at x = The function has a relative minimum of at x = The function is increasing on the interval(s):

Q: Convert polar equation r=cos3 θ to cartesian equation

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Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to inve...

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: 3t -5 4 -3 -2 -1 2 -2 What is the least possible degree of the polynomial graphed above?

A: find the least possible degree of the polynomial .

Q: A) Evaluate the integral Jf(x) dx. B) Find the average value of the function f(x) over the interval ...

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Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular ...

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0 ...(1)fy=8xy-2x2y-3xy2fy=08xy-2x2y-3xy2=...

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

A:

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

Q: g8) = 6x34 54x2+90X Is the graph of g) gx) at X= -12 the graph of ga)is concave up orconcaue down at...

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Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: y- (6+5t-ビア 3.

A: We can find the derivative using chain rule as below

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: Find the general solution to this homogeneous equation using the auxiliary equation method y”+ 4y’ +...

A: The given differential equation is  y''+4y'+8y=0.

Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: Write an equation for the function graphed

A: Given graph:

Q: The graph of a company's marginal profit P'(t) at month t is shown over the interval [0, 42] a. On w...

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Q: 7. y= tan e+ e

A: This is a problem of differentiation of the function. By using general formula of the differentiatio...

Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below f...

A:

Q: cos x dx 1 - cos? x d)

A: We have to find the antiderivative if the given part d.

Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t. Fin...

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Q: Anote card company has found that the marginal cost per card of producing x note cards is given by t...

A: Given query is to find the cost of prducing x cards.

Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: 11 11 | 6g (x) – 10f (x) dæ given that f (x) e dæ -7 and g(x) dx - 24. 9.

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a...

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Q: Use the integral test to determine if the series converges or diverges. Σ 1 5 n=1 (n + 2)7 8.

A: This is a problem of series and sum calculator. By using integral test we will identify the nature o...

Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 Th...

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Q: Evaluate P(n, k – 1)P(n – 1,n – k). - k=1

A: We have to evaluate ∑k=1nPn,k-1Pn-1,n-k

Q: Q 1) Find an antiderivative for each function. S dt : a) S (1 – cot? x) dx b) +2) dx

A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

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Q: Let bn and Cn for all n e N such that n > 2. Determine whether the given n = COS = COS n – 1 series ...

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Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is R6 (the Right-Hand...

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Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

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

Q: C b 630 A 53

A: Topic = Triangle

Q: 6. A vertical tank shaped like a truncated square pyramid is filled with water. Find the work requir...

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Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

Q: =[in(4-x cos (r4

A:

Q: dx

A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A: