Draw out using base-ten blocks to compute the following. a) 46 +38 b) 115-69

Q: Solve the following differential equation u'(t)+u(t) = sin^2(t)u'(t)+1 with the initial condition:…

A: We are required to solve the differential equationu'(t)+u(t)=sin2t.u'(t)+1 given uπ4=5

Q: 2. Find a vector equation and parametric equations for the line segment that joins the point P(2, 4,…

A: To find vector equation and parametric equation of line.

Q: Determine the maximum curvature for the graph of f(x) = 4 In (2x)

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Q: Use the diskor shell method to find the volume of the solid generated by revolving the region in the…

A: Volume revolving about x and y axis

Q: $3000. 300-€ e

A: Given :e∫3300-tdt

Q: Find all the second-order partial derivatives of the following function. 6 8 +y 74 f(x,y)=xy-x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ← Suppose the position of an object moving in a straight line is given by s(t) = 1² -1² + 6. Find…

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Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

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Q: Determine if this statement is true or false: If A(x) = f(t)dt then the graph of A 5 crosses the…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: To find a vector equation and parametric equation for the line which  passes through the point 7, 3,…

Q: Consider the following graph. y 10 5 JA -5 5 -5 -10 -10 10 X ℗ Use the given graph of the function…

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Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

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Q: te the following: 2x dx x - 4 dx

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Q: 3. Evaluate the limits. Determine ±∞ when appropriate. Be sure to show intermediate steps. (a) lim…

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Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

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Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: Q.#6 Source: Stewart Ed. 8 You are given the composition r(x) = f(g(h(x))), where h(1) = 2,…

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Q: How many steps does a limit proof have? What are they?

A: We have to write about the steps involved in limit proof.

Q: Find r(t) if r'(t) = t9i + 4t3 j-t5k and r(0) = j

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Q: 2. Find an equation for the line through the point P(1, 0, -3) and perpendicular xy-plane. to the

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Q: dp For the demand equation, use implicit differentiation to find dx dp dx || 1 13p² + 9p+ 4 = x

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Q: a) What is the coefficient of  x6 in the binomial expansion of  (2+3x)9

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Flores bought 5 pounds of chicken. He cooked 1 pound for dinner. What fraction did he cook? and what…

A: Given query is to find the fraction of chicken cooked and fraction left.

Q: A ball of radius 12 with a cylindrical hole of radius 7 drilled through its center has volume:…

A: given ball radius is 12 cylindrical hole radius is 7 ball is the shape of sphere volume of sphere…

Q: Find ?w ar = − 1 ifw = (x+y+z)², x=r-s, y = cos (r+s), z = sin (r + s). - when r= 1 and s=

A: Given that w=(x+y+z)2, x=r-s, y=cos(r+s) and z=sin(r+s)   As per Bertleby Guideline I have to solve…

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Estimate the instantaneous rate of change of h(x)=4x^(2)+4 at the point: x=2

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Q: f(x)=9x², -2≤x≤2

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

A: The equation of the curve is given as,r(t)=(1+5t)i+(3+2t)j+(9-2t)kand the interval is given as,…

Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: Q.#7 Source: Stewart Ed. 8, adapted from P. Wilkinson et al. The average blood alcohol concentration…

A: We have given value of c(t).

Q: (LT3.a) Use the Fundamental Theorem of Calculus to find the exact value of the definite integral √2…

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Q: Use integration by parts to find the integral. ( √x xeax dx (a = 0)

A: Given integral ∫xeaxdx

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: For the function f(x,y,z)= In (4x + 7y + 10z), find fx. fy, and f₂.

A: Detailed solutions are given below.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Can someone please help me

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. x…

A: Given that : r(t) = (3cos3t)j + (3sin3t)k. And 0 to π/3. We find the curve's unit tangent vector and…

Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

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Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

A: Given query is to find indicated limit.

Q: In each question sketch the region with the given boundaries and find the area of the region: (a)…

A: Here we have to find the area bounded by the curves.

Q: 9x-7 2x²-3x+1

A: Topic - Partial fraction decomposition We are given 9x-72x2-3x+1

Q: K Let f(x) be a differentiable function such that f(4) = 3 and f'(4) = 5. If g(x)=x².f(x), then find…

A: The objective is to solve the above question.

Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: Solve the equation for exact solutions over the interval [0°, 360°). 4 cos ^2x − 1 = 0

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Q: An ornamental light bulb is designed by revolving the graph ofy about thex-axis wherex andy are…

A: I have appended the formula used in the solution part of the question