx-1=0 on the interval [0, 360°]. Approximate…

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Q: Find the area of the surface. the helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)i…

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Q: Find each of the following for f(x) = 5x +4. (a) f(x + h) (b) f(x+h)-f(x) f(x+h)-f(x) (c) h (a) f(x…

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Q: How many solutions does the following equation have on the interval [0, 21 2sin220 = sin20 4 08 O 5

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. O A = B= C=…

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Q: 2 2 7. f(sec¹x – tan^x)(tan x sec x)dx

A: Remember the identity : Remember the formula

Q: SC y Jo Jo (xy + 1) dy

A: The given integral is:

Q: y=0 (Type your answer in slope-intercept form. Do not round until the final answer. Then round to…

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Q: The total cost C of ordering and storing x units is C = 5x + (330,000/x). What order size will…

A: Given the cost function .We have to find the order size that will produce a minimum cost.

Q: Find the matrix A' for T relative to the basis B'. A' = T: R³ → R³, T(x, y, z) = (x, y, z), B' =…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: Let r = xi + yj + zk and r = [r]. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa]…

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Q: Find the interest earned on $15,000 invested for 3 years at 6% interest compounded as foll a.…

A: Principal $15000Time 3 yearsRate = 6%

Q: Prove that if A and B are similar, then |A| = IB. Is the converse true?

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Q: 5. y = log (9x - 7)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the equation of the tangent plane to the graph of 7y √x f(x, y) = at the point (9,-1). (Use…

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Q: Differentiate. g(x)=x^(2.6)*

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: We have to determine whether or not the vector field is conservative. If it is conservative, find a…

Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: given angle

Q: 37. Find: d dx (125x)

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: F tly sunny Find the exact value of cos(255°) cos(105°). -√3-2 4 04/1 + 0 - 1/1/0 O -√3+2 4 5 Q…

A: To find the exact value of .

Q: Solve the given differential equation by undetermined coefficients. y"8y' + 20y = 100x² - 65xex y(x)…

A: The solution is shown in step-2

Q: Minimize f(x,y) = x² + xy + y² subject to y = -6 without using the method of Lagrange multipliers;…

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Q: Find all of the solutions of the equation on the interval [0, 2π]: tan²xsinx = sinx. ○ 풀, 풍, 풍, 풍…

A: The solution is shown in step-2

Q: (a) f(x) = (x¹/2+2-1/2) √In(x)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A = B = C=…

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Q: Let s(t) = 8t³ + 12t²-144t be the equation of motion for a particle. Find a function for the…

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Q: For the following function find (a) f(4), (b) f f(x)=4x²-36x+81 (a) Find the value of f(4). (-). (c)…

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