(a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x² X 5555 h 2 1 0.1 0.01 f(x+h)-f(x) h

Q: Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

A: We have, Points:- A(7, 1, 3) B(-3, 4, 0) C(1, -1, 2)

Q: Find h'(t) if h(t) = h' (t)= 6 1/6 6 5/7

A: We have to find firse derivative of function h(t).

Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

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Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: The radian measure of the acute angle is 0 =

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Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

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Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: Evaluate the double integral circles x² + y² = 9 and x² = 9 and x² Answer: SSR y² -dA, where R is…

A: To evaluate the given double integral use the following substitution. x=rcosθ y=rsinθ x2+y2=r2

Q: Write the trigonometric expression as algebraic expression in u. cot(cos^-1u)

A: We have to write the trigonometric expression as algebraic expression in u. cot(cos^-1u).

Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If…

A: An expresso stand finds that its weekly profit is a function of the price, x,…

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

Q: If a company's marginal revenue function is MR(x) = xe-x/2, find the revenue function. [Hint:…

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Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

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Q: X cos(x) dx?

A: ∫xcosxdx

Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

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Q: Find the area of the region enclosed by y = 3.25x and x = 7.5-y². 2 2 1 2 w A 5 6 N Use horizontal…

A: The area bounded by the curves x= f(y) , x= g(y) between y= a and y = b is given by A = ∫abfy-gy dy

Q: Compute the dot product. (Use symbolic notation and fractions where needed.) ( ²1₁ 212 ) · ( 5₁ -1)…

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Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (3x +21) + 1.1…

A: gx=ln3x+21+1.1

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1 and a z-intercept of 5.…

A: The x-intercept is 4 The y-intercept is (-1) The z-intercept is 5 So they can be written in ordered…

Q: Can u solve all? Its easy for u

A: We need to solve algebra.

Q: Consider the surface F(x, y, z) = x6x6 + sin(y8z6) — 10 = 0. Find the following partial derivatives…

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Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: A tank, shaped like a cone has height 4 meters and base radius 3 meters long. It is placed so that…

A: This is question of calculus. Here cone is given  And water in cone given  We have to find work for…

Q: Determine which graph corresponds to the area enclosed by the curves y = 4x² and y = x² + 7. O O ú 6…

A: To determine the graph that corresponds to the area enclosed  by the curves y=4x2 and y=x2+7. To…

Q: Please solve this 100% Correctly and ASAP. Thank you Find the slope of the tangent to y = 5-x at the…

A: Given function is y=5-x We have to find the slope of tangent at y=0.2

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+9, and z = 0. V =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A plant with a mass of 10 kg is suspended from a ceiling by two lengths of rope that makes angles…

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Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: Use a calculator to find the acute angle between the planes given below x+2y + 2z = 8, x-y-3z=5 The…

A: x+2y+2z=8x-y-3z=5

Q: II. Find a vector parametrization and parametric equations for the line with the given description.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: onsider the force field F(x, y, z) = xi + yj + zk. Compute the work done in moving a particle along…

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Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

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Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: (b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

A: As per our guidelines we are supposed to answer only one question at a time. So only solution of…

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

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Q: Find a parametrization of the line in which the planes x+y+z=4 and y + z = 8 intersect. Find the…

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Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…