Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

Q: A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtained b...

A: We need to interpret the problem for given data.

Q: Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + ta...

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Q: The distance between the points P(0, 0,4) and Q(7,6, 8) is V102 Select one: True False

A: According to question,Given points,P0, 0, 4 and Q7, 6, 8

Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 O Always True O...

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Q: Suppose f'(x) is continuous over an interval a < x < b, and a <c< d < b. If f'(c) = - 8, then (check...

A: topic- functions and derivatives

Q: How

A: We will use Lagranges Multipliers. 

Q: n2 +1

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Q: Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C = 15 a...

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Q: Given a function whose graph is shown below. The function is continuous on[1,3]. Always True 1. O So...

A: The given graph shows that - The given function has a non removable discontinuity at x= 2 ( Non remo...

Q: Express the general solution of the given differential equation on the interval (0, 0) in terms of B...

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with equatio...

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Q: The table below gives the percentage, P, of households with a VCR, as a function of year. Year 1978 ...

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Q: Where did the value of _1 come from, explain the solution step by step and in a clear line, please x...

A: Formula: If bases are same then their Division: powers should be  substratcted am/an = am-n

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +9 dy y...

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Q: Evaluate the function for the given values. h(x) = [[x + 6 ] %3D (a) h(-5) (b) hG) 2 (c) h(4.6) (d) ...

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 4, f'(0) = –15, f"(0) = 8, ...

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Q: represent the total number of trees in the forest, let h represent the number of hickory trees, and ...

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Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: c.Find the first four non zero terms of the Maclaurin Series for the given functions. Write the powe...

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Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: I and late the integral and deter ergence of (problem in pict M/4 sec²x a. 1-tan x

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Q: While taking a walk along the road where you live, you accidentally drop your glove, but you don't k...

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Q: Simplify: 1+ cos 2x. 2 cot2 x

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Q: te: dt +C +C +C

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Q: The table shows the results of a survey on the average amount of money d, in dollars, consumers woul...

A:  Given: X Y 25 42 28 36 33 26 35 22 42 8 Straight line equation is d=ax+b The normal...

Q: Solve for t e2t+ 4et + 4= 0 e2−4t + 5 = 20

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: +00 2 en-3 3 n=1

A: Let's find. 

Q: A5.5-foot-tall woman walks at 4 ft/s toward a street light that is 16,5 ft above the ground, What is...

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Q: f(-4) = -7, f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

A: Given, Evaluate ∫5x2+x+36x3+9xdx

Q: Which of the following is an antiderivative of f(x)= x-3 + 3e6z ? Select one: O F(x) = 긍x2+ O None. ...

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Q: 3.) Construct a truth table for the compound statement. a) pA (p-q) b) (q - -p) A-q T. T. F F c) Are...

A: The detailed solution is given below Thank you 

Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy d...

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

A: I am attaching image so that you understand each and every step.  

Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

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Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and p...

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: Evaluate; | em(sin2x) sin2xdx sin 3x +C 3 A sin?x +C 2 B sin*x +C 4 sin4x +C 2 D E None

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Q: Find a linear homogeneous constant coefficient equation with the gen- eral solution y = (A+ Bx)e-2* ...

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Q: For the following functions: a) determine if f is continuous at x1, if not, determine the type of di...

A: The given functions are:1. fx=x+3if x≤3x3-20if x&gt;3 at the point x1=32. fx=4-xif x≤44-x2if x&gt;4a...

Q: (b) Let z = 24695 + 99288 i. Enter a square root of z, in maple syntax, in the box below.

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)3 f(x) = E n ...

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Q: Use the graph, which shows the circulation (in millions) of daily newspapers in the United States.t ...

A: solution