f(x) = 8x + 2x−¹

Q: Evaluate the following limit using L'Hospital's rule. Enter an exact answer. Provide your answer…

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Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: [CLO-3] Use the given velocity function and initial position to estimate the final position s(b).…

A: A detailed solution is given below.

Q: 4. Use cylindrical coordinates to evaluate [!] √²³² + y²dv₁ D where D is the region that lies inside…

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the…

A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

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Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Calculate d^2 f where f(x,y)=e^x sin⁡y.

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: Find the average rate of change of f(x) = 5x²-9 on the interval [2, t]. Your answer will be an…

A: Use the formula for the average rate of change of a function.

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: (a) f(x) = 2x³ + 3x² - 12

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: Q2: find dw/dt at given value point for the following function

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: c. lim f(x) X→-2+ d. lim f(x) X-0

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Q: Find the present value of a $30, 000 annual income stream if it is invested immediately as it is…

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

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Q: Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not…

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Q: 2x²+x-1 Evaluate -dx using method of partial fractions. Which of the (x-1) (x³+1) following is the…

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Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

A: Here we have to find the root by newtons method.

Q: 1. A circle with radius 2 is centered at the origin (0,0). For an angle (measured counter- clockwise…

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Q: 1) x² + y² + ² = 3, P. (1,1,1) 2) 2=-x²=0, P. (2,0,2) XZ 3) cos(x)=x²y + e + yz = 4, P. (0,1,2)

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Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

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Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

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Q: Question 6 Consider the function in the graph to the right. The function has a maximum of at x = The…

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Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: 5. Evaluate 4 1+√√/5x J -dx

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Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

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Q: Describe the graph of the equation. r = 5 cos ti - 8 sin tj+ k O An ellipse in the plane z = 1,…

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Q: 3) w=2ye* -In(z), x = ln(t² +1), y = tan ¹(t), z = e¹, at t = 1

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

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Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

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Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector < -1, 2…

Q: N) dy x dx X (1+y) y (1-x)

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Q: Evaluate the definite integral. J01(e 20t i+e-t j+t k)dt e 20-120 i-(e-1-1) j+12 k e 20-120-(e-1-1)…

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Q: the

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Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information