4. Evaluate (²52³Vl-Pax

Q: f the measurement of the side of a cube is increased from 5 cm to 5.2 cm, the approximate increase…

A: Side of cube is increased from 5 to 5.2

Q: Several terms of a sequence {an}=1 are given below. 5, 5 5 5 5 6' 36' 216' 1,296 a. Find the next…

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Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 96. f(x) = √x (Use…

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Q: The integral fe*- a dxdy is equal to O 2e-a+2 2 2e-a-4 2 2e-a+4 2 2e-a 2 9

A: Given :∫01∫0yex-adxdy

Q: Approximate the value of 22.5 O4 + 4 In(2) O4+2 In(2) O 6 O 4 +0.5 In(4)

A: The objective of the question is determine the approximate value of the given value.

Q: Use the given information to find the exact value of the trigonometric function.  cos θ = 1/4 , csc…

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Q: Evaluate: S 2y+3 (y-1)(³-1) dy ○ − In\y − 1| − § (y − 1)³ + ½ In|y² + y +1| - arctan (√3(2y+1) ) +…

A: To evaluate: I=∫2y+3(y-1)(y3-1)dy=∫2y+3(y-1)(y-1)(y2+y+1)dy=∫2y+3(y-1)2(y2+y+1)dy

Q: No 1 Problem Use the method of disks/rings to determine the volume of the solid obtained by rotating…

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Q: A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and…

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Q: EV None of the choices Ocot³ (1)-cot (1) - ○tan³ () - tan() Ocot³ (¹)-tan (1)

A: givenI=∫cot4(1θ)θ2dθlet  1θ=x-1θ2=dxdθ1θ2dθ=-dxI=-∫cot4(x)dx…

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

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Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: Find 7 sin² (7x) dx

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Q: Given the function of two variables f(x, y)= ln(√x + 16). The partial derivative with respect to x…

A: Given, f(x,y)=ln(x6+y66)

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Estimate the area under the graph of f(x)=1/x+2 over the interval [2,5] using eight approximating…

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Q: Use the given information to find the exact value of the trigonometric function.  sin θ = 1/4 , θ…

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Q: Integrate da - z Select one: O A. In | ¹²² | + √1 - ² + C --- I OB. 2in1 - 2in1-¹² + √1-x² + C OC.…

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Q: Evaluate: St dz 2√√7+3 ○1-3 ln(7/5) O 2-3 ln(7/5) 2 2+3 ln 7 03-In()

A: Given :∫14dx2x+3

Q: Integrate 72x+3 dar Select one: OA. 722+3 In 40 OB. 72+3 In 49 OC. 72x+3 In47 OD. 72+3 In50 +C +C +C…

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: State the domain of each function below in interval notation. 3x a. q(x) = 39 x+9 b. p(x) = 3x³x² +…

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-4x³+27x² +8x-58 2-5i is a zero…

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y² = 5,…

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Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: See this solution in below

Q: DEMAND FUNCTION! → X зорех REVENUE FUNCION • R(x) = 2 р IF ((x) = 18,000 + 500x sop لعاصد 25,000-50p…

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Q: Evaluate: ffdxdydz 0 - 12/1 0 1 0/1/201 0 -1

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Q: dy Find using implicit differentiation. dx Hint: First clear the denominator to get 8x² + 6y =…

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips 8 6 4 2 (1.95, 7.07 0.5…

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Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = continuous? is

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Q: A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and…

A: Given data as follows :- Diameter of the semicircular gate is 4m. Height of the dam is 12 m.  Water…

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: To find the minimum distance from a point to a paraboloid is just to minimize the function…

Q: Describe the surface with cylindrical equation r=6

A: We have to describe the surface with cylindrical equation r=6.

Q: lim cot 1 -1 8418 1

A: A detailed solution is given below.

Q: 4. √₁² √9-x² dx

A: Follow the procedure given below.

Q: Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16…

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Q: 3) [ Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

A: Given :-4x3y-16dy=6x2y2-10dx

Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

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Q: Evaluate: cot¹ (+) -do None of the choices Ocot³ (1)-cot ()- tan³ () - tan() - ○ cot³ (1)- - tan() -…

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Q: If f(x) is a differentiable function then f'(a) is given by which of the following? f(x) = f(a) I.…

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Q: if u=f(x,y), x=g(w) and y=h(w), using chain rule, what is ∂u/∂w?

A: Silution : Given that u = f(x,y)

Q: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

Q: Question 22 A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of…

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Q: Consider the initial value problem (a) Solve the initial value problem. (enter yo for yo). y(t)= y'…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have…

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: If f(x, y) = √6xy - 4x + 30y then fa = Select one: O True O False -4√6xy+3y √6xy

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Q: Find and classify the critical point of f(x,y) = -³y² - xy + y²³.

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