Use the like bases property and exponents to solve the equation (호) x =128 X = ? x

Q: . Determine the corresponding Cartesian equation. [ L1: = [4,-3, 5] + t[2, 0,3], t € R and L2: 7 =…

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Q: Find (f g)(6) for the functions f(x) and g(x) given below. f(x)=x²+2 and g(x)=x-1 (f. g) (6)= [?]…

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Q: (a) (i) Prove from the definition of differentiability that the function x+3 a-2 is differentiable…

A: as per guidelines we are supposed to answer first question only.

Q: The velocity function of an object is given below. Velocity is measured in feet per second and time…

A: Application of integration

Q: Compute y' for y=√(3x++ e - 3x) 8 A (В B D Say 3 24 y = ²4 (4x³ - e-³x) (3x + + e-³x) ³ 5 3 8…

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Q: woman drives 10 miles, accelerating uniformly from rest to 60 mph. a) Graph her velocity versus…

A: The formula for the acceleration is rate of change of velocity, ie. a=vf-vit

Q: f(x) If h(x)=- and f(1) =2. f(1) =3. g (1)=-3, g'(1) = -2, compute h' (1) g(x) A h'(1)= B 5 h'(1)=-…

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Q: not evaluate the li 5 lim 81x WI -1 =1 n i n

A: To determine the region whose area is equal to the given limit. limn→∞ ∑i=1n 1nin5

Q: Find the domain and range and describe the level curves for the function f(x,y). 1 f(x, y) =…

A: We have to find the domain and range of the given function. Also we have to find out the level curve…

Q: The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is…

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Q: Which of the following represents the average function value of g(t) = et over [-7, 10]? 10 • L₁ e ²…

A: Given: g(t)=et We are required to find: Average value of the function g(t) over the interval -7,10

Q: Use a double integral to find the area A of the shaded region. -3 -2 KIN 2 3. 2 1 -2 -3- r = 1-…

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Q: Problem 3. Compute the following integrals. 2√√/22-22 V 1. √ √ 5√2²2² + y²dydz

A: Note:-Since you asked multiple questions ,according to our policy we can solve only first question…

Q: Solve the equation and a. write the solution set for the general solution b. Write the solution set…

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Q: Find the equation of the tangent line at the given point on the following curve. x² + y² = 17₁…

A: Need to find derivative to find slope of the line.

Q: The demand for boneless chicken breast, in dollars per pound, is given by q = - 0.6p + 6, w here p…

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Q: Evaluate the triple integral. JIJ 2x dV, where E is bounded by the paraboloid x = 5y2 + 5z² and the…

A: ∫∬E2xdV , x=5y2+5z2  and  x=5

Q: Solve for x, log(2x) + log(x-9)=log(44) A B (С D x = 11 x=11 and x=-2 x=2, x=-11 None of the other…

A: Question-1

Q: f(x) = a) Determine the intervals on which f is concave up and concave down. f is concave up on: f…

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Q: The graph of a continuous function f is shown in the figure below. Arrange the following quantities…

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Q: Find the quadratic function f(x) = ax²+bx+c that goes through (5,0) and has a local maximum at…

A: The vertex form of the parabola is given by So the vertex is ...............(1)

Q: 1. Explain why log, 1=0. Hint: Use exponentials!

A: To prove log_a(1)=0

Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Use the precise definition of the limit to show that lim x² + 4x - 5 = 7. x-2

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Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

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Q: Pls help ASAP

A: Consider the graph

Q: a. Identify the function's local extreme values in the given domain, and say where occur. b. Which…

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Q: Find the curvature of the curve r(t) = (3t, - 3t³, 2+¹) at the point t = 1. Give your answer to 2…

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Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: Determine the general antiderivative for the following function valid for all 0. Use C as your…

A: fx=3x

Q: cos 47. ¹/2 * f(x, y) dy dx 10

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y =…

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Q: Follow-up Questions 1. Explain why log, 1=0. Hint: Use exponentials! 2. Explain why log, a' = x is…

A: These are multiple questions. And we can do only 2 so i am doing only first you can repost another…

Q: Eliminate the parameter to find a Cartesian equation for the curve. x = 1 + 10 cos(3t), y = 11 + 9…

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Describe the line in coordinate form passing through the point (-4, -6, 5) in the direction of j.…

A: The equation of the line passing through the point P with the position vector a and parallel to the…

Q: what is the amplitude

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Q: f(x) = 9x x² +7 on the domain [-5,0]. Select the correct choice below and, if necessary, fill in the…

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Q: At which points on the curve y = 1 + 60x³ - 2x5 does the tangent line have the largest slope? (x, y)…

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Q: lim  x→∞  6x^2 − 7/5x^2 + x − 3

A: Determine the limit

Q: b. Identify the function's local extreme values, if any, saying where they occur. f(x)=x²-8x² + 16

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Q: Pls help ASAP

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Q: Consider the integral 10 √₁0 (x²+1) dx (a) Estimate the area under the curve using a right-hand sum…

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Q: Determine if the function x-3 x + 2 f(x) satisfies the hypotheses of the Mean Value Theorem (MVT) on…

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest…

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Q: Find all the first order partial derivatives for the following function. f(x, y) = 9x - 5y2 - 3 . -…

A: The function is given by fx, y = 9x-5y2-3 To determine: The expression of ∂f∂x and ∂f∂y

Q: Demand for apartments in a certain town is D(x)=1480−3x​,and the supply is S(x)=500+11x​, where x…

A: To find the equilibrium point, we need to find the value of x for which demand equals supply, i.e.,…

Q: H = 21 +979e-0.1t. (a) Find the temperature of the bar at the end of one hour. (Round your answer to…

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Q: 1. Find the anti derivative of: 3x² + 4x + 12

A: The anti derivative of a function f(x) is the integral of the function f(x) Formulas we use:…

Q: Identify the correct description for the formula g'(t) (2k) ¹g(tk)+(2k) ¹g(t + k) from the following…

A: We have to correctly describe the given formulae.